Non-Hermitian BCS-BEC crossover of Dirac fermions

Abstract

We investigate chiral symmetry breaking in a model of Dirac fermions with a complexified coupling constant whose imaginary part represents dissipation. We introduce a chiral chemical potential and observe that for real coupling a relativistic BCS-BEC crossover is realized. We solve the model in the mean-field approximation and construct the phase diagram as a function of the complex coupling. It is found that the dynamical mass increases under dissipation, although the chiral symmetry gets restored if dissipation exceeds a threshold.

21 pages. v2: references added. v3: section 5 added. published version

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• Electric conductivity in non-Hermitian holography
• Spontaneous non-Hermiticity in the (2+1)-dimensional Gross-Neveu model
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Thermodynamic properties of non-Hermitian Nambu--Jona-Lasinio models
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids