Directional and Topological Orders in a Two-Dimensional Compass-XY Model on a Square Lattice

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2016, Vol. 33 ›› Issue (2): 229-233.

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Directional and Topological Orders in a Two-Dimensional Compass-XY Model on a Square Lattice

LI Yushan^1，2, WAN Wenzhi²

1. Department of Physics, Heze University, Heze 274015, China;
2. Department of Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2014-12-08 Revised:2015-04-07 Online:2016-03-25 Published:2016-03-25
Supported by:
Supported by National Natural Science Foundation of China (11074021) and Science and Technology Research Program for Colleges and Universities of Shandong Province,China (J15LJ55)

Abstract

Abstract: Two-dimensional Compass-XY model on a square lattice is investigated by means of Monte Carlo method. Effects of decreasing frustration of exchange interactions on directional and topological orders are studied by adjusting crossover parameter α. It is demonstrated that crossover between directional and topological orders is a gradual process,which means that there is no distinct barrier. Two kinds of ordering are partly overlapped within a certain range,making it difficult to tell them apart. Decrease of frustration facilitates topological order while suppressing directional order. Directional order may be destroyed as frustration is weak enough.

Key words: directional order, topological order, Compass-XY model

CLC Number:

O469

LI Yushan, WAN Wenzhi. Directional and Topological Orders in a Two-Dimensional Compass-XY Model on a Square Lattice[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(2): 229-233.

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Directional and Topological Orders in a Two-Dimensional Compass-XY Model on a Square Lattice

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