Zero temperature correlation functions for the impenetrable fermion gas

被引:54
作者
Cheianov, VV
Zvonarev, MB
机构
[1] NORDITA, DK-2100 Copenhagen O, Denmark
[2] Niels Bohr Inst, APG, Orsted Lab, DK-2100 Copenhagen, Denmark
[3] VA Steklov Math Inst, Petersburg Dept, St Petersburg 191023, Russia
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 06期
关键词
D O I
10.1088/0305-4470/37/6/021
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1 + 1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the limit T --> 0 is taken at a positive chemical potential. The asymptotic expressions are found from the, asymptotic solution of the matrix Riemann-Hilbert problem related to the determinant representation of the correlation functions.
引用
收藏
页码:2261 / 2297
页数:37
相关论文
共 12 条
[1]  
Bateman H., 1953, HIGHER TRANSCENDENTA, V1
[2]   CORRELATION-FUNCTION OF THE ONE-DIMENSIONAL FERMI GAS IN THE INFINITE-COUPLING LIMIT (REPULSIVE CASE) [J].
BERKOVICH, A ;
LOWENSTEIN, JH .
NUCLEAR PHYSICS B, 1987, 285 (01) :70-96
[3]   TEMPERATURE AND MAGNETIC FIELD-DEPENDENT CORRELATORS OF THE EXACTLY INTEGRABLE (1+1)-DIMENSIONAL GAS OF IMPENETRABLE FERMIONS [J].
BERKOVICH, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (07) :1543-1556
[4]  
CHEIANOV VV, 2003, CONDMAT0308470
[5]  
Courant R., 1953, METHODS MATH PHYS, V1
[6]  
Deift P, 1999, COMMUN PUR APPL MATH, V52, P1491, DOI 10.1002/(SICI)1097-0312(199912)52:12<1491::AID-CPA2>3.3.CO
[7]  
2-R
[8]  
DEIFT P., 1999, Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
[9]   Correlations in the impenetrable electron gas [J].
Gohmann, F ;
Its, AR ;
Korepin, VE .
PHYSICS LETTERS A, 1998, 249 (1-2) :117-125
[10]   Time and temperature dependent correlation functions of the one-dimensional impenetrable electron gas [J].
Gohmann, F ;
Izergin, AG ;
Korepin, VE ;
Pronko, AG .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1998, 12 (23) :2409-2433