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Cnoidal Waves and Solitons in the Quantum Lattice Gas Model in a Ring and Effects of the Aharonov‐Bohm Flux on Them
Author(s) -
Chen H.,
Chen Y.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(200002)217:2<847::aid-pssb847>3.0.co;2-1
Subject(s) - physics , soliton , lattice (music) , condensed matter physics , excitation , quantum , quantum electrodynamics , quantum mechanics , energy flux , nonlinear system , acoustics
Cnoidal wave solutions in the quantum lattice gas model in the presence of the Aharonov‐Bohm flux in a ring are found. The energy gap, the effective mass and the binding energy of cnoidal waves are given. It is pointed out that the spin‐wave‐like excitation and the soliton are special cases of the cnoidal wave. Effects of the Aharonov‐Bohm flux on the soliton are considered. It is shown that the width, the peak, the binding energy and the effective mass of the soliton and the energy gap are affected and a Josephson‐like current is induced by the Aharonov‐Bohm flux.