Dirty-boson physics with magnetic insulators

Andrey Zheludev; Tommaso Roscilde

doi:10.1016/j.crhy.2013.10.001

Dirty-boson physics with magnetic insulators
[Physique des bosons sales avec des isolants magnétiques]

Andrey Zheludev ¹ ; Tommaso Roscilde ²

¹ Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland
² Laboratoire de physique, CNRS UMR 5672, École normale supérieure de Lyon, Université de Lyon, 46, allée dʼItalie, 69364 Lyon cedex 07, France

Comptes Rendus. Physique, Volume 14 (2013) no. 8, pp. 740-756.

Résumé
Abstract

Nous passons en revue des efforts récents, à la fois théoriques et expérimentaux, visant à étudier la physique de bosons désordonnés interagissant (dénommés bosons sales) dans le contexte du magnétisme quantique. La physique des bosons sales relève dʼune large varieté de systèmes de matière condensée, incluant lʼhélium dans les milieux poreux, les supraconducteurs granulaires et les atomes ultra-froids dans les potentiels optiques désordonnés, pour ne citer que ceux-là. Néanmoins, la compréhension de la transition dʼune phase de verre de Bose localisée vers un condensat ordonné, superfluide, représente encore un problème ouvert fondamentalement. Reste à construire aussi une description quantitative des phases hautement inhomogènes et fortement corrélées connectées par la transition. Nous discutons comment des isolants magnétiques désordonnés placés dans un champ magnétique fort peuvent fournir une réalisation bien contrôlée de cette transition. La combinaison de simulations numériques et dʼexpériences sur des matériaux réels peut faire la lumière sur certaines propriétés fondamentales du comportement critique, telles que lʼajustement de la température critique à la condensation près du point critique quantique.

We review recent theoretical and experimental efforts aimed at the investigation of the physics of interacting disordered bosons (so-called dirty bosons) in the context of quantum magnetism. The physics of dirty bosons is relevant to a wide variety of condensed matter systems, encompassing helium in porous media, granular superconductors, and ultracold atoms in disordered optical potentials, to cite a few. Nevertheless, the understanding of the transition from a localized, Bose-glass phase to an ordered, superfluid condensate phase still represents a fundamentally open problem. Still to be constructed is also a quantitative description of the highly inhomogeneous and strongly correlated phases connected by the transition. We discuss how disordered magnetic insulators in a strong magnetic field can provide a well-controlled realization of the above transition. Combining numerical simulations with experiments on real materials can shed light on some fundamental properties of the critical behavior, such as the scaling of the critical temperature to condensation close to the quantum critical point.

Publié le : 2013-10-01

DOI : 10.1016/j.crhy.2013.10.001

Keywords: Quantum magnetism, Disorder effects, Bose glass
Mot clés : Magnétisme quantique, Effets de désordre, Verre de Bose

Affiliations des auteurs :

Andrey Zheludev ¹ ; Tommaso Roscilde ²

@article{CRPHYS_2013__14_8_740_0,
     author = {Andrey Zheludev and Tommaso Roscilde},
     title = {Dirty-boson physics with magnetic insulators},
     journal = {Comptes Rendus. Physique},
     pages = {740--756},
     publisher = {Elsevier},
     volume = {14},
     number = {8},
     year = {2013},
     doi = {10.1016/j.crhy.2013.10.001},
     language = {en},
}

TY  - JOUR
AU  - Andrey Zheludev
AU  - Tommaso Roscilde
TI  - Dirty-boson physics with magnetic insulators
JO  - Comptes Rendus. Physique
PY  - 2013
SP  - 740
EP  - 756
VL  - 14
IS  - 8
PB  - Elsevier
DO  - 10.1016/j.crhy.2013.10.001
LA  - en
ID  - CRPHYS_2013__14_8_740_0
ER  -

%0 Journal Article
%A Andrey Zheludev
%A Tommaso Roscilde
%T Dirty-boson physics with magnetic insulators
%J Comptes Rendus. Physique
%D 2013
%P 740-756
%V 14
%N 8
%I Elsevier
%R 10.1016/j.crhy.2013.10.001
%G en
%F CRPHYS_2013__14_8_740_0

