Comptes Rendus
no. 3-4
Condensed matter physics in the 21st century: The legacy of Jacques Friedel
One-dimensional physics in the 21st century
[La physique unidimensionnelle au XXIe siècle]
Thierry Giamarchi1
1 DQMP, University of Geneva, 24, quai Ernest-Ansermet, 1211 Genève, Switzerland
Comptes Rendus. Physique, Volume 17 (2016) no. 3-4, pp. 322-331.

Cet article constitue une courte introduction à une sélection de questions et de systèmes expérimentaux ayant trait à la physique des systèmes quantiques en interaction. Historiquement, les conducteurs et supraconducteurs organiques – un domaine extrêmement actif au sein du Laboratoire de physique des solides à d'Orsay, en grande partie grâce à l'influence de Jacques Friedel, ont joué un rôle crucial dans ce domaine de recherche. Je décrirai certains des aspects de cette physique et épasserai également en revue certains des développements, tant du point de vue théorique qu'expérimental, qui se sont produits dans le monde des unidimensionnels pendant la dernière quinzaine d'années.

This paper presents a brief introduction to some of the systems and questions concerning one-dimensional interacting quantum systems. Historically, organic conductors and superconductors – a field extremely active in the “Laboratoire de physique des solides” in Orsay, in a good part thanks to the influence of Jacques Friedel, played a crucial role in this field. I will describe some of the aspects of this physics and also review some of the very exciting theoretical and experimental developments that took place in the 1D world in the last 15 years or so.

Publié le :
DOI : 10.1016/j.crhy.2015.11.009
Mots clés : Low dimensional systems, Strong correlations, Bosonization, Luttinger liquids, Quantum spins
Thierry Giamarchi 1

1 DQMP, University of Geneva, 24, quai Ernest-Ansermet, 1211 Genève, Switzerland 
@article{CRPHYS_2016__17_3-4_322_0,
     author = {Thierry Giamarchi},
     title = {One-dimensional physics in the 21st century},
     journal = {Comptes Rendus. Physique},
     pages = {322--331},
     publisher = {Elsevier},
     volume = {17},
     number = {3-4},
     year = {2016},
     doi = {10.1016/j.crhy.2015.11.009},
     language = {en},
}
TY  - JOUR
AU  - Thierry Giamarchi
TI  - One-dimensional physics in the 21st century
JO  - Comptes Rendus. Physique
PY  - 2016
SP  - 322
EP  - 331
VL  - 17
IS  - 3-4
PB  - Elsevier
DO  - 10.1016/j.crhy.2015.11.009
LA  - en
ID  - CRPHYS_2016__17_3-4_322_0
ER  - 
%0 Journal Article
%A Thierry Giamarchi
%T One-dimensional physics in the 21st century
%J Comptes Rendus. Physique
%D 2016
%P 322-331
%V 17
%N 3-4
%I Elsevier
%R 10.1016/j.crhy.2015.11.009
%G en
%F CRPHYS_2016__17_3-4_322_0
Thierry Giamarchi. One-dimensional physics in the 21st century. Comptes Rendus. Physique, Volume 17 (2016) no. 3-4, pp. 322-331. doi : 10.1016/j.crhy.2015.11.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2015.11.009/

[1] J.M. Ziman Principles of the Theory of Solids, Cambridge University Press, Cambridge, UK, 1972

[2] J. Friedel Philos. Mag., 43 (1952), p. 153

[3] J. Friedel Nuovo Cimento, 7 (1958), p. 287

[4] L.D. Landau J. Exp. Theor. Phys., 3 (1957), p. 920

[5] L.D. Landau J. Exp. Theor. Phys., 5 (1957), p. 101

[6] P. Nozieres Theory of Interacting Fermi Systems, Benjamin, New York, 1961

[7] D. Jérome; A. Mazaud; M. Ribault; K. Bechgaard J. Phys. Lett., 41 (1980), p. L-95

[8] T. Giamarchi Quantum Physics in One Dimension, International Series of Monographs on Physics, vol. 121, Oxford University Press, Oxford, UK, 2004

[9] A.O. Gogolin; A.A. Nersesyan; A.M. Tsvelik Bosonization and Strongly Correlated Systems, Cambridge University Press, Cambridge, UK, 1999

