Non-Hermitian exceptional Landau quantization in electric circuits

Abstract

Alternating current RLC electric circuits form an accessible and highly tunable platform simulating Hermitian as well as non-Hermitian (nH) quantum systems. We propose here a circuit realization of nH Dirac and Weyl Hamiltonians subject to time-reversal invariant pseudo-magnetic field, enabling the exploration of novel nH physics. We identify the low-energy physics with a generic real energy spectrum from the nH Landau quantization of exceptional points and rings, which can avoid the nH skin effect and provides a physical example of a quasiparticle moving in the complex plane. Realistic detection schemes are designed to probe the flat energy bands, sublattice polarization, edge states protected by a nH energy-reflection symmetry, and a characteristic nodeless probability distribution.

Main text + Supplemental material

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Cited by in corpus (54)

• Exceptional Topology of Non-Hermitian Systems
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• Non-Hermitian Dirac Cones
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• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Inner Skin Effects on Non-Hermitian Topological Fractals
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• Non-Hermitian Topological Phases: Principles and Prospects
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Dimensional transmutation from non-Hermiticity
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
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• Non-Abelian inverse Anderson transitions
• Unsupervised Learning of Non-Hermitian Topological Phases
• Untying links through anti-parity-time-symmetric coupling
• Bulk-boundary correspondence in point-gap topological phases
• Non-Hermitian Absorption Spectroscopy
• Exceptional points make an astroid in non-Hermitian Lieb lattice: evolution and topological protection
• Experimental realization of two-dimensional weak topological insulators
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Real spectra in non-Hermitian topological insulators
• Manipulating non-Hermitian skin effect via electric fields
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
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• Percolation-induced PT symmetry breaking
• Exploring topological phase transition andWeyl physics in five dimensions with electric circuits
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• Filling up complex spectral regions through non-Hermitian disordered chains
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• The simulation of non-Hermitian disordered system in linear circuits
• Observation of type-III corner states induced by long-range interactions
• Topolectrical-circuit realization of quadrupolar surface semimetals
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Observation of non-local impedance response in a passive electrical circuit
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Topological circuit of a versatile non-Hermitian quantum system
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Real-time edge dynamics of non-Hermitian lattices
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• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
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• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Exceptional horns in $n$-root graphene and Lieb photonic ring lattices
• Floquet spin textures in optically pumped non-Hermitian surface states