Andrey Zheludev; Tommaso Roscilde. Dirty-boson physics with magnetic insulators. Comptes Rendus. Physique, Volume 14 (2013) no. 8, pp. 740-756. doi : 10.1016/j.crhy.2013.10.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.10.001/

Bibliographie
Cité par

[1] S. Sachdev Quantum Phase Transitions, Cambridge University Press, 2011

[2] Introduction to Frustrated Magnetism (C. Lacroix; P. Mendels; F. Mila, eds.), Springer, 2011

[3] L.C. Tippie; W.G. Clark Low-temperature magnetism of quinolinium (TCNQ)₂, a random-exchange Heisenberg antiferromagnetic chain. I. Static properties, Phys. Rev. B, Volume 23 ( Jun. 1981 ), pp. 5846-5853

[4] Daniel S. Fisher Random antiferromagnetic quantum spin chains, Phys. Rev. B, Volume 50 ( Aug. 1994 ), pp. 3799-3821

[5] A. Furusaki; M. Sigrist; E. Westerberg; P.A. Lee; K.B. Tanaka; N. Nagaosa Random-exchange quantum Heisenberg chains, Phys. Rev. B, Volume 52 ( Dec. 1995 ), pp. 15930-15942

[6] Sebastian Eggert; Ian Affleck Impurities in $S = 1 / 2$ Heisenberg antiferromagnetic chains: Consequences for neutron scattering and knight shift, Phys. Rev. Lett., Volume 75 ( Jul. 1995 ), pp. 934-937

[7] E.G. Batyev; L.S. Braginski Sov. Phys. JETP, 60 (1984), p. 781

[8] T. Giamarchi; A.M. Tsvelik Phys. Rev. B, 59 (1999), p. 11398

[9] T. Giamarchi; Ch. Ruegg; O. Tchernyshev Nat. Phys., 4 (2008), p. 198

[10] T. Giamarchi; H.J. Schulz Phys. Rev. B, 37 (1988), p. 325

[11] M.P.A. Fisher; P.B. Weichman; G. Grinstein; D.S. Fisher Phys. Rev. B, 40 (1989), pp. 546-570

[12] Baldev R. Patyal; Brian L. Scott; Roger D. Willett Crystal-structure, magnetic-susceptibility, and epr studies of bis(piperidinium)tetrabromocuprate(ii): A novel monomer system showing spin diffusion, Phys. Rev. B, Volume 41 ( Jan. 1990 ), pp. 1657-1663

[13] M.B. Stone; I. Zaliznyak; Daniel H. Reich; C. Broholm Frustration-induced two-dimensional quantum disordered phase in piperazinium hexachlorodicuprate, Phys. Rev. B, Volume 64 ( Sep. 2001 ) no. 14, p. 144405

[14] H. Manaka; I. Yamada; K. Yamaguchi J. Phys. Soc. Jpn., 66 (1997), p. 564

[15] Masashi Fujisawa; Jun-Ichi Yamaura; Hidekazu Tanaka; Hiroshi Kageyama; Yasuo Narumi; Koichi Kindo Crystal structure and magnetic properties of the quasi-one-dimensional quantum spin system Cu₂Cl₄⋅H₈C₄SO₂, J. Phys. Soc. Jpn., Volume 72 (2003) no. 3, pp. 694-697

[16] A.W. Sandvik AIP Conf. Proc., 1297 (2010), p. 135

[17] B.T.M. Willis; C.J. Carlile Experimental Neutron Scattering, Oxford University Press, 2009

[18] M. Jaime Netsu Sokutei, 37 (2010), p. 26

[19] T. Shiroka; F. Casola; V. Glazkov; A. Zheludev; K. Prša; H.-R. Ott; J. Mesot Distribution of nmr relaxations in a random Heisenberg chain, Phys. Rev. Lett., Volume 106 ( Apr. 2011 ), p. 137202

[20] M. Thede; F. Xiao; Ch. Baines; C. Landee; E. Morenzoni; A. Zheludev Ordering in weakly coupled random singlet spin chains, Phys. Rev. B, Volume 86 ( Nov. 2012 ), p. 180407

[21] M. Azuma; Y. Fujishiro; M. Takano; M. Nohara; H. Takagi Switching of the gapped singlet spin-liquid state to an antiferromagnetically ordered state in Sr(Cu_{1 − x}Zn_x)₂O₃, Phys. Rev. B, Volume 55 ( Apr. 1997 ), p. R8658-R8661

[22] J. Bobroff; N. Laflorencie; L.K. Alexander; A.V. Mahajan; B. Koteswararao; P. Mendels Impurity-induced magnetic order in low-dimensional spin-gapped materials, Phys. Rev. Lett., Volume 103 ( Jul. 2009 ), p. 047201

[23] Y. Uchiyama; Y. Sasago; I. Tsukada; K. Uchinokura; A. Zheludev; T. Hayashi; N. Miura; P. Böni Spin-vacancy-induced long-range order in a new haldane-gap antiferromagnet, Phys. Rev. Lett., Volume 83 ( Jul. 1999 ), pp. 632-635

[24] D. Hüvonen; S. Zhao; G. Ehlers; M. Månsson; S.N. Gvasaliya; A. Zheludev Excitations in a quantum spin liquid with random bonds, Phys. Rev. B, Volume 86 ( Dec. 2012 ), p. 214408

[25] B. Náfrádi; T. Keller; H. Manaka; U. Stuhr; A. Zheludev; B. Keimer Bond randomness induced magnon decoherence in a spin- $\frac{1}{2}$ ladder compound, Phys. Rev. B, Volume 87 ( Jan. 2013 ), p. 020408

[26] C. Hess; B. Büchner; U. Ammerahl; L. Colonescu; F. Heidrich-Meisner; W. Brenig; A. Revcolevschi Magnon heat transport in doped La₂CuO₄, Phys. Rev. Lett., Volume 90 ( May 2003 ), p. 197002

[27] N. Hlubek; P. Ribeiro; R. Saint-Martin; S. Nishimoto; A. Revcolevschi; S.-L. Drechsler; G. Behr; J. Trinckauf; J.E. Hamann-Borrero; J. Geck; B. Büchner; C. Hess Bond disorder and breakdown of ballistic heat transport in the spin- $\frac{1}{2}$ antiferromagnetic Heisenberg chain as seen in Ca-doped SrCuO₂, Phys. Rev. B, Volume 84 ( Dec. 2011 ), p. 214419

[28] F. Bloch Z. Phys., 61 (1930), p. 206

[29] T. Holstein; H. Primakoff Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev., Volume 58 ( Dec. 1940 ), pp. 1098-1113

[30] Yu.M. Bunkov; G.E. Volovik Novel Superfluids, Oxford University Press, 2013 (Chapter 4)

[31] Yu.M. Bunkov; G.E. Volovik, 2009 | arXiv

[32] Y.M. Bunkov; G.E. Volovik Magnon Bose–Einstein condensation and spin superfluidity, J. Phys. Condens. Matter, Volume 22 (2010) no. 16, p. 164210

[33] T. Matsubara; H. Matsuda Prog. Theor. Phys., 16 (1956), p. 569

[34] V.N. Popov Functional Integrals and Collective Excitations, Cambridge University Press, 1987

[35] M. Tachiki; J. Yamada J. Phys. Soc. Jpn., 28 (1970), p. 1413

[36] F. Mila Eur. Phys. J. B, 6 (1998), p. 201

[37] T. Tsuneto; T. Murao Physica, 51 (1971), p. 186

[38] I. Affleck Phys. Rev. Lett., 65 (1990), p. 2477

[39] I. Affleck Phys. Rev. B, 43 (1991), p. 3215

[40] P.P. Mitra; B.I. Halperin Phys. Rev. Lett., 72 (1994), p. 912

[41] A. Zheludev; S.M. Shapiro; Z. Honda; K. Katsumata; B. Grenier; E. Ressouche; L.-P. Regnault; Y. Chen; P. Vorderwisch; H.-J. Mikeska; A.K. Kolezhuk Phys. Rev. B, 69 (2004), p. 054414

[42] R. Chitra; T. Giamarchi Critical properties of gapped spin-chains and ladders in a magnetic field, Phys. Rev. B, Volume 55 ( Mar. 1997 ) no. 9, pp. 5816-5826