[10] M.A. Cazallila; R. Citro; T. Giamarchi; E. Orignac; M. Rigol One dimensional bosons: from condensed matter systems to ultracold gases, Rev. Mod. Phys., Volume 83 (2011), p. 1405

[11] F.D.M. Haldane J. Phys. C, 14 (1981), p. 2585

[12] D. Jerome, Marcel Dekker, Inc. (1994), p. 405

[13] D. Jérome Chem. Rev., 104 (2004), p. 5565

[14] (A. Lebed, ed.), The Physics of Organic Superconductors, Springer, 2007

[15] A. Schwartz; M. Dressel; G. Grüner; V. Vescoli; L. Degiorgi; T. Giamarchi On-chain electrodynamics of metallic (TMTSF)2X salts: observation of Tomonaga–Luttinger liquid response, Phys. Rev. B, Volume 58 (1998), p. 1261

[16] T. Giamarchi Physica B, 230–232 (1997), p. 975

[17] D. Pashkin; M. Dressel; C.A. Kuntscher Phys. Rev. B, 74 (2006)

[18] T. Giamarchi Chem. Rev., 104 (2004), p. 5037

[19] K. Heuzé; M. Fourmigué; P. Batail; C. Coulon; R. Clérac; E. Canadell; P. Auban-Senzier; S. Ravy; D. Jérome Adv. Mater., 15 (2003), p. 1251

[20] T. Giamarchi Quantum phase transitions in quasi-one dimensional systems (L.D. Carr, ed.), Understanding Quantum Phase Transitions, CRC Press/Taylor & Francis, 2010, p. 291

[21] B.S. Shastry; B.I. Shraiman; R.R. Singh Phys. Rev. Lett., 70 (1993), p. 2004

[22] E. Lange; G. Kotliar Phys. Rev. Lett., 82 (1999), p. 1317

[23] E. Lange Phys. Rev. B, 6 (1997), p. 3907

[24] A. Lopatin Phys. Rev. B, 57 (1997), p. 6342

[25] A. Lopatin; A. Georges; T. Giamarchi Hall effect and inter-chain magneto-optical properties of coupled Luttinger liquids, Phys. Rev. B, Volume 63 (2001) | arXiv

[26] G. Leon; T. Giamarchi J. Low Temp. Phys., 142 (2006), p. 315

[27] G. León; C. Berthod; T. Giamarchi Phys. Rev. B, 75 (2007)

[28] J. Moser; J.R. Cooper; D. Jérome; B. Alavi; S. Brown; K. Bechgaard Phys. Rev. Lett., 84 (2000), p. 2674

[29] G. Mihaly; I. Kezsmarsky; F. Zamborsky; L. Forro Phys. Rev. Lett., 84 (2000), p. 2670

[30] B. Korin-Hamzić; E. Tafra; M. Basletić; A. Hamzić; G.U.M. Dressel Conduction anisotropy, Hall effect, and magnetoresistance of (TMTSF)2ReO4 at high temperatures, Phys. Rev. B, Volume 67 (2003)

[31] B. Korin-Hamzić; E. Tafra; M. Basletić; A. Hamzić; M. Dressel Phys. Rev. B, 73 (2006)

[32] T. Giamarchi Some experimental tests of Tomonaga–Luttinger liquids, Int. J. Mod. Phys. B, Volume 26 (2012), p. 1244004 http://www.worldscientific.com/doi/abs/10.1142/S0217979212440043

[33] I. Bloch; J. Dalibard; W. Zwerger Many-body physics with ultracold gases, Rev. Mod. Phys., Volume 80 (2008), pp. 885-964 | DOI

[34] J. Dalibard; F. Gerbier; G. Juzeliūnas; P. Öhberg Colloquium: artificial gauge potentials for neutral atoms, Rev. Mod. Phys., Volume 83 (2011), pp. 1523-1543 | DOI

[35] M. Atala; M. Aidelsburger; M. Lohse; J.T. Barreiro; B. Paredes; I. Bloch Observation of chiral currents with ultracold atoms in bosonic ladders, Nat. Phys., Volume 10 (2014), p. 588

