EXACT SOLUTION FOR THE THERMODYNAMICS OF THE ONE-DIMENSIONAL HUBBARD MODEL WITH INFINITE REPULSION IN A MAGNETIC FIELD

被引:0
作者
Sidorov, K. A. [1 ,2 ]
Tikhonov, N. V. [2 ]
Ovchinnikov, S. G. [1 ,2 ]
机构
[1] RAS, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk, Russia
[2] Siberian Fed Univ, Krasnoyarsk, Russia
关键词
Hubbard model; magnetic field; infinite repulsion; thermodynamics; exact solution; FINITE TEMPERATURES;
D O I
10.1007/s11232-014-0183-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate that in the limit of infinite repulsion in a magnetic field, the canonical partition function of the one-dimensional Hubbard model in the nearest-neighbor approximation factors into the product of partition functions of holons and spinons, which can be calculated exactly. We thus obtain exact numerical dependences of the free energy, entropy, internal energy, specific heat, chemical potential, and magnetic susceptibility on the hole concentration, temperature, and magnetic field induction.
引用
收藏
页码:835 / 849
页数:15
相关论文
共 8 条
[1]  
Baxter R., 2007, Exactly Solved Models in Statistical Mechanics
[2]   Thermodynamics and excitations of the one-dimensional Hubbard model [J].
Deguchi, T ;
Essler, FHL ;
Göhmann, F ;
Klümper, A ;
Korepin, VE ;
Kusakabe, K .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 331 (05) :197-281
[3]   The Hubbard chain at finite temperatures: ab initio calculations of Tomonaga-Luttinger liquid properties [J].
Juttner, G ;
Klumper, A ;
Suzuki, J .
NUCLEAR PHYSICS B, 1998, 522 (03) :471-502
[4]   THERMODYNAMIC PROPERTIES OF THE ONE-DIMENSIONAL HUBBARD-MODEL [J].
KAWAKAMI, N ;
USUKI, T ;
OKIJI, A .
PHYSICS LETTERS A, 1989, 137 (06) :287-290
[5]  
Lifshits I., 1973, Electron Theory of Metals
[6]   Simple method for exact calculation of thermodynamic properties of the 1D Hubbard model with infinite repulsion [J].
Sidorov, K. A. ;
Ovchinnikov, S. G. ;
Tikhonov, N. V. .
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2013, 116 (02) :330-337
[7]   THE ST-TRANSFORMATION APPROACH TO ANALYTIC SOLUTIONS OF QUANTUM-SYSTEMS .1. GENERAL FORMULATIONS AND BASIC LIMIT-THEOREMS [J].
SUZUKI, M ;
INOUE, M .
PROGRESS OF THEORETICAL PHYSICS, 1987, 78 (04) :787-799
[8]   THERMODYNAMIC QUANTITIES OF THE ONE-DIMENSIONAL HUBBARD-MODEL AT FINITE TEMPERATURES [J].
USUKI, T ;
KAWAKAMI, N ;
OKIJI, A .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (04) :1357-1365