Quantum oscillations and key theoretical issues in high temperature superconductors from the perspective of density waves

Reports on Progress in Physics

Volumn 74, Issue 2, 2011, Pages

  Chakravarty, Sudip ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79951633286     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/74/2/022501     Document Type: Article

References (67)

1. c (Pubitemid 46868048)
2. 6.5 Phys. Rev. Lett. 100 187005
3. c superconductors Nature 450 533-6 (Pubitemid 350190251)
4. c superconductor Nature 454 200-3 (Pubitemid 351973077)
5. 8 Phys. Rev. Lett. 100 047003
6. c superconductor Phys. Rev. Lett. 103 256405
7. 6.5 Phys. Rev. Lett. 103 157003
8. c superconductor Nature 455 952-5
9. 8 Phys. Rev. Lett. 100 047004
10. 6.69 in fields of up to 85T; patching the hole in the roof of the superconducting dome Phys. Rev. Lett. 104 086403
11. 8 Phys. Rev. B 82 020514 (R)
12. 4 revealed by Shubnikov-de Haas oscillations Phys. Rev. Lett. 103 157002
13. Chakravarty S 2008 Physics-from complexity to simplicity Science 319 735-6
14. c Cuprates (Princeton, NJ: Princeton University Press)
15. Kopp A, Ghosal A and Chakravarty S 2007 Competing ferromagnetism in high-temperature copper oxide superconductors Procs. Natl Acad. Sci. USA 104 6123-7 (Pubitemid 47186059)
16. Damascelli A, Hussain Z and Shen Z-X 2003 Angle-resolved photoemission studies of the cuprate superconductors Rev. Mod. Phys. 75 473
17. Norman M R et al 1998 Destruction of the Fermi surface underdoped high-Tc superconductors Nature 392 157-60 (Pubitemid 28162782)
18. Gunnarsson O 1997 Superconductivity in fullerides Rev. Mod. Phys. 69 575
19. Chakravarty S, Gelfand M P and Kivelson S 1991 Electronic correlation effects and superconductivity in doped fullerenes Science 254 970-4 (Pubitemid 21917419)
20. 60 emerges from an antiferromagnetic insulator parent state Science 323 1585-90
21. Nguyen H K and Chakravarty S 2002 Effects of magnetic field on the d-density-wave order in the cuprates Phys. Rev. B 65 180519
22. Eun J, Jia X and Chakravarty S 2010 Quantum oscillations in electron-doped high temperature superconductors Phys. Rev. B 82 094515
23. Li L, Wang Y, Naughton M J, Komiya S, Ono S, Ando Y and Ong N P 2007 Magnetization, Nernst effect and vorticity in the cuprates J. Magn. Magn. Mater. 310 460-6
24. Chakravarty S and Kee H-Y 2008 Fermi pockets and quantum oscillations of the Hall coefficient in high-temperature superconductors Proc. Natl Acad. Sci. USA 105 8835-9
25. Millis A J and Norman M R 2007 Antiphase stripe order as the origin of electron pockets observed in 1/8-hole-doped cuprates Phys. Rev. B 76 220503
26. 6.59 shows free spin behaviour of quasiparticles arXiv:1004.0260
27. Garcia-Aldea D and Chakravarty S 2010 Singlet versus triplet particle-hole condensates in quantum oscillations in cuprates arXiv:1008.2030
28. Kivelson S A, Bindloss I P, Fradkin E, Oganesyan V, Tranquada J M, Kapitulnik A and Howald C 2003 How to detect fluctuating stripes in the high-temperature superconductors Rev. Mod. Phys. 75 1201-41 (Pubitemid 38037750)
29. Sachdev S 2003 Colloquium: Order and quantum phase transitions in the cuprate superconductors Rev. Mod. Phys. 75 913-32 (Pubitemid 37244519)
30. Nayak C 2000 Density-wave states of nonzero angular momentum Phys. Rev. B 62 4880-9
31. Chakravarty S, Laughlin R B, Morr D K and Nayak C 2001 Hidden order in the cuprates Phys. Rev. B 63 094503
32. Chakravarty S 2002 Theory of the d-density wave from a vertex model and its implications Phys. Rev. B 66 224505
33. Ghosal A and Kee H-Y 2004 Spatial variation of d-density wave order in the presence of impurities Phys. Rev. B 69 224513
34. Galitskii V M and Migdal A B 1958 Application of quantum field theory methods to the many body problem Sov. Phys. JETP 7 96-104
35. Wilson K G 1983 The renormalization group and critical phenomena Rev. Mod. Phys. 55 583
