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Many Body Physics: Unfinished Revolution

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International Conference on Theoretical Physics

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Abstract

The study of many body physics has provided a scientific playground of surprise and continuing revolution over the past half century. The serendipitous discovery of new states and properties of matter,phenomena such as superfluidity,the Meissner,the Kondo and the fractional quantum hall effect,have driven the development of new conceptual frameworks for our understanding about collective behavior,the ramifications of which have spread far beyond the confines of terrestrial condensed matter physics — to cosmology,nuclear and particle physics. Here I shall selectively review some of the developments in this field,from the cold-war period,until the present day. I describe how,with the discovery of new classes of collective order,the unfolding puzzles of high temperature superconductivity and quantum criticality,the prospects for major conceptual discoveries remain as bright today as they were more than half a century ago.

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References

  1. S. Weinberg,“Dreams of a Final Theory”,Random House (1972).

    Google Scholar 

  2. W. Pauli,1926a Letter to Schrödinger,22 November (1926). See A. Hermann,K. von Meyenn and V. F. Weisskopf,Eds,“Wolfgang Pauli. Scientific Cor-respondence with Bohr,Einstein,Heisenberg and others vol. 1 1919–1929.(Spring 1979).

    Google Scholar 

  3. L. Hoddeson,G. Baym and M. Eckert,“The Development of the quantum-mechanical electron theory of metals: 1928–1933”Rev Mod. Phys. 59287–327 (1987).

    Article  ADS  Google Scholar 

  4. L. NéelAnn. Phys. (Paris) 171932 (1933); L. LandauPhys. Z. Sowjet 4675 (1933);

    Google Scholar 

  5. C. Schult,W. A Strauser and E. O. WollanPhys. Rev. B 83333 (1951).

    Article  ADS  Google Scholar 

  6. J. PomeranchukZh. Eksp. Teor. Fiz.226 (1940).

    Google Scholar 

  7. W. Meissner and R. OchsenfeldNaturwissenschaften 21787 (1933).

    Article  ADS  Google Scholar 

  8. F. London and H. London,“The Electromagnetic Equations of the Supraconductor,”Proc. R. Soc London Ser A152,24 (1935).

    Google Scholar 

  9. V. L. Ginzburg and L. D. LondonZh. Eksp. Teor. Fiz. 201064 (1950).

    Google Scholar 

  10. de Haas,de Boer and D.J. van der BergPhysica 11115 (1933); D.K.C. MacDonald,and K. MendelssohnProc. Roy. Soc. (London) A202523 (1950); D.K.C. MacDonaldPhys. Rev. 88148–149 (1952); M. Sarachik,E. Corenzwit and L.D. LonginottiPhys. Rev. 135A 1041 (1964).

    Google Scholar 

  11. For a general set of references on these developments,see D. Pines,The Many Body Problem,(Addison Wesley,1961).

    Google Scholar 

  12. D. Bohm and D. Pines,A Collective Description of Electron Interactions: III. Coulomb Interactions in a Degenerate Electron GasPhys. Rev. 92609–625 (1953).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. K. Brueckner,Many-Body Problem for Strongly Interacting Particles.II. Linked Cluster ExpansionPhys. Rev. 10036–45 (1955).

    Article  ADS  MATH  Google Scholar 

  14. J. Goldstone,Derivation of Brueckner Many-Body TheoryProc. Roy. Soc. A239267 279 (1957).

    MathSciNet  Google Scholar 

  15. J. Hubbard,The Description of Collective Motions in Terms of Many Body Perturbation Theory,Proc. Roy. Soc.A240539–560 (1957); ibidA243336352 (1957).

    Google Scholar 

  16. M. Gell-Mann and K. A. Brueckner,Correlation Energy of an Electron Gas at High DensityPhys. Rev. 106364–368 (1957); ibidPhys. Rev. 106369–372 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. V. Galitskii and A. Migdal,Application of Quantum Field Theory Methods to the Many Body ProblemSoy. Phys. JETP 34139–150 (1958).

    MathSciNet  Google Scholar 

  18. V. Galitskii,The energy spectrum of a non-ideal Fermi gasSoy. Phys. JETP 34151–162 (1958).

    MathSciNet  Google Scholar 

  19. S. F. EdwardsPhil. Mag. 31020 (1958).

    Article  ADS  MATH  Google Scholar 

  20. T. MatsubaraProg. Theo. Phys. 14351 (1955).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. A.A. Abrikosov,L.P. Gorkov and I.E. DzyaloshinskiiJETP 36900 (1959)(Soy. Phys. 9636).

