DMFT reveals the non-Hermitian topology in heavy-fermion systems

Abstract

We find that heavy fermion systems can have bulk "Fermi arcs", with the use of the non-Hermitian topological theory. In an interacting electron system, the microscopic many-body Hamiltonian is Hermitian, but the one-body quasiparticle Hamiltonian is non-Hermitian due to the finite quasiparticle lifetime. We focus on heavy electron systems as a stage of finite lifetime quasiparticles with two lifetimes, since quasiparticle lifetimes for f-electrons and c-electrons should be different. Two lifetimes induce exceptional points (EPs) of the non-Hermitian quasiparticle Hamiltonian matrix in momentum space. The line connecting between two EPs characterizes the bulk Fermi arcs. With the use of the dynamical mean field theory (DMFT) calculation, we confirm our statement in Kondo insulators with a momentum-dependent hybridization in two-dimensions. We show that the concept of the EPs in the non-Hermitian quasiparticle Hamiltonian is one of powerful tools to predict new phenomena in strongly correlated electron systems.

6 pages, 3 figures, supplemental materials (6 pages)

References in corpus (8)

• The electronic properties of graphene
• Electron transport in disordered graphene
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Quantum Oscillations of Electrical Resistivity in an Insulator
• $i$QIST: An open source continuous-time quantum Monte Carlo impurity solver toolkit
• Composite-Fermion Theory for Pseudogap, Fermi Arc, Hole Pocket, and Non-Fermi-Liquid of Underdoped Cuprate Superconductors
• Gapless superconductivity and the Fermi arc in the cuprates
• Metal-Insulator transitions in the periodic Anderson model

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