36. Yin L and Chakravarty S 1996 Spectral anomaly and high temperature superconductors Int. J. Mod. Phys. B 10 805-45 (Pubitemid 126466789)
37. Mattis D C and Lieb E H 1965 Exact solution of a many-fermion system and its associated boson field J. Math. Phys. 6 304
38. Nayak C and Wilczek F 1994 Renormalization-group approach to low-temperature properties of a non-Fermi liquid-metal Nucl. Phys. B 430 534-62 (Pubitemid 124003229)
39. Nayak C and Wilczek F 1994 Non-Fermi liquid fixed-point in (2 + 1) dimensions Nucl. Phys. B 417 359-73
40. Polchinski J 1992 Effective field theory and the Fermi surface Recent Directions in Particle Theory ed J Harvey and J Polchinski Tasi (Singapore: World Scientific)
41. Shankar R 1994 Renormalization-group approach to interacting fermions Rev. Mod. Phys. 66 129 (Pubitemid 24777948)
42. Kohn W 1961 Cyclotron resonance and de Haas-van Alphen oscillations of an interacting electron gas Phys. Rev. 123 1242
43. Luttinger J M 1960 Fermi surface and some simple equilibrium properties of a system of interacting fermions Phys. Rev. 119 1153
44. Koulakov A A, Fogler M M and Shklovskii B I 1996 Charge density wave in two-dimensional electron liquid in weak magnetic field Phys. Rev. Lett. 76 499
45. Gell-Mann M and Low F 1951 Bound states in quantum field theory Phys. Rev. 84 350
46. Luttinger J M 1961 Theory of the de Haas-van Alphen effect for a system of interacting fermions Phys. Rev. 121 1251
47. Abrikosov A A 1988 Fundamentals of the Theory of metals (New York: Elsevier)
48. Wasserman A, Springford M and Han F 1991 The de Haas-van Alphen effect in a marginal fermi-liquid J. Phys.: Condens. Matter 3 5335-9
49. Pelzer F 1991 Amplitude of the de Haas-van Alphen oscillations for a marginal Fermi liquid Phys. Rev. B 44 293
50. McCollam A, Xia J S, Flouquet J, Aoki D and Julian S R 2008 De Haas van Alphen effect in heavy fermion compounds-effective mass and non-Fermi-liquid behaviour Physica B 403 717-20 (Pubitemid 351312437)
51. Ando T 1974 Theory of quantum transport in a 2-dimensional electron system under magnetic fields (IV). Oscillatory conductivity J. Phys. Soc. Japan 37 1233-7
52. Goswami P, Jia X and Chakravarty S 2008 Quantum oscillations in graphene in the presence of disorder and interactions Phys. Rev. B 78 245406
53. Leadley D R, Nicholas R J, Foxon C T and Harris J J 1994 Measurements of the effective mass and scattering times of composite fermions from magnetotransport analysis Phys. Rev. Lett. 72 1906
54. Du R R, Stormer H L, Tsui D C, Pfeiffer L N and West K W 1994 Shubnikov-de Haas oscillations around? = 1/2 landau-level filling factor Solid State Commun. 90 71-5
55. Jain J K 2007 Composite Fermions (Cambridge: Cambridge University Press)
56. Halperin B I, Lee P A and Read N 1993 Theory of the half-filled landau level Phys. Rev. B 47 7312-43
57. Holstein T, Norton R E and Pincus P 1973 de Haas-van Alphen effect and the specific heat of an electron gas Phys. Rev. B 8 2649
58. Wen X-G 2004 Quantum Field Theory of Many-Body Systems (Oxford: Oxford University Press)
59. Altshuler B L, Ioffe L B and Millis A J 1994 Low-energy properties of fermions with singular interactions Phys. Rev. B 50 14048
60. Chakravarty S, Norton R E and Syljuasen O F 1995 Transverse gauge interactions and the vanquished fermi-liquid Phys. Rev. Lett. 74 1423-6
61. Altshuler B L, Chubukov A V, Dashevskii A, Finkel'stein A M and Morr D K 1998 Luttinger theorem for a spin-density-wave state Europhys. Lett. 41 401-6
62. Chakravarty S, Nayak C and Tewari S 2003 Angle-resolved photoemission spectra in the cuprates from the d-density wave theory Phys. Rev. B 68 100504
63. Armitage N P, Fournier P and Green R L 2009 Progress and perspectives on the electron-doped cuprates Rev. Mod. Phys. 82 2421
64. Hossain M A et al 2008 In situ doping control of the surface of high-temperature superconductors Nature Phys. 4 527-31
65. c superconductors Phys. Rev. B 80 134503
66. c copper oxide superconductor Nature 462 335
67. 8: an NMR study Phys. Rev. B 60 R9947