COOPER PAIRING IN A SOLUBLE ONE-DIMENSIONAL MANY-FERMION MODEL

被引:13
作者
CASAS, M
ESEBBAG, C
EXTREMERA, A
GETINO, JM
DELLANO, M
PLASTINO, A
RUBIO, H
机构
[1] UNIV AUTONOMA MADRID, DEPT FIS TEOR, E-28049 MADRID, SPAIN
[2] UNIV GRANADA, DEPT FIS MODERNA, E-18071 GRANADA, SPAIN
[3] UNIV OVIEDO, DEPT FIS, E-33007 OVIEDO, SPAIN
[4] N DAKOTA STATE UNIV, DEPT PHYS, FARGO, ND 58105 USA
[5] NATL UNIV LA PLATA, DEPT FIS, RA-1900 LA PLATA, ARGENTINA
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 08期
关键词
D O I
10.1103/PhysRevA.44.4915
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The dynamical similarities between the three-dimensional (3D) electron fluid "jellium" model and the exactly soluble 1D fermion fluid with attractive delta-function pairwise potentials motivates solving the Cooper-pair problem in this model for all couplings and/or densities. This is accomplished exactly in graphical form. For weak coupling, the essential singularity characteristic of standard 3D low-temperature superconductivity reemerges, and for infinite coupling, BCS theory reproduces the exact ground-state system energy.
引用
收藏
页码:4915 / 4922
页数:8
相关论文
共 29 条
[1]   FERMION CLUSTERING IN A SOLUBLE ONE-DIMENSIONAL MANY-BODY SYSTEM [J].
AGUILERANAVARRO, VC ;
LEYKOO, E ;
DELLANO, M ;
PELTIER, SM ;
PLASTINO, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (12) :2439-2444
[2]   Metal theory [J].
Bethe, H. .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226
[3]   COMPARISON BETWEEN EXACT AND HARTREE SOLUTIONS OF A ONE-DIMENSIONAL MANY-BODY PROBLEM [J].
CALOGERO, F ;
DEGASPERIS, A .
PHYSICAL REVIEW A, 1975, 11 (01) :265-269
[4]   BOUND ELECTRON PAIRS IN A DEGENERATE FERMI GAS [J].
COOPER, LN .
PHYSICAL REVIEW, 1956, 104 (04) :1189-1190
[5]   ASYMPTOTIC EXPANSION (WKB) OF AN OPERATOR MEAN-VALUE [J].
DAGENS, L .
JOURNAL DE PHYSIQUE, 1969, 30 (8-9) :593-&
[6]   NUCLEAR-MATTER THEORY REVISITED [J].
DELLANO, M .
NUCLEAR PHYSICS A, 1979, 317 (01) :183-198
[7]  
ESEBBAG C, UNPUB
[8]  
Fetter A. L., 1971, QUANTUM THEORY MANY, P21
[9]   UN SYSTEME A UNE DIMENSION DE FERMIONS EN INTERACTION [J].
GAUDIN, M .
PHYSICS LETTERS A, 1967, A 24 (01) :55-&
[10]   SOLVABLE MODEL FOR ONE-DIMENSIONAL NUCLEAR-MATTER - SIMULTANEOUS EIGENSTATES OF SPIN, ISOSPIN, AND ENERGY [J].
KEBUKAWA, T .
PHYSICAL REVIEW C, 1987, 35 (02) :794-798