[36] M. Mancini; G. Pagano; G. Cappellini; L. Livi; M. Rider; J. Catani; C. Sias; P. Zoller; M. Inguscio; M. Dalmonte; L. Fallani Observation of chiral edge states with neutral fermions in synthetic Hall ribbons, 2015 | arXiv

[37] A.M. Chang Chiral Luttinger liquids at the fractional quantum hall edge, Rev. Mod. Phys., Volume 75 (2003), p. 1449

[38] M.Z. Hasan; C.L. Kane Colloquium: topological insulators, Rev. Mod. Phys., Volume 82 (2010), pp. 3045-3067 | DOI

[39] C. R. Phys., 14 (2013) no. 9–10

[40] I. Affleck Fields, Strings and Critical Phenomena (E. Brezin; J. Zinn-Justin, eds.), Elsevier Science, Amsterdam, 1988, p. 563

[41] P.P. Mitra; B.I. Halperin; I. Affleck Temperature dependence of the electron-spin-resonance spectrum of the chain-end S=1/2 modes in an S=1 antiferromagnetic chain, Phys. Rev. B, Volume 45 (1992), pp. 5299-5306 | DOI

[42] S. Miyashita; S. Yamamoto Effect of edges in s=1 Heisenberg antiferromagnetic chains, Phys. Rev. B, Volume 48 (1993), p. 913

[43] T. Holstein; H. Primakoff Phys. Rev., 58 (1940), pp. 1098-1113

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

[45] T. Giamarchi; A.M. Tsvelik Coupled ladders in a magnetic field, Phys. Rev. B, Volume 59 (1999), p. 11398

[46] T. Giamarchi; C. Ruegg; O. Tchernyshyov Bose–Einstein condensation in magnetic insulators, Nat. Phys., Volume 4 (2008), p. 198

[47] V. Zapf; M. Jaime; C.D. Batista Bose–Einstein condensation in quantum magnets, Rev. Mod. Phys., Volume 86 (2014), pp. 563-614 | DOI

[48] S. Ward; P. Bouillot; H. Ryll; K. Kiefer; K.W. Krämer; C. Rüegg; C. Kollath; T. Giamarchi Spin ladders and quantum simulators for Tomonaga–Luttinger liquids, J. Phys. C, Volume 25 (2013)

[49] S. Mukhopadhyay; M. Klanjšek; M.S. Grbić; R. Blinder; H. Mayaffre; C. Berthier; M. Horvatić; M.A. Continentino; A. Paduan-Filho; B. Chiari; O. Piovesana Quantum-critical spin dynamics in quasi-one-dimensional antiferromagnets, Phys. Rev. Lett., Volume 109 (2012) | DOI

[50] 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 (2008) no. 13 | arXiv | DOI

[51] C. Rüegg; K. Kiefer; B. Thielemann; D.F. McMorrow; V. Zapf; B. Normand; M.B. Zvonarev; P. Bouillot; C. Kollath; T. Giamarchi; S. Capponi; D. Poilblanc; D. Biner; K.W. Krämer Thermodynamics of the spin Luttinger liquid in a model ladder material, Phys. Rev. Lett., Volume 101 (2008)

[52] B. Thielemann; C. Rüegg; K. Kiefer; H.M. Rønnow; B. Normand; P. Bouillot; C. Kollath; E. Orignac; R. Citro; T. Giamarchi; A.M. Läuchli; D. Biner; K.W. Krämer; F. Wolff-Fabris; V.S. Zapf; M. Jaime; J. Stahn; N.B. Christensen; B. Grenier; D.F. McMorrow; J. Mesot Phys. Rev. B, 79 (2008)

[53] B. Thielemann; C. Rüegg; H.M. Rønnow; A.M. Läuchli; J.-S. Caux; B. Normand; D. Biner; K. Krämer; H.-U. Güdel; J. Stahn; K. Habicht; K. Kiefer; M. Boehm; D.F. McMorrow; J. Mesot Phys. Rev. Lett., 102 (2009)

[54] K.Y. Povarov; D. Schmidiger; N. Reynolds; R. Bewley; A. Zheludev Scaling of temporal correlations in an attractive Tomonaga–Luttinger spin liquid, Phys. Rev. B, Volume 91 (2015)

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

[56] M.P.A. Fisher; P.B. Weichman; G. Grinstein; D.S. Fisher Phys. Rev. B, 40 (1989), p. 546

