Non-Hermitian chiral anomalies in interacting systems
arXiv:2306.14766 · doi:10.1103/PhysRevResearch.6.L012028
Abstract
The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous currents merely appear due to the coupling of massless particles with background fields, many-body interactions can also be responsible for anomalous transport in interacting systems. In this Letter, we study anomalous chiral currents in systems where interacting massless fermions with complex Fermi velocities are coupled to complex gauge fields. Our results reveal that incorporating non-Hermiticity and many-body interactions gives rise to additional terms in anomalous relations beyond their Hermitian counterparts. We further present that many-body corrections in the subsequent non-Hermitian chiral magnetic field or anomalous Hall effect are nonvanishing in nonequilibrium or inhomogeneous systems. Our results advance efforts in understanding the anomalous transport in interacting non-Hermitian systems.
arXiv comment7 pages
References in corpus (56)
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
- Observation of the chiral magnetic effect in ZrTe5
- Topological response in Weyl semimetals and the chiral anomaly
- Light-induced anomalous Hall effect in graphene
- Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
- Recent developments in transport phenomena in Weyl semimetals
- The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
- Keldysh Field Theory for Driven Open Quantum Systems
- Weyl semimetal with broken time reversal and inversion symmetries
- Non-Hermitian topological phenomena: A review
- Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
- Non-Hermitian perspective of the band structure in heavy-fermion systems
- Exceptional rings in two-dimensional correlated systems with chiral symmetry
- Notes on Anomaly Induced Transport
- Self-consistent evolution of magnetic fields and chiral asymmetry in the early Universe
- Microscopic theory for the light-induced anomalous Hall effect in graphene
- Symmetry-protected multifold exceptional points and their topological characterization
- Digital quantum simulation of open quantum systems using quantum imaginary time evolution
- Review of experiments on the chiral anomaly in Dirac-Weyl semimetals
- Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
- Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
- Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
- Non-Hermitian fractional quantum Hall states
- Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model
- The turbulent chiral-magnetic cascade in the early universe
- Non-Hermitian skin clusters from strong interactions
- Thermal transport, geometry, and anomalies
- Real-time chiral dynamics from a digital quantum simulation
- Magnetic textures and dynamics in magnetic Weyl semimetals
- Floquet dynamics in light-driven solids
- Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
- Mixed axial-torsional anomaly in Weyl semimetals
- Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
- Disorder-induced exceptional points and nodal lines in Dirac superconductors
- Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays
- Quantum Field Theory Anomalies in Condensed Matter Physics
- Mirror Anomaly in Dirac Semimetals
- Non-Hermitian many-body topological excitations in interacting quantum dots
- Symmetry-protected exceptional and nodal points in non-Hermitian systems
- Chiral Anomaly in Interacting Condensed Matter Systems
- Bridging the gap between topological non-Hermitian physics and open quantum systems
- -pairing ground states in the non-Hermitian Hubbard model
- Fate of exceptional points under interactions: Reduction of topological classifications
- Complex fixed points of the non-Hermitian Kondo model in a Luttinger liquid
- Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
- Liouvillian gap and single spin-flip dynamics in the dissipative Fermi-Hubbard model
- Non-Hermitian chiral anomalies
- Topological piezoelectric effect and parity anomaly in nodal line semimetals
- Chiral Anomaly, Topological Field Theory, and Novel States of Matter
- Gauge Invariance and Anomalies in Condensed Matter Physics
- Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
- Enriched axial anomaly in Weyl materials
- Transfer learning from Hermitian to non-Hermitian quantum many-body physics
- Anomaly-induced charges in baryons