Order parameter to characterize valence-bond-solid states in quantum spin chains

被引：92

作者：

Nakamura, M ^{[1
]}

Todo, S

机构：

[1] Tokyo Univ Sci, Fac Sci, Dept Appl Phys, Shinjuku Ku, Tokyo 1628601, Japan

[2] Swiss Fed Inst Technol, CH-8093 Zurich, Switzerland

[3] Univ Tokyo, Inst Solid State Phys, Kashiwa, Chiba 2778581, Japan

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.89.077204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose an order parameter to characterize valence-bond-solid (VBS) states in quantum spin chains, given by the ground-state expectation value of a unitary operator appearing in the Lieb-Schultz-Mattis argument. We show that the order parameter changes the sign according to the number of valence bonds (broken valence bonds) at the boundary for periodic (open) systems. This allows us to determine the phase transition point in between different VBS states. We demonstrate this theory in the successive dimerization transitions of the bond-alternating Heisenberg chains, using the quantum Monte Carlo method.

引用

页码：1 / 077204

页数：4

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