Correlation-Induced Sensitivity and Non-Hermitian Skin Effect of
Quasiparticles
- URL: http://arxiv.org/abs/2302.00019v2
- Date: Wed, 27 Dec 2023 15:41:35 GMT
- Title: Correlation-Induced Sensitivity and Non-Hermitian Skin Effect of
Quasiparticles
- Authors: Tommaso Micallo, Carl Lehmann, Jan Carl Budich
- Abstract summary: Non-Hermitian (NH) Hamiltonians have been shown to exhibit unique signatures, including the NH skin effect and an exponential spectral sensitivity with respect to boundary conditions.
Here, we investigate as to what extent these remarkable phenomena, recently predicted and observed in a broad range of settings, may also occur in closed correlated fermionic systems governed by a Hermitian many-body Hamiltonian.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-Hermitian (NH) Hamiltonians have been shown to exhibit unique signatures,
including the NH skin effect and an exponential spectral sensitivity with
respect to boundary conditions. Here, we investigate as to what extent these
remarkable phenomena, recently predicted and observed in a broad range of
settings, may also occur in closed correlated fermionic systems that are
governed by a Hermitian many-body Hamiltonian. There, an effectively NH
quasiparticle description naturally arises in the Green's function formalism
due to inter-particle scattering that represents an inherent source of
dissipation. As a concrete platform we construct an extended interacting
Su-Schrieffer-Heeger (SSH) model subject to varying boundary conditions, which
we analyze using exact diagonalization and non-equilibrium Green's function
methods. That way, we clearly identify the presence of the aforementioned NH
phenomena in the quasi-particle properties of this Hermitian model system.
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