Exact correlation functions of the BCS model in the canonical ensemble

被引:37
作者
Amico, L
Osterloh, A
机构
[1] Univ Catania, DMFCI, I-95125 Catania, Italy
[2] Ist Nazl Fis Mat, Unita Catania, Catania, Italy
关键词
D O I
10.1103/PhysRevLett.88.127003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We evaluate correlation functions of the BCS model for a finite number of particles. The integrability of the Hamiltonian relates it with the Gaudin algebra G[sl(2)]. Therefore, a theorem that Sklyanin proved for the Gaudin model, can be applied. Several diagonal and off-diagonal correlators are calculated. The finite-size scaling behavior of the pairing correlation function is studied.
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页数:4
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共 29 条
[11]  
IACHELLO F, 1994, NUCL PHYS A, V570, pC145, DOI 10.1016/0375-9474(94)90278-X
[12]  
Korepin V. E., 1997, QUANTUM INVERSE SCAT, V3
[13]   CALCULATION OF NORMS OF BETHE WAVE-FUNCTIONS [J].
KOREPIN, VE .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 86 (03) :391-418
[14]   Small superconducting grain in the canonical ensemble [J].
Mastellone, A ;
Falci, G ;
Fazio, R .
PHYSICAL REVIEW LETTERS, 1998, 80 (20) :4542-4545
[15]   Parity effect in ground state energies of ultrasmall superconducting grains [J].
Matveev, KA ;
Larkin, AI .
PHYSICAL REVIEW LETTERS, 1997, 78 (19) :3749-3752
[16]   Gate-voltage studies of discrete electronic states in aluminum nanoparticles [J].
Ralph, DC ;
Black, CT ;
Tinkham, M .
PHYSICAL REVIEW LETTERS, 1997, 78 (21) :4087-4090
[17]   SPECTROSCOPIC MEASUREMENTS OF DISCRETE ELECTRONIC STATES IN SINGLE METAL PARTICLES [J].
RALPH, DC ;
BLACK, CT ;
TINKHAM, M .
PHYSICAL REVIEW LETTERS, 1995, 74 (16) :3241-3244
[18]   PAIRING MODELS OF PB206 PB204 + PB202 [J].
RICHARDSON, RW ;
SHERMAN, N .
NUCLEAR PHYSICS, 1964, 52 (02) :253-&
[19]   EXACT EIGENSTATES OF PAIRING-FORCE HAMILTONIAN .2. [J].
RICHARDSON, RW .
JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (07) :1034-+
[20]   EXACT EIGENSTATES OF PAIRING-FORCE HAMILTONIAN [J].
RICHARDSON, RW ;
SHERMAN, N .
NUCLEAR PHYSICS, 1964, 52 (02) :221-&