The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains
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...
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| Format: | Article |
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MDPI AG
2015-08-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/9/6044 |
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| author | Tao Yang Fa-Kai Wen Kun Hao Li-Ke Cao Rui-Hong Yue |
| author_facet | Tao Yang Fa-Kai Wen Kun Hao Li-Ke Cao Rui-Hong Yue |
| author_sort | Tao Yang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T22:32:00Z |
| format | Article |
| id | doaj.art-5aab63b56f4f44e783f3a4089f719424 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:32:00Z |
| publishDate | 2015-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-5aab63b56f4f44e783f3a4089f7194242022-12-22T03:59:20ZengMDPI AGEntropy1099-43002015-08-011796044605510.3390/e17096044e17096044The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin ChainsTao Yang0Fa-Kai Wen1Kun Hao2Li-Ke Cao3Rui-Hong Yue4Institute of Modern Physics, Northwest University, Xi'an 710069, ChinaInstitute of Modern Physics, Northwest University, Xi'an 710069, ChinaInstitute of Modern Physics, Northwest University, Xi'an 710069, ChinaSchool of Physics, Northwest University, Xi'an 710069, ChinaSchool of Physical Science and Technology, Yangzhou University, Yangzhou 225002, ChinaWe 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.http://www.mdpi.com/1099-4300/17/9/6044Bariev modellong-range interactiontwist boundary conditionenergy spectrum |
| spellingShingle | Tao Yang Fa-Kai Wen Kun Hao Li-Ke Cao Rui-Hong Yue The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains Entropy Bariev model long-range interaction twist boundary condition energy spectrum |
| title | The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains |
| title_full | The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains |
| title_fullStr | The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains |
| title_full_unstemmed | The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains |
| title_short | The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains |
| title_sort | effect of a long range correlated hopping interaction on bariev spin chains |
| topic | Bariev model long-range interaction twist boundary condition energy spectrum |
| url | http://www.mdpi.com/1099-4300/17/9/6044 |
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