Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity

Abstract

We study the non-Hermitian fermionic superfluidity subject to dissipation of Cooper pairs on a honeycomb lattice, for which we analyze the attractive Hubbard model with a complex-valued interaction. Remarkably, we demonstrate the emergence of the dissipation-induced superfluid phase that is anomalously enlarged by a cusp on the phase boundary. We find that this unconventional phase transition originates from the interplay between exceptional lines and van Hove singularity, which has no counterpart in equilibrium. Moreover, we demonstrate that the infinitesimal dissipation induces the nontrivial superfluid solution at the critical point. Our results can be tested in ultracold atoms with photoassociation techniques by postselcting special measurement outcomes with the use of quantum-gas microscopy and can lead to understanding the NH many-body physics triggered by exceptional manifolds in open quantum systems.

7+7 pages, 4+6 figures

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Cited by in corpus (8)

• Correlation versus dissipation in a non-Hermitian Anderson impurity model
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Modulated honeycomb lattices and their magnetic properties
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Exceptional flat bands in bipartite non-Hermitian lattices