    Google Scholar 

  22. L.D. Landau,The theory of a Fermi liquid.Soy. Phys. JETP 3920–925 (1957).

    MATH  Google Scholar 

  23. L.D. Landau,On the Theory of Phase Transitions IPhys. Z. Soviet 1126 (1937); L.D. Landau,On the Theory of Phase Transitions IIPhys. Z. Soviet 545(1937). The English Translations of Landau’s papers can be found in “Collected Papers of L. D. Landau”,by D. Ter Haar,Gordon and Breach,New York,1965.

    Google Scholar 

  24. O. PenrosePhilos. Mag. 421373 (1951); C.N. YangRev. Mod. Phys. 34694 (1962).

    Article  Google Scholar 

  25. J. Bardeen,L.N. Cooper,and J.R. Schrieffer,Theory of SuperconductivityPhys. Rev. 1081175–1204 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. L. P. Gorkov,On the Energy Spectrum of SuperconductorsSoy. Phys. JETP 7505–508 (1958).

    Google Scholar 

  27. P. W. Anderson,Random Phase Approximation in the Theory of SuperconductivityPhys. Rev. 1121900–1916 (1958).

    Article  MathSciNet  ADS  Google Scholar 

  28. P. W. Anderson,Phys. Rev. 130439 (1963).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. P.W. Anderson,“Uses of Solid-State Analogies in Elementary Particle Theory”,Proc. Conf. on Gauge Theories and Modern Field Theory,ed. R. Arnowitt and P. Nath,(MIT Press,1976),p 331; reproduced in P.W. Anderson,A Career in Theoretical Physics,p 363–381,World Scientific (Singapore),1994.

    Google Scholar 

  30. P.W. Anderson,Basic Notions of Condensed Matter Physics,49 57,(Addison Wesley,1983).

    Google Scholar 

  31. E.A. Guggenheim,J. Chem. Phys. 13253 (1945).

    Google Scholar 

  32. A. Voronel et alSoy. Phys. JETP 18568 (1964).

    Google Scholar 

  33. L. OnsagerPhys. Rev. 56119 (1945).

    Google Scholar 

  34. B. Widom,J. Chem. Phys. 433898 (1965).

    Google Scholar 

  35. L.P. KadanoffPhysics 2263 (1966).

    Google Scholar 

  36. A.Z. Patashinskii and V.L. PokrovskiiSov. Phys. JEPT 23292 (1966).

    ADS  Google Scholar 

  37. A.A. MigdalZh. Eksp. Teor. Fiz. 69810–822 (1975).

    Google Scholar 

  38. L.P. Kadanoff,Phase transitions and critical phenomena vol.5a. Academic Press. 1976,pp.2–34. (London).

    Google Scholar 

  39. M.E. Fisher,Rev. Mod. Phys. 46597 (1974).

    Article  ADS  Google Scholar 

  40. K.G. Wilson,Rev. Mod. Phys. 47773 (1975).

    Article  ADS  Google Scholar 

  41. J. Kondo,Prog. Theo. Phys.3237 (1964);ibid 28772 (1962).

    Article  Google Scholar 

  42. P.W. Anderson,G. Yuyal and D.R. HamannPhys. Rev. Bl4464 (1970); see also A.C. HewsonThe Kondo Problem to Heavy Fermions(Cambridge: Cambridge University Press) (1995).

    Google Scholar 

  43. P. NozièresJournal de Physique C37C1–271,1976; P. Nozières and A. BlandinJournal de Physique 41193 (1980).

    Article  Google Scholar 

  44. P.W. Anderson,“More is Different”Science 177393,(1972).

    Article  ADS  Google Scholar 

  45. W. McMillanPhysical Review 167331 (1967).

    Article  ADS  Google Scholar 

  46. E. Bucher et alPhys. Rev. B 11440 (1975).

    Article  ADS  Google Scholar 

  47. L. LandauZ. Phys. 64629 (1930).

    Article  ADS  MATH  Google Scholar 

  48. R.B. Laughlin,Phys. Rev. Lett. 501395–8 (1983)

    Article  ADS  Google Scholar 

  49. J.K. JainScience 2661199 (1994). For more more details,“Perspectives in Quantum Hall Effects” edited by S. Das Sarnia and A. Pinczuk (Wiley,New York,1997); “Comoposite Fermions” edited by 011e Heinonen (World Scientific,New York,1997).

    Google Scholar 

  50. Ganpathy Murthy and R. Shankar,“Hamiltonian Theories of the FQHE”,cond-mat/0205326,submitted toReviews of Modern Physcs.

    Google Scholar 

  51. K. Andres,J. Graebner and H.R. Ott.Phys. Rev. Lett. 351779,(1975).

    Article  ADS  Google Scholar 

  52. F. Steglich,J. Aarts. C.D. Bredl,W. Leike,D.E. Meshida,W. Franz and H. SchäferPhys. Rev. Lett. 431892 (1976).

    Article  ADS  Google Scholar 

  53. See for example A.C. HewsonThe Kondo Problem to Heavy Fermions(Cambridge: Cambridge University Press),also D. Cox and M.B. Maple “Electronic Pairing in Exotic Superconductors”Physics Today 482,32 (1995).

