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2024年10月30日
Chinese Physics C> 2007, Vol. 31> Issue(2) : 209-218 

Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED3

  •  Department of Physics, Peking University, Beijing 100871, China2 The MOE Key Laboratory of Heavy Ion Physics, Peking University, Beijing 100871, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000, China

  • With the coupled Dyson-Schwinger equations in the framework of the unified QED3 theory, we study the phase transition between the antiferromagnet(AF) and the d-wave superconductor (dSC) of planar cuprates at T=0. By solving the coupled Dyson-Schwinger equations both analytically and numerically in rainbow approximation in Landau gauge and comparing the obtained results with that given in the 1/N expansion, we find that there exists a chiral symmetry breaking from dSC phase to AF phase when the quasi-fermion flavors N≤4 in half-filling and the AF phase can possibly coexist with the dSC phase in the underdoped region. By comparing the pressure between the coexistent AF-dSC phase and dSC phase, we find that AF-dSC coexisting phase is the stable phase, the AF phase can then coexist with the dSC phase.
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    [1] . Anderson P W. The Theory of Superconductivity in the High-Tc Cuprates. Princeton: Princeton University Press,19972. ZHANG S C. Science, 1997, 275: 10893. Lee P A, Nagaosa N, Ng T K et al. Phys. Rev., 1998, B57:60034. Emery V J, Kivelson S A. Nature, 1995, 374: 4345. Corson J et al. Nature, 1999, 398: 2216. XU Z A et al. Nature, 2000, 406: 486; WANG Y et al.Phys. Rev. Lett., 2002, 88: 2570037. Franz M, Tešanovié Z, Vafek O. Phys. Rev., 2002, B66:0545358. Franz M, Tešanovié Z. Phys. Rev. Lett., 2001, 87: 2570039. Herbut I F. Phys. Rev. Lett., 2002, 88: 047006; Phys. Rev.,2002, B66: 09450410. Tešanovié Z, Vafek O, Franz M. Phys. Rev., 2002, B65:180511(R)11. Seradjeh B H, Herbut I F. cond-mat/020722112. Lake B et al. Science, 2001, 291: 175913. Lake B et al. Nature(London), 2002, 415: 29914. Miller R I et al. Phys. Rev. Lett., 2002, 88: 13700215. Hoffman J E et al. Science, 2002, 295: 46616. Franz M, Sheehy D E, Tešanovié Z. Phys. Rev. Lett., 2002,88: 25700517. Pereg-Barnea T, Franz M. Phys. Rev., 2003, B67:060503(R)18. Miller R I et al. Phys. Rev. Lett., 2002, 88: 13700219. Hoffman J E et al. Science, 2002, 295: 46620. Roberts C D, Williams A G. Prog. Part. Nucl. Phys., 1994,33: 47721. Alkofer R, von Smekal L. Phys. Rept., 2001, 353: 28122. Maris P, Roberts C D. Int. J. Mod. Phys., 2003, E12: 29723. Roberts C D, Schmidt S M. Prog. Part. Nucl. Phys., 2000,45: S124. Pisarski R D. Phys. Rev., 1984, D29: 242325. Appelquist T, Bowick M, Cohler E et al. Phys. Rev. Lett.,1985, 55: 171526. Appelquist T, Nash D, Wijewardhana L C R. Phys. Rev.Lett., 1988, 60: 257527. Maris P. Phys. Rev., 1996, D54: 404928. Appelquist T, Bowick M, Karabali D et al. Phys. Rev.,1986, D33: 370429. Appelquist T, Wijewardhana L C R. hep-ph/040325030. Nash D. Phys. Rev. Lett., 1989, 62: 302431. Atkinson D, Johnson P W, Maris P. Phys. Rev., 1990, D42:60232. Penninton M R, Walsh D. Phys. Lett., 1991, B253: 246;Curtis D C, Pennington M R, Walsh D. Phys. Lett., 1992,B295: 31333. Fischer C S, Alkofer R, Dahm T et al. Phys. Rev., 2004,D70: 07300734. Appelquist T, Heinz U. Phys. Rev., 1981, D24: 216935. Roberts C D, Chastits F E. Phys. Part. Nucl., 1999, 30:22336. Haymaker R W. Riv. Nuovo Cim., 1991, 14: 137. Blaschke D, Roberts C D, Schmidt S M. Phys. Lett., 1998,B425: 23238. Cornwall J M, Jackiw R, Tomboulis E. Phys. Rev., 1974,D10: 2428

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LIANG Xiao-Feng, CHEN Huan, CHANG Lei and LIU Yu-Xin. Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED3[J]. Chinese Physics C, 2007, 31(2): 209-218.
LIANG Xiao-Feng, CHEN Huan, CHANG Lei and LIU Yu-Xin. Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED3[J]. Chinese Physics C, 2007, 31(2): 209-218. shu
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Received: 2006-06-06
Revised: 2006-06-22
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Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED3

    Corresponding author: LIU Yu-Xin,
  • Department of Physics, Peking University, Beijing 100871, China2 The MOE Key Laboratory of Heavy Ion Physics, Peking University, Beijing 100871, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000, China
  • Received Date: 2006-06-06
  • Accepted Date: 2006-06-22
  • Available Online: 2007-02-05

Abstract: With the coupled Dyson-Schwinger equations in the framework of the unified QED3 theory, we study the phase transition between the antiferromagnet(AF) and the d-wave superconductor (dSC) of planar cuprates at T=0. By solving the coupled Dyson-Schwinger equations both analytically and numerically in rainbow approximation in Landau gauge and comparing the obtained results with that given in the 1/N expansion, we find that there exists a chiral symmetry breaking from dSC phase to AF phase when the quasi-fermion flavors N≤4 in half-filling and the AF phase can possibly coexist with the dSC phase in the underdoped region. By comparing the pressure between the coexistent AF-dSC phase and dSC phase, we find that AF-dSC coexisting phase is the stable phase, the AF phase can then coexist with the dSC phase.

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