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Chin. Phys. B, 2018, Vol. 27(2): 027402    DOI: 10.1088/1674-1056/27/2/027402
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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)
College of Physics, Optoelectronics and Energy, and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
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.

Keywords:  degenerate cold fermionic atoms      topological states      Majorana fermions  
Received:  30 November 2017      Revised:  21 December 2017      Accepted manuscript online: 
PACS:  74.20.Rp (Pairing symmetries (other than s-wave))  
  67.85.Lm (Degenerate Fermi gases)  
  03.65.Vf (Phases: geometric; dynamic or topological)  
Fund: 

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

Corresponding Authors:  Jian-Hua Jiang     E-mail:  jianhuajiang@suda.edu.cn
About author:  74.20.Rp; 67.85.Lm; 03.65.Vf

Cite this article: 

Hai-Xiao Wang(王海啸), Zi-Heng Liu(刘子衡), Jian-Hua Jiang(蒋建华) Chiral p-wave pairing of ultracold fermionic atoms due to a quadratic band touching 2018 Chin. Phys. B 27 027402

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