[43] E.S. Sorensen; I. Affleck Phys. Rev. Lett., 71 (1993), p. 1633

[44] B. Kramer; A. MacKinnon Rep. Prog. Phys., 56 (1993), p. 1469

[45] Tommaso Roscilde Field-induced quantum-disordered phases in $s = \frac{1}{2}$ weakly coupled dimer systems with site dilution, Phys. Rev. B, Volume 74 ( Oct. 2006 ), p. 144418

[46] R. Yu; L. Yin; N.S. Sullivan; J.S. Xia; C. Huan; A. Paduan-Filho; N.F. Oliveira; S. Haas; A. Steppke; C.F. Miclea; F. Weickert; R. Movshovich; E.-D. Mun; B.L. Scott; V.S. Zapf; T. Roscilde Nature, 489 (2012), p. 379

[47] P.W. Anderson Basic Notions of Condensed Matter, Benjamin, Menlo Park, 1984

[48] T. Giamarchi; H.J. Schulz Europhys. Lett., 3 (1987), p. 1287

[49] Zoran Ristivojevic; Aleksandra Petković; Pierre Le Doussal; Thierry Giamarchi Phase transition of interacting disordered bosons in one dimension, Phys. Rev. Lett., Volume 109 ( Jul. 2012 ), p. 026402

[50] Vladimir A. Kashurnikov; Alexei I. Podlivaev; Nikolai V. Prokofʼev; Boris V. Svistunov Supercurrent states in one-dimensional finite-size rings, Phys. Rev. B, Volume 53 ( May 1996 ), pp. 13091-13105

[51] Ehud Altman; Yariv Kafri; Anatoli Polkovnikov; Gil Refael Insulating phases and superfluid–insulator transition of disordered boson chains, Phys. Rev. Lett., Volume 100 ( May 2008 ), p. 170402

[52] Ehud Altman; Yariv Kafri; Anatoli Polkovnikov; Gil Refael Superfluid–insulator transition of disordered bosons in one dimension, Phys. Rev. B, Volume 81 ( May 2010 ), p. 174528

[53] L. Pollet; N. Prokofʼev; B.V. Svistunov Phys. Rev. B, 87 (2013), p. 144203

[54] T. Giamarchi; P. Le Doussal; E. Orignac Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott glass, Phys. Rev. B, Volume 64 ( Dec. 2001 ), p. 245119

[55] Nikolay Prokofʼev; Boris Svistunov Superfluid–insulator transition in commensurate disordered bosonic systems: Large-scale worm algorithm simulations, Phys. Rev. Lett., Volume 92 ( Jan. 2004 ), p. 015703

[56] Karén G. Balabanyan; Nikolay Prokofʼev; Boris Svistunov Superfluid–insulator transition in a commensurate one-dimensional bosonic system with off-diagonal disorder, Phys. Rev. Lett., Volume 95 ( Jul. 2005 ), p. 055701

[57] Ehud Altman; Yariv Kafri; Anatoli Polkovnikov; Gil Refael Phase transition in a system of one-dimensional bosons with strong disorder, Phys. Rev. Lett., Volume 93 ( Oct. 2004 ), p. 150402

[58] Fawaz Hrahsheh; Thomas Vojta Disordered bosons in one dimension: From weak- to strong-randomness criticality, Phys. Rev. Lett., Volume 109 ( Dec. 2012 ), p. 265303

[59] Peter B. Weichman; Kihong Kim Dimensionality expansion for the dirty-boson problem, Phys. Rev. B, Volume 40 ( Jul. 1989 ), pp. 813-816

[60] Peter B. Weichman; Ranjan Mukhopadhyay Particle–hole symmetry and the dirty boson problem, Phys. Rev. B, Volume 77 ( Jun. 2008 ), p. 214516

[61] J.T. Chayes; L. Chayes; Daniel S. Fisher; T. Spencer Finite-size scaling and correlation lengths for disordered systems, Phys. Rev. Lett., Volume 57 ( Dec. 1986 ), pp. 2999-3002

[62] Anand Priyadarshee; Shailesh Chandrasekharan; Ji-Woo Lee; Harold U. Baranger Quantum phase transitions of hard-core bosons in background potentials, Phys. Rev. Lett., Volume 97 ( Sep. 2006 ), p. 115703

