Universality Relations in Non-solvable Quantum Spin Chains

被引：17

作者：

Benfatto, G. ^{[1
]}

Mastropietro, V. ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

JOURNAL OF STATISTICAL PHYSICS | 2010年 / 138卷 / 06期

关键词：

Universality; Quantum spin chains; Luttinger liquids; Haldane relations; LUTTINGER LIQUID; WARD IDENTITIES; FERMI SYSTEMS; EXPONENTS; FIELD;

D O I：

10.1007/s10955-010-9920-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the exact relations between the critical exponents and the susceptibility, implied by the Haldane Luttinger liquid conjecture, for a generic lattice fermionic model or a quantum spin chain with short range weak interaction. The validity of such relations was only checked in some special solvable models, but there was up to now no proof of their validity in non-solvable models.

引用

页码：1084 / 1108

页数：25

共 22 条

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