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Entropy 2015, 17(9), 6044-6055; doi:10.3390/e17096044

The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains

1
Institute of Modern Physics, Northwest University, Xi'an 710069, China
2
School of Physics, Northwest University, Xi'an 710069, China
3
School of Physical Science and Technology, Yangzhou University, Yangzhou 225002, China
*
Authors to whom correspondence should be addressed.
Academic Editors: Ignazio Licata and Sauro Succi
Received: 16 May 2015 / Revised: 31 July 2015 / Accepted: 25 August 2015 / Published: 28 August 2015
(This article belongs to the Special Issue Non-Linear Lattice)
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Abstract

We introduce a long-range particle and spin interaction into the standard Bariev model and show that this interaction is equivalent to a phase shift in the kinetic term of the Hamiltonian. When the particles circle around the chain and across the boundary, the accumulated phase shift acts as a twist boundary condition with respect to the normal periodic boundary condition. This boundary phase term depends on the total number of particles in the system and also the number of particles in different spin states, which relates to the spin fluctuations in the system. The model is solved exactly via a unitary transformation by the coordinate Bethe ansatz. We calculate the Bethe equations and work out the energy spectrum with varying number of particles and spins. View Full-Text
Keywords: Bariev model; long-range interaction; twist boundary condition; energy spectrum Bariev model; long-range interaction; twist boundary condition; energy spectrum
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Yang, T.; Wen, F.-K.; Hao, K.; Cao, L.-K.; Yue, R.-H. The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains. Entropy 2015, 17, 6044-6055.

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