[63] Hannes Meier; Mats Wallin Quantum critical dynamics simulation of dirty boson systems, Phys. Rev. Lett., Volume 108 ( Jan. 2012 ), p. 055701

[64] Peter B. Weichman; Ranjan Mukhopadhyay Critical dynamics of the dirty boson problem: Revisiting the equality $z = d$ , Phys. Rev. Lett., Volume 98 ( Jun. 2007 ), p. 245701

[65] Fei Lin; Erik S. Sørensen; D.M. Ceperley Superfluid–insulator transition in the disordered two-dimensional Bose–Hubbard model, Phys. Rev. B, Volume 84 ( Sep. 2011 ), p. 094507

[66] Ş.G. Söyler; M. Kiselev; N.V. Prokofʼev; B.V. Svistunov Phase diagram of the commensurate two-dimensional disordered Bose–Hubbard model, Phys. Rev. Lett., Volume 107 ( Oct. 2011 ), p. 185301

[67] Peter Hitchcock; Erik S. Sørensen Bose-glass to superfluid transition in the three-dimensional Bose–Hubbard model, Phys. Rev. B, Volume 73 ( May 2006 ), p. 174523

[68] Rong Yu; Corneliu F. Miclea; Franziska Weickert; Roman Movshovich; Armando Paduan-Filho; Vivien S. Zapf; Tommaso Roscilde Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet, Phys. Rev. B, Volume 86 ( Oct. 2012 ), p. 134421

[69] R. Yu; S. Haas; T. Roscilde Universal phase diagram of disordered bosons from a doped quantum magnet, Europhys. Lett., Volume 89 (2010), p. 10009

[70] R.P. Feynman Int. J. Theor. Phys., 21 (1982), p. 467

[71] P.A. Crowell; F.W. Van Keuls; J.D. Reppy Onset of superfluidity in ⁴He films adsorbed on disordered substrates, Phys. Rev. B, Volume 55 ( May 1997 ), pp. 12620-12634

[72] B. Sacépé; T. Dubouchet; C. Chapelier; M. Sanquer; M. Ovadia; D. Shahar; M. Feigelman; L. Ioffe Nat. Phys., 7 (2011), p. 239

[73] L. Fallani; C. Fort; M. Inguscio Adv. At. Mol. Opt. Phys., 56 (2008), p. 119

[74] L. Sanchez-Palencia; M. Lewenstein Nat. Phys., 6 (2010), p. 87

[75] G. Modugno Anderson localization in Bose–Einstein condensates, Rep. Prog. Phys., Volume 73 (2010) no. 10, p. 102401

[76] B. Shapiro Cold atoms in the presence of disorder, J. Phys. A, Math. Theor., Volume 45 (2012) no. 14, p. 143001

[77] T. Yankova; D. Hüvonen; S. Mühlbauer; D. Schmidiger; E. Wulf; S. Zhao; A. Zheludev; T. Hong; V.O. Garlea; R. Custelcean; G. Ehlers Crystals for neutron scattering studies of quantum magnetism, Philos. Mag., Volume 92 (2012) no. 19–21, pp. 2629-2647

[78] Y. Endoh; G. Shirane; R.J. Birgeneau; Peter M. Richards; S.L. Holt Dynamics of an $S = 1 / 2$ , one-dimensional Heisenberg antiferromagnet, Phys. Rev. Lett., Volume 32 ( Jan. 1974 ), pp. 170-173

[79] Tao Hong; R. Custelcean; B.C. Sales; B. Roessli; D.K. Singh; A. Zheludev Synthesis and structural characterization of 2Dioxane⋅H₂O⋅CuCl₂: Metal–organic compound with Heisenberg antiferromagnetic $S = 1 / 2$ chains, Phys. Rev. B, Volume 80 ( Oct. 2009 ), p. 132404

[80] B.C. Watson; V.N. Kotov; M.W. Meisel; G.E. Granroth; W.T. Montfrooij; S.E. Nagler; D.A. Jensen; R. Backov; M.A. Petruska; G.E. Fanucci; D.R. Talham Phys. Rev. Lett., 86 (2001), p. 5168

[81] T. Masuda; A. Zheludev; H. Manaka; L.-P. Regnault; J.-H. Chung; Y. Qiu Dynamics of composite haldane spin chains in IPA–CuCl₃, Phys. Rev. Lett., Volume 96 ( Feb. 2006 ) no. 4, p. 047210

