Published February 8, 2013 | Version v1
Journal article

From spin to anyon notation: the XXZ Heisenberg model as a D3 (or su(2)4) anyon chain

  • 1. Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, D-30167 Hannover (Germany)

Description

We discuss a relationship between certain one-dimensional quantum spin chains and anyon chains. In particular, we show how the XXZ Heisenberg chain is realized as a D3 (alternatively su(2)4) anyon model. We find that the difference between the models lies primarily in the choice of boundary conditions. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/46/5/055305

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
46
Journal Issue
5
Journal Page Range
[12 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44045930
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUNDARY CONDITIONS; CHAINS; HEISENBERG MODEL; ONE-DIMENSIONAL CALCULATIONS; SIMULATION; SPIN; SU-2 GROUPS
Descriptors DEC
ANGULAR MOMENTUM; CRYSTAL MODELS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE PROPERTIES; SU GROUPS; SYMMETRY GROUPS