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

Entropy

Tao Yang²  Fa-Kai Wen²  Kun Hao²  Li-Ke Cao¹  Rui-Hong Yue⁴  Ignazio Licata³ 

[1] School of Physics, Northwest University, Xi’an 710069, China; E-Mail:;Institute of Modern Physics, Northwest University, Xi’an 710069, China;id="af1-entropy-17-06044">1Institute of Modern Physics, Northwest University, Xi’an 710069, Chi;School of Physical Science and Technology, Yangzhou University, Yangzhou 225002, China

关键词: Bariev model;    long-range interaction;    twist boundary condition;    energy spectrum;   

DOI  :  10.3390/e17096044

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
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