[82] Ch. Ruegg; B. Normand; M. Matsumoto; A. Furrer; D. McMorrow; K.W. Kramer; H.-U. Gudel; S.N. Gvasaliya; H. Mutka; M. Boehm Phys. Rev. Lett., 100 (2008), p. 25701

[83] M.B. Stone; C. Broholm; D.H. Reich; O. Tchernyshyov; P. Vorderwisch; N. Harrison Quantum criticality in an organic magnet, Phys. Rev. Lett., Volume 96 ( Jun. 2006 ) no. 25, p. 257203

[84] A. Oosawa; M. Ishi; H. Tanaka J. Phys. Condens. Matter, 11 (1999), p. 265

[85] A. Oosawa; H. Aruga Katori; H. Tanaka Specific heat study of the field-induced magnetic ordering in the spin-gap system TlCuCl₃, Phys. Rev. B, Volume 63 ( Mar. 2001 ), p. 134416

[86] V.O. Garlea; A. Zheludev; L.-P. Regnault; J.-H. Chung; Y. Qiu; M. Boehm; K. Habicht; M. Meissner Excitations in a four-leg antiferromagnetic Heisenberg spin tube, Phys. Rev. Lett., Volume 100 ( Jan. 2008 ) no. 3, p. 037206

[87] H. Tanaka; A. Oosawa; T. Kato; H. Uekusa; Y. Ohashi; K. Kakurai; A. Hoser J. Phys. Soc. Jpn., 70 (2001), p. 939

[88] V.O. Garlea; A. Zheludev; T. Masuda; H. Manaka; L.-P. Regnault; E. Ressouche; B. Grenier; J.-H. Chung; Y. Qiu; K. Habicht; K. Kiefer; M. Boehm Excitations from a Bose–Einstein condensate of magnons in coupled spin ladders, Phys. Rev. Lett., Volume 98 ( Apr. 2007 ) no. 16, p. 167202

[89] T. Nikuni; M. Oshikawa; A. Oosawa; H. Tanaka Bose–Einstein condensation of dilute magnons in TlCuCl₃, Phys. Rev. Lett., Volume 84 ( Jun. 2000 ), pp. 5868-5871

[90] N. Cavadini; Ch. Rüegg; A. Furrer; H.-U. Güdel; K. Krämer; H. Mutka; P. Vorderwisch Triplet excitations in low- $H_{c}$ spin-gap systems KCuCl₃ and TlCuCl₃: An inelastic neutron scattering study, Phys. Rev. B, Volume 65 ( Mar. 2002 ), p. 132415

[91] Ch. Ruegg; N. Cavadini; A. Furrer; H.-U. Gudel; K. Kramer; H. Mutka; A. Wildes; K. Habicht; P. Vorderwisch Nature, 423 (2003), p. 62

[92] V.N. Glazkov; A.I. Smirnov; H. Tanaka; A. Oosawa Spin-resonance modes of the spin-gap magnet TlCuCl₃, Phys. Rev. B, Volume 69 ( May 2004 ), p. 184410

[93] Y. Chen; Z. Honda; A. Zheludev; C. Broholm; K. Katsumata; S.M. Shapiro Phys. Rev. Lett., 86 (2001), p. 1618

[94] A.K. Kolezhuk; V.N. Glazkov; H. Tanaka; A. Oosawa Dynamics of an anisotropic spin dimer system in a strong magnetic field, Phys. Rev. B, Volume 70 ( Jul. 2004 ), p. 020403

[95] J. Sirker; A. Weisse; O.P. Sushkov Consequences of spin–orbit coupling for the Bose–Einstein condensation of magnons, Europhys. Lett., Volume 68 (2004) no. 2, p. 275

[96] F. Yamada; T. Ono; H. Tanaka; G. Misguich; M. Oshikawa; T. Sakakibara J. Phys. Soc. Jpn., 77 (2008), p. 013701

[97] H. Manaka; I. Yamada; Z. Honda; H. Aruga Katori; K. Katsumata J. Phys. Soc. Jpn., 67 (1998), p. 3913