[57] T. Hong; A. Zheludev; H. Manaka; L.-P. Regnault Evidence of a magnetic Bose glass in (CH3)2CHNH3Cu(Cl0.95Br0.05)3 from neutron diffraction, Phys. Rev. B, Volume 81 (2010) no. 6 | DOI

[58] F. Yamada; H. Tanaka; T. Ono; H. Nojiri Phys. Rev. B, 83 (2011)

[59] 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.S. Scott; V.S. Zapf; T. Roscilde Bose glass in DTN, Nature, Volume 489 (2012), p. 379

[60] U. Schollwöck The density-matrix renormalization group in the age of matrix product states, Ann. Phys., Volume 326 (2011), p. 96

[61] S.R. White Density-matrix algorithms for quantum renormalization groups, Phys. Rev. B, Volume 48 (1993) no. 14, pp. 10345-10356 | DOI

[62] T. Hikihara; A. Furusaki Phys. Rev. B, 63 (2001)

[63] P. Bouillot; K. Corinna; A.M. Läuchli; M. Zvonarev; B. Thielemann; C. Rüegg; E. Orignac; R. Citro; M. Horvatić; C. Berthier; M. Klanjšek; T. Giamarchi Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field, Phys. Rev. B, Volume 83 (2011) | DOI

[64] D. Schmidiger; S. Mühlbauer; A. Zheludev; P. Bouillot; T. Giamarchi; C. Kollath; G. Ehlers; A.M. Tsvelik Symmetric and asymmetric excitations of a strong-leg quantum spin ladder, Phys. Rev. B, Volume 88 (2013) | DOI

[65] E.H. Lieb; W. Liniger Phys. Rev., 130 (1963), p. 1605

[66] E.H. Lieb; F.Y. Wu Phys. Rev. Lett., 20 (1968), p. 1445

[67] F.D.M. Haldane Effective harmonic-fluid approach to low-energy properties of one-dimensional quantum fluids, Phys. Rev. Lett., Volume 47 (1981), p. 1840

[68] H.J. Schulz Phys. Rev. Lett., 64 (1990), p. 2831

[69] J.-S. Caux; P. Calabrese; N.A. Slavnov One-particle dynamical correlations in the one-dimensional Bose gas, J. Stat. Mech. Theory Exp., Volume 2007 (2007)

[70] A. Imambekov; L.I. Glazman Universal theory of nonlinear Luttinger liquids, Science, Volume 323 (2009), p. 228

[71] A. Imambekov; T.L. Schmidt; L.I. Glazman One-dimensional quantum liquids: beyond the Luttinger liquid paradigm, Rev. Mod. Phys., Volume 84 (2012), pp. 1253-1306 | DOI

[72] O.M. Auslaender; H. Steinberg; A. Yacoby; Y. Tserkovnyak; B.I. Halperin; K.W. Baldwin; L.N. Pfeiffer; K.W. West Spin–charge separation and localization in one dimension, Science, Volume 308 (2005), p. 88

[73] M. Zvonarev; V.V. Cheianov; T. Giamarchi Phys. Rev. Lett., 99 (2007)

[74] V.V. Cheianov; M.B. Zvonarev Phys. Rev. Lett., 92 (2004)

[75] G.A. Fiete; L. Balents Green's function for magnetically incoherent interacting electrons in one dimension, Phys. Rev. Lett., Volume 93 (2004)

[76] G.A. Fiete The spin-incoherent Luttinger liquid, Rev. Mod. Phys., Volume 79 (2007), p. 801

Cité par Sources :

Commentaires - Politique

Ces articles pourraient vous intéresser

Quasi one-dimensional organic conductors: from Fröhlich conductivity and Peierls insulating state to magnetically-mediated superconductivity, a retrospective

Denis Jerome; Claude Bourbonnais

C. R. Phys (2024)

Nuclear magnetic resonance in high magnetic field: Application to condensed matter physics

Claude Berthier; Mladen Horvatić; Marc-Henri Julien; ...

C. R. Phys (2017)

Driven dissipative dynamics and topology of quantum impurity systems

Karyn Le Hur; Loïc Henriet; Loïc Herviou; ...

C. R. Phys (2018)