FINITE-SIZE SCALING IN ONE-DIMENSIONAL QUANTUM LIQUID WITH LONG-RANGE INTERACTION

被引:108
作者
KAWAKAMI, N [1 ]
YANG, SK [1 ]
机构
[1] NATL LAB HIGH ENERGY PHYS,TSUKUBA,IBARAKI 305,JAPAN
关键词
D O I
10.1103/PhysRevLett.67.2493
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Finite-size scaling analysis is performed for one-dimensional Bose and Fermi systems with long-range interaction g/r2, based on the exact solution of Sutherland. The low-energy behavior of this model is shown to be described by the c = 1 conformal field theory. Exact formulas for various correlation exponents are obtained. At a special point g = 4, the model belongs to the same universality class as the Haldane-Shastry model, the effective theory of which is the level-1 SU(2) Kac-Moody theory.
引用
收藏
页码:2493 / 2496
页数:4
相关论文
共 18 条
[1]   UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748
[2]   CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].
BLOTE, HWJ ;
CARDY, JL ;
NIGHTINGALE, MP .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745
[3]   OPERATOR CONTENT OF TWO-DIMENSIONAL CONFORMALLY INVARIANT THEORIES [J].
CARDY, JL .
NUCLEAR PHYSICS B, 1986, 270 (02) :186-204
[5]   SPINON GAS DESCRIPTION OF THE S=1/2 HEISENBERG CHAIN WITH INVERSE-SQUARE EXCHANGE - EXACT SPECTRUM AND THERMODYNAMICS [J].
HALDANE, FDM .
PHYSICAL REVIEW LETTERS, 1991, 66 (11) :1529-1532
[6]  
HALDANE FDM, 1980, PHYS REV LETT, V45, P1358, DOI 10.1103/PhysRevLett.45.1358
[8]   EFFECTIVE HARMONIC-FLUID APPROACH TO LOW-ENERGY PROPERTIES OF ONE-DIMENSIONAL QUANTUM FLUIDS [J].
HALDANE, FDM .
PHYSICAL REVIEW LETTERS, 1981, 47 (25) :1840-1843
[9]   LUTTINGER LIQUID THEORY OF ONE-DIMENSIONAL QUANTUM FLUIDS .1. PROPERTIES OF THE LUTTINGER MODEL AND THEIR EXTENSION TO THE GENERAL 1D INTERACTING SPINLESS FERMI GAS [J].
HALDANE, FDM .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1981, 14 (19) :2585-2609
[10]  
HAMMER CJ, 1988, J PHYS A, V21, pL173