[98] M.B. Stone; C. Broholm; D.H. Reich; P. Schiffer; O. Tchernyshyov; P. Vorderwisch; N. Harrison Field-driven phase transitions in a quasi-two-dimensional quantum antiferromagnet, New J. Phys., Volume 9 (2007) no. 2, p. 31

[99] A. Zheludev; V.O. Garlea; T. Masuda; H. Manaka; L.-P. Regnault; E. Ressouche; B. Grenier; J.-H. Chung; Y. Qiu; K. Habicht; K. Kiefer; M. Boehm Dynamics of quantum spin liquid and spin solid phases in IPA–CuCl₃ under an applied magnetic field studied with neutron scattering, Phys. Rev. B, Volume 76 ( Aug. 2007 ) no. 5, p. 054450

[100] H. Manaka; I. Yamada; M. Hagiwara; M. Tokunaga Phys. Rev. B, 63 (2001), p. 144428

[101] V.N. Glazkov; T.S. Yankova; J. Sichelschmidt; D. Hüvonen; A. Zheludev Electron spin resonance study of anisotropic interactions in a two-dimensional spin-gap magnet (C₄H₁₂N₂)(Cu₂Cl₆), Phys. Rev. B, Volume 85 ( Feb. 2012 ), p. 054415

[102] Matthew B. Stone; Igor A. Zaliznyak; Tao Hong; Collin L. Broholm; Daniel H. Reich Quasiparticle breakdown in a quantum spin liquid, Nature, Volume 440 ( March 2006 ) no. 7081, pp. 187-190

[103] A. Zheludev; V.O. Garlea; L.-P. Regnault; H. Manaka; A. Tsvelik; J.-H. Chung Extended universal finite-t renormalization of excitations in a class of one-dimensional quantum magnets, Phys. Rev. Lett., Volume 100 ( Apr. 2008 ) no. 15, p. 157204

[104] B. Náfrádi; T. Keller; H. Manaka; A. Zheludev; B. Keimer Low-temperature dynamics of magnons in a spin-1/2 ladder compound, Phys. Rev. Lett., Volume 106 ( Apr. 2011 ) no. 17, p. 177202

[105] A. Paduan-Filho; X. Gratens; N.F. Oliveira Field-induced magnetic ordering in NiCl₂⋅4SC(NH₂)₂, Phys. Rev. B, Volume 69 ( Jan. 2004 ), p. 020405

[106] V.S. Zapf; D. Zocco; B.R. Hansen; M. Jaime; N. Harrison; C.D. Batista; M. Kenzelmann; C. Niedermayer; A. Lacerda; A. Paduan-Filho Bose–Einstein condensation of $s = 1$ nickel spin degrees of freedom in NiCl₂-4SC(NH₂)₂, Phys. Rev. Lett., Volume 96 ( Feb. 2006 ), p. 077204

[107] S.A. Zvyagin; J. Wosnitza; C.D. Batista; M. Tsukamoto; N. Kawashima; J. Krzystek; V.S. Zapf; M. Jaime; N.F. Oliveira; A. Paduan-Filho Magnetic excitations in the spin-1 anisotropic Heisenberg antiferromagnetic chain system NiCl₂–4SC(NH₂)₂, Phys. Rev. Lett., Volume 98 ( Jan. 2007 ), p. 047205

[108] Roger D. Willett The magnetic susceptibility of paraquat hexabromodicuprate (ii): a comparison of the magnetochemistry of copper(ii) chloride and copper(ii) bromide salts, Inorg. Chem., Volume 25 (1986) no. 11, pp. 1918-1920

[109] Fumiko Yamada; Hidekazu Tanaka; Toshio Ono; Hiroyuki Nojiri; Abdulla Rakhimov; Shuhrat Mardonov; E.Ya. Sherman; Andreas Schilling The effects of disorder in dimerized quantum magnets in mean field approximations, New J. Phys., Volume 83 ( Jan. 2011 ), p. 020409

[110] D. Hüvonen; S. Zhao; M. Månsson; T. Yankova; E. Ressouche; C. Niedermayer; M. Laver; S.N. Gvasaliya; A. Zheludev Field-induced criticality in a gapped quantum magnet with bond disorder, Phys. Rev. B, Volume 85 ( Mar. 2012 ), p. 100410

