中国物理B ›› 2018, Vol. 27 ›› Issue (2): 27402-027402.doi: 10.1088/1674-1056/27/2/027402

• SPECIAL TOPIC—Soft matter and biological physics (Review) • 上一篇    下一篇

Chiral p-wave pairing of ultracold fermionic atoms due to a quadratic band touching

Hai-Xiao Wang(王海啸), Zi-Heng Liu(刘子衡), Jian-Hua Jiang(蒋建华)   

  1. College of Physics, Optoelectronics and Energy, and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
  • 收稿日期:2017-11-30 修回日期:2017-12-21 出版日期:2018-02-05 发布日期:2018-02-05
  • 通讯作者: Jian-Hua Jiang E-mail:jianhuajiang@suda.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11675116) and the Soochow University, China.

Chiral p-wave pairing of ultracold fermionic atoms due to a quadratic band touching

Hai-Xiao Wang(王海啸), Zi-Heng Liu(刘子衡), Jian-Hua Jiang(蒋建华)   

  1. College of Physics, Optoelectronics and Energy, and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
  • Received:2017-11-30 Revised:2017-12-21 Online:2018-02-05 Published:2018-02-05
  • Contact: Jian-Hua Jiang E-mail:jianhuajiang@suda.edu.cn
  • About author:74.20.Rp; 67.85.Lm; 03.65.Vf
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11675116) and the Soochow University, China.

摘要:

We study the superfuild ground state of ultracold fermions in optical lattices with a quadratic band touching. Examples are a checkerboard lattice around half filling and a kagome lattice above one third filling. Instead of pairing between spin states, here we focus on pairing interactions between different orbital states. We find that our systems have only odd-parity (orbital) pairing instability while the singlet (orbital) pairing instability vanishes thanks to the quadratic band touching. In the mean field level, the ground state is found to be a chiral p-wave pairing superfluid (mixed with finite f-wave pairing order-parameters) which supports Majorana fermions.

关键词: degenerate cold fermionic atoms, topological states, Majorana fermions

Abstract:

We study the superfuild ground state of ultracold fermions in optical lattices with a quadratic band touching. Examples are a checkerboard lattice around half filling and a kagome lattice above one third filling. Instead of pairing between spin states, here we focus on pairing interactions between different orbital states. We find that our systems have only odd-parity (orbital) pairing instability while the singlet (orbital) pairing instability vanishes thanks to the quadratic band touching. In the mean field level, the ground state is found to be a chiral p-wave pairing superfluid (mixed with finite f-wave pairing order-parameters) which supports Majorana fermions.

Key words: degenerate cold fermionic atoms, topological states, Majorana fermions

中图分类号:  (Pairing symmetries (other than s-wave))

  • 74.20.Rp
67.85.Lm (Degenerate Fermi gases) 03.65.Vf (Phases: geometric; dynamic or topological)