Kondo effect in a non-Hermitian, $\mathcal{P}\mathcal{T}$-symmetric Anderson model with Rashba spin-orbit coupling

Abstract

The non-interacting and non-Hermitian, parity-time ($\mathcal{P}\mathcal{T}$)-symmetric Anderson model exhibits an exceptional point (EP) at a non-Hermitian coupling $g=1$, which remains unrenormalized in the presence of interactions (Lourenco et al, arXiv:1806.03116), where the EP was shown to coincide with the quantum critical point (QCP) for Kondo destruction. In this work, we consider a quantum dot hybridizing with metallic leads having Rashba spin-orbit coupling ($\lambda$). We show that for a non-Hermitian hybridization, $\lambda$ can renormalize the exceptional point even in the non-interacting case, stabilizing $\mathcal{P}\mathcal{T}$-symmetry beyond $g=1$. Through exact diagonalization of a zero-bandwidth, three-site model, we show that the quantum critical point and the exceptional point bifurcate, with the critical point for Kondo destruction at $g_c=1$, and the exceptional coupling being $g_{EP}>1$ for all $U\ne 0$ and $\lambda \ge 0;\lambda \ne U/2$. On the line $\lambda =U/2$, the critical point and the EP again coincide at $g_c=g_{EP}=1$. The full model with finite bandwidth leads is investigated through the slave-boson approach, using which we show that, in the strong coupling regime, $\lambda$ and interactions co-operate in strongly reducing the critical point associated with Kondo destruction, below the $\lambda =0$ value.

arXiv comment15 pages, 11 figures, 1 table

References in corpus (39)

• Making Sense of Non-Hermitian Hamiltonians
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Localization transitions in non-Hermitian quantum mechanics
• Quantum trajectories and open many-body quantum systems
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Controlling the dynamics of an open many-body quantum system with localized dissipation
• Parity-time-symmetric quantum critical phenomena
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Spectral theorem for the Lindblad equation for quadratic open fermionic systems
• Two-terminal transport measurements with cold atoms
• Localized magnetic moments with tunable spin exchange in a gas of ultracold fermions
• Conceptual Problems in Scattering from Localized non-Hermitian Potentials
• Kondo effect in a parity-time-symmetric non-Hermitian Hamiltonian
• PT-symmetric quantum Liouvillian dynamics
• Realizing a Kondo-correlated state with ultracold atoms
• Enhancement of the Kondo effect through Rashba spin-orbit interactions
• Laser-induced Kondo effect in ultracold alkaline-earth fermions
• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• Magnetic Impurities in Graphene
• Quantum master equation with balanced gain and loss
• Exploring the Kondo model in and out of equilibrium with alkaline-earth atoms
• Preparation and spectroscopy of a metastable Mott insulator state with attractive interactions
• Quantum impurity on the surface of a topological insulator
• The Kondo effect in the presence of the Rashba spin-orbit interaction
• Transport measurement of the orbital Kondo effect with ultracold atoms
• Bi-Orthogonal Approach to Non-Hermitian Hamiltonians with the Oscillator Spectrum: Generalized Coherent States for Nonlinear Algebras
• Spontaneous Breaking of Classical PT Symmetry
• The Two Dimensional Kondo Model with Rashba Spin-Orbit Coupling
• Interaction Control of Ultracold Alkaline-Earth Atoms
• Kondo effect in graphene with Rashba spin-orbit coupling
• Kondo Destruction in RKKY-Coupled Kondo Lattice and Multi-Impurity Systems
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Universal Critical Behaviors in Non-Hermitian Phase Transitions
• Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
• Non-Hermitian quantum mechanics: the case of bound state scattering theory
• A comparative study on different non-Hermitian approaches for modeling open quantum systems
• Two Anderson impurities in a 2D host with Rashba spin-orbit interaction

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