Phase diagram of the Fermi–Hubbard model with spin-dependent external potentials: A DMRG study

doi:10.1088/1674-1056/24/11/117101

中国物理B ›› 2015, Vol. 24 ›› Issue (11): 117101-117101.doi: 10.1088/1674-1056/24/11/117101

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Phase diagram of the Fermi–Hubbard model with spin-dependent external potentials: A DMRG study

魏兴波, 孟烨铭, 吴哲明, 高先龙

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2015-06-18 修回日期:2015-10-09 出版日期:2015-11-05 发布日期:2015-11-05
通讯作者: Gao Xian-Long E-mail:gaoxl@zjnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11374266 and 11174253) and the Program for New Century Excellent Talents in University, China.

Phase diagram of the Fermi–Hubbard model with spin-dependent external potentials: A DMRG study

Wei Xing-Bo (魏兴波), Meng Ye-Ming (孟烨铭), Wu Zhe-Ming (吴哲明), Gao Xian-Long (高先龙)

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2015-06-18 Revised:2015-10-09 Online:2015-11-05 Published:2015-11-05
Contact: Gao Xian-Long E-mail:gaoxl@zjnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11374266 and 11174253) and the Program for New Century Excellent Talents in University, China.

摘要/Abstract

摘要： We investigate a one-dimensional two-component system in an optical lattice of attractive interactions under a spin-dependent external potential. Based on the density-matrix renormalization group methods, we obtain its phase diagram as a function of the external potential imbalance and the strength of the attractive interaction through the analysis on the density profiles and the momentum pair correlation functions. We find that there are three different phases in the system, a coexisted fully polarized and Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase, a normal polarized phase, and a Bardeen-Cooper-Schrieffer (BCS) phase. Different from the systems of spin-independent external potential, where the FFLO phase is normally favored by the attractive interactions, in the present situation, the FFLO phases are easily destroyed by the attractive interactions, leading to the normal polarized or the BCS phase.

关键词: Fermi-Hubbard model, spin-dependent potential, Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase

Abstract: We investigate a one-dimensional two-component system in an optical lattice of attractive interactions under a spin-dependent external potential. Based on the density-matrix renormalization group methods, we obtain its phase diagram as a function of the external potential imbalance and the strength of the attractive interaction through the analysis on the density profiles and the momentum pair correlation functions. We find that there are three different phases in the system, a coexisted fully polarized and Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase, a normal polarized phase, and a Bardeen-Cooper-Schrieffer (BCS) phase. Different from the systems of spin-independent external potential, where the FFLO phase is normally favored by the attractive interactions, in the present situation, the FFLO phases are easily destroyed by the attractive interactions, leading to the normal polarized or the BCS phase.

Key words: Fermi-Hubbard model, spin-dependent potential, Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase

中图分类号: (Lattice fermion models (Hubbard model, etc.))

71.10.Fd

71.10.Li (Excited states and pairing interactions in model systems) 05.30.Fk (Fermion systems and electron gas)

魏兴波, 孟烨铭, 吴哲明, 高先龙. Phase diagram of the Fermi–Hubbard model with spin-dependent external potentials: A DMRG study[J]. 中国物理B, 2015, 24(11): 117101-117101.

Wei Xing-Bo (魏兴波), Meng Ye-Ming (孟烨铭), Wu Zhe-Ming (吴哲明), Gao Xian-Long (高先龙). Phase diagram of the Fermi–Hubbard model with spin-dependent external potentials: A DMRG study[J]. Chin. Phys. B, 2015, 24(11): 117101-117101.

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Phase diagram of the Fermi–Hubbard model with spin-dependent external potentials: A DMRG study

Phase diagram of the Fermi–Hubbard model with spin-dependent external potentials: A DMRG study

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