LETTER TO THE EDITOR: Quasiparticle lifetimes in the charged Bose gas and the cuprates

The scattering cross-section of a Coulomb potential screened by a charged Bose gas is calculated both above and below the Bose-Einstein condensation temperature, using the variable-phase method. In contrast with the case for the Bardeen-Cooper-Schrieffer superconductor, the screened scattering potential and quasiparticle lifetime are found to be very different in the superconducting and normal states. We apply the result to explain the appearance of a sharp peak in the angle-resolved photoemission spectra in some cuprates below the superconducting transition.

[1]  U. Bristol,et al.  c-axis negative magnetoresistance and upper critical field of Bi2Sr2CaCu2O8 , 2000, cond-mat/0006089.

[2]  Russia.,et al.  Gap and subgap tunnelling in cuprates , 2000, cond-mat/0005315.

[3]  Muller,et al.  Large isotope effect on the pseudogap in the high-temperature superconductor HoBa2Cu4O8 , 2000, Physical review letters.

[4]  M. Itoh,et al.  HYDROSTATIC-PRESSURE-INDUCED MAGNETIC STRUCTURE TRANSFORMATION IN POLYCRYSTALLINE LA0.5CA0.5MNO3-DELTA (DELTA 0.01) , 1999 .

[5]  D. Mihailovic,et al.  Distinct charge and spin gaps in underdoped YBa 2 Cu 3 O 7-δ from analysis of NMR, neutron scattering, tunneling, and quasiparticle relaxation experiments , 1999 .

[6]  M. Portnoi,et al.  Ionization degree of the electron-hole plasma in semiconductor quantum wells , 1999, cond-mat/9906100.

[7]  A. Alexandrov,et al.  Angle-resolved photoemission in doped charge-transfer Mott insulators , 1999, cond-mat/9905185.

[8]  Norman,et al.  Quasiparticles in the superconducting state of Bi(2)Sr(2)CaCu(2)O(8+delta) , 1999, Physical review letters.

[9]  Peter D. Johnson,et al.  Temperature Dependent Photoemission Studies of Optimally Doped Bi 2 Sr 2 CaCu 2 O 8 , 1999 .

[10]  V. Kabanov,et al.  Parameter-free expression for superconducting Tc in cuprates: BEC vs Kosterlitz-Thouless transition , 1999, cond-mat/9903071.

[11]  A. Alexandrov.  d-wave Bose–Einstein condensate and tunnelling in superconducting cuprates , 1998 .

[12]  A. Alexandrov.  Comment on "Experimental and Theoretical Constraints of Bipolaronic Superconductivity in High Tc Materials: An Impossibility" , 1998, cond-mat/9807185.

[13]  H. Keller,et al.  LETTER TO THE EDITOR: The ratio of small polarons to free carriers in ? derived from susceptibility measurements , 1998 .

[14]  E. Kopnin,et al.  Doping Dependence of Superconducting Parameters in HgBa2CuO4+δ Single Crystals , 1998 .

[15]  J. P. Franck,et al.  Doping dependence of the critical field Hc2 and the transition temperature in Zn doped YBa2(Cu1−xZnx)3O7−δ , 1997 .

[16]  Alexandrov,et al.  Resistive upper critical field of high-Tc single crystals of Bi2Sr2CaCu2O8. , 1996, Physical review letters.

[17]  Alexandrov,et al.  Collective excitations and screening properties of a condensed charged Bose gas. , 1995, Physical review. B, Condensed matter.

[18]  N. Mott,et al.  High Temperature Superconductors And Other Superfluids , 1994 .

[19]  Wolf,et al.  Anomalous temperature dependence of the upper critical magnetic field in Bi-Sr-Cu-O. , 1993, Physical review letters.

[20]  Stocks,et al.  Pairing, condensation, and superconductivity described by a Hubbard model with an attractive interaction. , 1991, Physical review. B, Condensed matter.

[21]  N. E. Frankel,et al.  Dielectric response of the charged Bose gas in the random-phase approximation , 1975 .

[22]  T. A. Green,et al.  Variable Phase Approach to Potential Scattering , 1968 .

[23]  E. M. Lifshitz,et al.  Quantum mechanics: Non-relativistic theory, , 1959 .

[24]  A. Alexandrov,et al.  CONTRASTING EFFECTS OF MAGNETIC FIELD ON THERMODYNAMIC AND RESISTIVE TRANSITIONS IN HIGH-TC CUPRATES , 1997 .

[25]  H. Keller,et al.  Evidence for polaronic supercarriers in the copper oxide superconductors La2–xSrxCuO4 , 1997, Nature.

[26]  S. Wolf,et al.  Erratum: "Anomalous temperature dependence of the upper critical magnetic field in Bi-Sr-Cu-O" (Physical Review Letters (1993) 71, (2315)) , 1994 .