Glide reflection symmetry, Brillouin zone folding, and superconducting pairing for the P4/nmm space group

Emilian M. Nica, Rong Yu, and Qimiao Si
Phys. Rev. B 92, 174520 – Published 18 November 2015

Abstract

Motivated by the studies of the superconducting pairing states in the iron-based superconductors, we analyze the effects of Brillouin zone folding procedure from a space-group symmetry perspective for a general class of materials with the P4/nmm space group. The Brillouin zone folding amounts to working with an effective 1-Fe unit cell, instead of the crystallographic 2-Fe unit cell. We show that the folding procedure can be justified by the validity of a glide reflection symmetry throughout the crystallographic Brillouin zone and by the existence of a minimal double degeneracy along the edges of the latter. We also demonstrate how the folding procedure fails when a local spin-orbit coupling is included although the latter does not break any of the space-group symmetries of the bare Hamiltonian. In light of these general symmetry considerations, we further discuss the implications of the glide reflection symmetry for the superconducting pairing in an effective multiorbital tJ1J2 model. We find that, for spin-singlet pairing states, the P4/nmm space-group symmetry allows only even parity under the glide reflection and zero total momentum.

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  • Received 26 June 2015
  • Revised 21 October 2015

DOI:https://doi.org/10.1103/PhysRevB.92.174520

©2015 American Physical Society

Authors & Affiliations

Emilian M. Nica1,*, Rong Yu2,3, and Qimiao Si1

  • 1Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
  • 2Department of Physics, Renmin University of China, Beijing 100872, China
  • 3Department of Physics and Astronomy, Collaborative Innovation Center of Advanced Microstructures, Shanghai Jiaotong University, Shanghai 200240, China

  • *Corresponding author: en5@rice.edu

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Issue

Vol. 92, Iss. 17 — 1 November 2015

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