Ground states of lattice-gas models on the triangular and honeycomb lattices: Devil's step and quasicrystals

被引：15

作者：

Dublenych, Yu. I. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Condensed Matter Phys, UA-79011 Lvov, Ukraine

来源：

PHYSICAL REVIEW E | 2009年 / 80卷 / 01期

关键词：

ISING-MODEL; NEAREST-NEIGHBOR; MULTICRITICAL BEHAVIOR;

D O I：

10.1103/PhysRevE.80.011123

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We propose a method for determining the ground states of lattice-gas (or Ising) models. The method makes possible to find all types of ground states, including chaotic and ordered-but-aperiodic ones, and to identify the first-order phase transitions between them. Using this method, we prove the existence of an infinite series of ground states (the so-called "devil's step") in the lattice-gas model on the triangular lattice with up to third nearest-neighbor interactions and we study the effect of the interactions up to 19th neighbors on this series. To our best knowledge, this is only the second example of the devil's step at zero temperature in the lattice-gas models with one kind of particles.

引用

页数：16

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