VIOLATION OF SELF-DUALITY FOR TOPOLOGICAL SOLITONS DUE TO SOLITON SOLITON INTERACTION ON A CYLINDRICAL GEOMETRY

被引：42

作者：

DANDOLOFF, R ^{[1
]}

VILLAINGUILLOT, S ^{[1
]}

SAXENA, A ^{[1
]}

BISHOP, AR ^{[1
]}

机构：

[1] LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 74卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.74.813

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study classical Heisenberg spins on an infinite elastic cylinder. In the continuum limit the Hamiltonian of the system is given by the nonlinear σ model. We investigate the periodic, cylindrically symmetric solution of the sine-Gordon equation (the Euler-Lagrange equation for this Hamiltonian). The solution does not satisfy the self-dual equations of Bogomol'nyi [Sov. J. Nucl. Phys. 24, 449 (1976)] which give the minimum energy configuration in each homotopy class. This leads to a novel geometric effect: periodic shrinking of the cylinder. © 1995 The American Physical Society.

引用

页码：813 / 815

页数：3

共 15 条

[1]

[Anonymous], 1990, MAGNETIC PROPERTIES

[2] INSTABILITY AND PEARLING STATES PRODUCED IN TUBULAR MEMBRANES BY COMPETITION OF CURVATURE AND TENSION [J].