    Article  Google Scholar 

  54. S. DoniachPhysica B91231 (1977).

    Google Scholar 

  55. E. WittenNucl. Phys. B 145110 (1978).

    Article  ADS  Google Scholar 

  56. N. Read and D.M. NewnsJ. Phys. C 163274 (1983).

    Article  ADS  Google Scholar 

  57. P. ColemanPhys. Rev. B 293035 (1984).

    Article  ADS  Google Scholar 

  58. A. Auerbach and K. LevinPhys. Rev. Lett. 57877 (1986).

    Article  ADS  Google Scholar 

  59. P.W. AndersonScience 2351196 (1987).

    Article  ADS  Google Scholar 

  60. S.C. ZhangScience 2751089 (1997).

    Article  MathSciNet  MATH  Google Scholar 

  61. C.M. Varma,P.B. Littlewood,S. Schmitt-Rink,E. Abrahams and A.E. RuckensteinPhys. Rev. Lett. 301996 (1989).

    Article  ADS  Google Scholar 

  62. V.J. Emery and S.A. Kivelson,Nature374434–7 (1995).

    Article  ADS  Google Scholar 

  63. C.M. Varma,Phys. Rev. Lett. 833538 (1999).

    Article  ADS  Google Scholar 

  64. S. Chakravarty,R.B. Laughlin,D.K. Morr and C. NayakPhys. Rev. B 631–10(2001).

    Article  Google Scholar 

  65. ]S. Kivelson et al,cond-mat/0210683 submitted toRev. Mod. Phys.

    Google Scholar 

  66. D. Obertelli,J.R. Cooper and J.L. TalionPhys. Rev. B4614928 (1992).

    ADS  Google Scholar 

  67. T. Senthil and M.P.A. FisherJ. Phys. A 34L119–125 (2001).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  68. Xiao-Gang Wen and Patrick A.Lee,Phys. Rev. Lett. 76503–506 (1996).

    Article  ADS  Google Scholar 

  69. P. Coleman,C. Pepin and J. HopkinsonPhys. Rev. B 63140–411R (2001).

    Article  Google Scholar 

  70. J. Hertz,Phys. Rev. B14(1976) 1165.

    Article  ADS  Google Scholar 

  71. S. Sachdev,“Quantum Phase Transitions”,(Cambridge University Press,1999).

    Google Scholar 

  72. M.A. Continentino,“Quantum Scaling in Many-Body Systems”,World Scientific (2001).

    Google Scholar 

  73. T. Moriya and J. KawabataJ. Phys. Soc. Japan 34639 (1973);J. Phys. Soc. Japan 35669 (1973).

    Article  ADS  Google Scholar 

  74. A.J. MillisPhys. Rev. B 487183 (1993).

    Article  ADS  Google Scholar 

  75. C.M. Varma,Z. Nussinov and W. van Saarlos,“Singular Fermi Liquids”Phys. Rep. 361267--417 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  76. P. Coleman,C. Pépin,Qimiao Si and Revaz RamazashviliJ. Phys. Cond. Matt. 13273 (2001).

    Article  Google Scholar 

  77. G. Chapline and R.B. Laughlin,in “Artificial Black Holes” 179–98,(World Scientific) (2002).

    Google Scholar 

  78. J.L. Cardy,“Operator Content of Two-Dimensionally Conformally Invariant Theories”Nucl. Phys. B270186–204 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  79. A. Strominger and C. Vafa,“Microscopic Origin of the Bekenstein-Hawking Entropy”Phys. Lett. B37999–104 (1996).

    MathSciNet  ADS  Google Scholar 

  80. G.E. MooreElectronics 38114–117 (1965).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Center for Materials Theory, Rutgers University, Piscataway, NJ, 08855, USA

    Piers Coleman

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  1. Piers Coleman
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Editors and Affiliations

  1. Orme des Merisiers, Service de Physique Théorique CEA / Saclay, Gif-sur-Yvette Cedex, 91191, France

    Daniel Iagolnitzer  & Jean Zinn-Justin  & 

  2. Laboratoire de Physique Théorique, Université Paris XI, Orsay Cedex, 91405, France

    Vincent Rivasseau

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© 2003 Springer Basel AG

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Coleman, P. (2003). Many Body Physics: Unfinished Revolution. In: Iagolnitzer, D., Rivasseau, V., Zinn-Justin, J. (eds) International Conference on Theoretical Physics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7907-1_43

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  • DOI: https://doi.org/10.1007/978-3-0348-7907-1_43

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9618-4

  • Online ISBN: 978-3-0348-7907-1

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