Topological transport of mobile impurities
arXiv:2102.08407 · doi:10.1103/PhysRevB.103.245106
Abstract
We study the Hall response of topologically-trivial mobile impurities (Fermi polarons) interacting weakly with majority fermions forming a Chern-insulator background. This setting involves a rich interplay between the genuine many-body character of the polaron problem and the topological nature of the surrounding cloud. When the majority fermions are accelerated by an external field, a transverse impurity current can be induced. To quantify this polaronic Hall effect, we compute the drag transconductivity, employing controlled diagrammatic perturbation theory in the impurity-fermion interaction. We show that the impurity Hall drag is not simply proportional to the Chern number characterizing the topological transport of the insulator on its own - it also depends continuously on particle-hole breaking terms, to which the Chern number is insensitive. However, when the insulator is tuned across a topological phase transition, a sharp jump of the impurity Hall drag results, for which we derive an analytical expression. We describe how the Hall drag and jump can be extracted from a circular dichroic measurement of impurity excitation rates, particularly suited for ultracold gas experiments.
arXiv commentJournal version with extended discussion of possible experimental realization
References in corpus (43)
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Experimental realisation of the topological Haldane model
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Topological Bands for Ultracold Atoms
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
- Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
- Fermi polaron-polaritons in charge-tunable atomically thin semiconductors
- Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
- Attractive and repulsive Fermi polarons in two dimensions
- Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations
- Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
- Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
- Repulsive Fermi polarons in a resonant mixture of ultracold Li atoms
- Coulomb drag
- Coulomb Drag in Normal Metals and Superconductors: Diagrammatic Approach
- Universal many-body response of heavy impurities coupled to a Fermi sea
- Measuring quantized circular dichroism in ultracold topological matter
- Topological edge states of interacting photon pairs emulated in a topolectrical circuit
- Boiling a Unitary Fermi Liquid
- Probing topology by "heating": Quantized circular dichroism in ultracold atoms
- Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
- Strongly interacting two-dimensional Fermi gases
- Interferometric Measurements of Many-body Topological Invariants using Mobile Impurities
- Coulomb Drag in Graphene
- Observation of a smooth polaron-molecule transition in a degenerate Fermi gas
- Detecting fractional Chern insulators through circular dichroism
- Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
- Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
- Topological two-body bound states in the interacting Haldane model
- Symmetry Protected Topological Metals
- Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
- Dropping an impurity into a Chern insulator: a polaron view on topological matter
- Transport of neutral optical excitations using electric fields
- Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems
- Interacting Stochastic Topology and Mott Transition from Light Response
- Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
- Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
- Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
- Hall coefficient of semimetals
- Detecting chiral pairing and topological superfluidity using circular dichroism
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- Non-Hermitian Squeezed Polarons
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- Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
- Chiral polaron formation on the edge of topological quantum matter
- Mobile impurity probing a two-dimensional superfluid phase transition
- Polaron spectra and edge singularities for correlated flat bands
- Holstein polaron in a pseudospin- quantum spin Hall system: first and second order topological phase transitions
- Lattice Bose polarons at strong coupling and quantum criticality
- Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
- Polaronic dressing of bound states
- The Bose-Hubbard polaron from weak to strong coupling