中国物理B ›› 2019, Vol. 28 ›› Issue (2): 20303-020303.doi: 10.1088/1674-1056/28/2/020303

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Phase diagram of interacting fermionic two-leg ladder with pair hopping

Wan-Li Liu(刘万里), Tian-Zhong Yuan(原天忠), Zhi Lin(林志), Wei Yan(闫伟)   

  1. 1 Department of Physics, State Key Laboratory of Surface Physics and Laboratory of Advanced Materials, Fudan University, Shanghai 200433, China;
    2 School of Physics and Materials Science, Anhui University, Hefei 230601, China
  • 收稿日期:2018-10-16 修回日期:2018-12-13 出版日期:2019-02-05 发布日期:2019-02-05
  • 通讯作者: Zhi Lin, Wei Yan E-mail:zhilin13@fudan.edu.cn;weiyan11@fudan.edu.cn
  • 基金资助:

    Project supported by the Open Project of the State Key Laboratory of Surface Physics in Fudan University, China (Grant No. KF2018_13) and the Ph. D. Research Startup Foundation of Anhui University (Grant No. J01003310).

Phase diagram of interacting fermionic two-leg ladder with pair hopping

Wan-Li Liu(刘万里)1,2, Tian-Zhong Yuan(原天忠)1, Zhi Lin(林志)1,2, Wei Yan(闫伟)1   

  1. 1 Department of Physics, State Key Laboratory of Surface Physics and Laboratory of Advanced Materials, Fudan University, Shanghai 200433, China;
    2 School of Physics and Materials Science, Anhui University, Hefei 230601, China
  • Received:2018-10-16 Revised:2018-12-13 Online:2019-02-05 Published:2019-02-05
  • Contact: Zhi Lin, Wei Yan E-mail:zhilin13@fudan.edu.cn;weiyan11@fudan.edu.cn
  • Supported by:

    Project supported by the Open Project of the State Key Laboratory of Surface Physics in Fudan University, China (Grant No. KF2018_13) and the Ph. D. Research Startup Foundation of Anhui University (Grant No. J01003310).

摘要:

We study the phase diagram of the interacting fermionic two-leg ladder, which is featured by pair hopping and interactions of singlet and triplet superconducting channels. By using Abelian bosonization method, we obtain the full phase diagram of our model. The superconducting triplet pairing phase is characterized by a fractional edge spin and interpreted as two Kitaev chains under the mean filed approximation. The pair hopping will give rise to spin-density-wave (SDW) orders and can also support Majorana edge modes in spin channel. At half filling, the resulting Majorana-SDW phase shows additional fractionalization in charge channel, and can be interpreted as two Su-Schrieffer-Heeger (SSH) chains in the mean field regime.

关键词: two-leg ladder, pair hopping, bosonization, Majorana fermion

Abstract:

We study the phase diagram of the interacting fermionic two-leg ladder, which is featured by pair hopping and interactions of singlet and triplet superconducting channels. By using Abelian bosonization method, we obtain the full phase diagram of our model. The superconducting triplet pairing phase is characterized by a fractional edge spin and interpreted as two Kitaev chains under the mean filed approximation. The pair hopping will give rise to spin-density-wave (SDW) orders and can also support Majorana edge modes in spin channel. At half filling, the resulting Majorana-SDW phase shows additional fractionalization in charge channel, and can be interpreted as two Su-Schrieffer-Heeger (SSH) chains in the mean field regime.

Key words: two-leg ladder, pair hopping, bosonization, Majorana fermion

中图分类号:  (Phases: geometric; dynamic or topological)

  • 03.65.Vf
71.10.Pm (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))