Entropy

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

Tao Yang, Fa-Kai Wen, Kun Hao, Like Cao, Rui‐Hong Yue

Published Aug 28, 2015• 2 citations

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.

DOI: 10.3390/e17096044

Related papers

The Effect of a Long-Range Correlated-Hopping Interaction on

Tao Yang, Fa-Kai Wen, Kun Hao +4 more

School of Physical Science and Technology, Yangzhou University, Yangzhou 225002, China* Authors to whom correspondence should be addressed; E-Mails: yangt@nwu.edu.cn (T.Y.);rhyue@yzu.edu.cn (R.Y.); Tel.: +86-29-88303513; Fax: +86-29-88302331.Academic Editors: Ignazio Licata and Sauro SucciReceived: 16 May 2015 / Accepted: 25 August 2015 / Published: 28 August 2015Abstract: We introduce a long-range particle and spin interaction into the standard Barievmodel and show that this interaction is equivalent to a phase shift in the kinetic term ofthe 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 normalperiodic boundary condition. This boundary phase term depends on the total number ofparticles in the system and also the number of particles in different spin states, whichrelates to the spin ﬂuctuations in the system. The model is solved exactly via a unitarytransformation by the coordinate Bethe ansatz. We calculate the Bethe equations and workout the energy spectrum with varying number of particles and spins.Keywords: Bariev model; long-range interaction; twist boundary condition; energyspectrum1. IntroductionOne dimensional (1D) (quasi-1D) systems exhibit some of the most diverse and intriguing physicalphenomena seen in all of condensed matter physics, such as charge (spin) density waves, quantumwires, quantum Hall bars, Josephson junction arrays, polymers and 1D Bose-Einstein condensates. Thecomplete description of a solid is a complex many body problem. The particles are strongly correlatedand cannot be understood by removing the interactions between them or by considering the effects of

Jan 1, 20150 citations

Integrability of N -Component Bariev Model Under Open Boundary Conditions

Ke San-Min, Rui‐Hong Yue

N -component Bariev model for correlated hopping under open boundary conditions in one dimension is studied in the framework of Bethe ansatz method. The energy spectrum and the related Bethe ansatz equations are obtained.

Communications in Theoretical PhysicsJun 1, 20052 citations

Exact Solutions of One-Dimensional N -Component Bariev Model with General Boundary Conditions

Ke San-Min, Wang Chun, Rui‐Hong Yue

The N-component Bariev model for correlated hopping with open boundary conditions in one dimension is studied in the framework of coordinate Bethe ansatz method. The energy spectrum, integrable boundary conditions and the corresponding Bethe ansatz equations are derived.

Communications in Theoretical PhysicsOct 1, 20060 citations

Integrability of N-Component Bariev Model Under Open Boundary Conditions

KESan-Min, YUERui-Hong

N-component Bariey model for correlated hopping under open boundary conditions in one dimension is studied in the framework of Bethe ansatz method. The energy spectrum and the related Bethe ansatz equations are obtained.

理论物理通讯：英文版Jan 1, 20050 citations

Boundary Effects for One-Dimensional Bariev Model with Hard-Core Repulsion

Li Xiao-Jun, Rui‐Hong Yue

For the Bariev model for correlated hopping in one dimension under open boundary conditions, the Bethe ansatz equations are analyzed for both a repulsive and an attractive interaction in several limiting cases, i.e., the ground state, the weak and strong coupling limits. The contributions of the boundary fields to both the magnetic susceptibility and the specific heat are obtained.

Communications in Theoretical PhysicsOct 15, 20041 citation

Boundary Effects for One-Dimensional Bariev Model with Hard-Core Repulsion

LIXiao-Jun, YUERui-Hong

For the Bariey model for correlated hopping in one dimension under open boundary conditions, the Bethe ansatz equations are analyzed for both a repulsive and an attractive interaction in several limiting cases, i.e., the ground state, the weak and strong coupling limits. The contributions of the boundary fields to both the magnetic susceptibility and the specific heat are obtained.

理论物理通讯：英文版Jan 1, 20040 citations