[111] H. Manaka; A.V. Kolomiets; T. Goto Disordered states in IPA–Cu(Cl_{1 − x}Br_x)₃ induced by bond randomness, Phys. Rev. Lett., Volume 101 ( Aug. 2008 ), p. 077204

[112] Hirotaka Manaka; Hiroko Aruga Katori; Oleksandr Viktorovych Kolomiets; Tuneaki Goto Bose-glass state in one-dimensional random antiferromagnets, Phys. Rev. B, Volume 79 ( Mar. 2009 ), p. 092401

[113] A. Zheludev; D. Hüvonen Comment on “Transition from Bose glass to a condensate of triplons in Tl_{1 − x}K_xCuCl₃”, Phys. Rev. B, Volume 83 ( Jun. 2011 ), p. 216401

[114] Fumiko Yamada; Hidekazu Tanaka; Toshio Ono; Hiroyuki Nojiri Reply to “Comment on ‘transition from Bose glass to a condensate of triplons in Tl_{1 − x}K_xCuCl₃’ ”, Phys. Rev. B, Volume 83 ( Jun. 2011 ), p. 216402

[115] Tao Hong; Y.H. Kim; C. Hotta; Y. Takano; G. Tremelling; M.M. Turnbull; C.P. Landee; H.-J. Kang; N.B. Christensen; K. Lefmann; K.P. Schmidt; G.S. Uhrig; C. Broholm Field-induced Tomonaga–Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions, Phys. Rev. Lett., Volume 105 ( Sep. 2010 ) no. 13, p. 137207

[116] Amnon Aharony Critical behavior of amorphous magnets, Phys. Rev. B, Volume 12 ( Aug. 1975 ), pp. 1038-1048

[117] Yoseph Imry; Shang-keng Ma Random-field instability of the ordered state of continuous symmetry, Phys. Rev. Lett., Volume 35 ( Nov. 1975 ), pp. 1399-1401

[118] I.B. Ferreira; A.R. King; V. Jaccarino; J.L. Cardy; H.J. Guggenheim Random-field-induced destruction of the phase transition of a diluted two-dimensional ising antiferromagnet: Rb₂Co_0.85Mg_0.15F₄, Phys. Rev. B, Volume 28 ( Nov. 1983 ), pp. 5192-5198

[119] R.J. Birgeneau; R.A. Cowley; G. Shirane; H. Yoshizawa Temporal phase transition in the three-dimensional random-field Ising model, Phys. Rev. Lett., Volume 54 ( May 1985 ), pp. 2147-2150

[120] E. Wulf; D. Hüvonen; J.-W. Kim; A. Paduan-Filho; E. Ressouche; S. Gvasaliya; V. Zapf; A. Zheludev Criticality in a disordered quantum antiferromagnet by neutron diffraction | arXiv

[121] S. Ward; P. Bouillot; H. Ryll; K. Kiefer; K.W. Krämer; Ch. Rüegg; C. Kollath; T. Giamarchi, 2013 | arXiv

[122] M. Klanjšek; H. Mayaffre; C. Berthier; M. Horvatić; B. Chiari; O. Piovesana; P. Bouillot; C. Kollath; E. Orignac; R. Citro; T. Giamarchi Controlling Luttinger liquid physics in spin ladders under a magnetic field, Phys. Rev. Lett., Volume 101 ( Sep. 2008 ) no. 13, p. 137207

[123] Henrik Grundmann; Andreas Schilling; Casey A. Marjerrison; Hanna A. Dabkowska; Bruce D. Gaulin Structure and magnetic interactions in the solid solution Ba3–xSrxCr2O8, Mat. Res. Bull., Volume 48 (2013), p. 3108

Cité par Sources :

Commentaires - Politique

Ces articles pourraient vous intéresser

A review of Monte Carlo simulations for the Bose–Hubbard model with diagonal disorder

Lode Pollet

C. R. Phys (2013)

Many-body quantum electrodynamics networks: Non-equilibrium condensed matter physics with light

Karyn Le Hur; Loïc Henriet; Alexandru Petrescu; ...

C. R. Phys (2016)

Strong disorder renormalization group primer and the superfluid–insulator transition

Gil Refael; Ehud Altman

C. R. Phys (2013)