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Instability caused by the fermion–fermion interactions combined with rotational and particle-hole asymmetries in three-dimensional materials with quadratic band touching

  • Jing WangEmail author
Regular Article
  • 18 Downloads

Abstract

We investigate the role of four-fermion interactions, rotational and particle-hole asymmetries, and their interplay in three-dimensional systems with a quadratic band touching point by virtue of the renormalization group approach, which allows to treat all these facets unbiasedly. The coupled flow evolutions of interaction parameters are derived by taking into account one-loop corrections in order to explore the behaviors of low-energy states. We find four-fermion interaction can drive Gaussian fixed points to be unstable in the low-energy regime. In addition, the rotational and particle-hole asymmetries, together with the fermion–fermion interactions conspire to split the trajectories of distinct types of fermionic couplings and induce superconductivity instability with appropriate starting conditions. Furthermore, we present the schematic phase diagrams in the parameter space, showing the overall behaviors of states in the low-energy regime caused by both fermionic interactions and asymmetries.

Graphical abstract

Keywords

Solid State and Materials 

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Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsTianjin UniversityTianjinP.R. China
  2. 2.Department of Modern PhysicsUniversity of Science and Technology of ChinaHefeiP.R. China

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