Quantization of conductance in gapped interacting systems
From MaRDI portal
Publication:1742400
DOI10.1007/s00023-018-0651-0zbMath1386.81101arXiv1707.06491OpenAlexW2962785773WikidataQ130209231 ScholiaQ130209231MaRDI QIDQ1742400
Sven Bachmann, Wojciech De Roeck, Martin Fraas, Alex Bols
Publication date: 11 April 2018
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.06491
Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items (23)
The adiabatic theorem and linear response theory for extended quantum systems ⋮ Universal edge transport in interacting Hall systems ⋮ A new approach to transport coefficients in the quantum spin Hall effect ⋮ Exactness of linear response in the quantum Hall effect ⋮ A many-body index for quantum charge transport ⋮ A bulk spectral gap in the presence of edge states for a truncated pseudopotential ⋮ Mathematical aspects of the Kubo formula for electrical conductivity with dissipation ⋮ Quantization of the interacting Hall conductivity in the critical regime ⋮ Derivation of Kubo's formula for disordered systems at zero temperature ⋮ Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems ⋮ Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in \(\mathbb{R}^d\) ⋮ Persistence of exponential decay and spectral gaps for interacting fermions ⋮ Adiabatic currents for interacting fermions on a lattice ⋮ Hall conductance and the statistics of flux insertions in gapped interacting lattice systems ⋮ Note on linear response for interacting Hall insulators ⋮ The adiabatic theorem in a quantum many-body setting ⋮ On ℤ2-indices for ground states of fermionic chains ⋮ Non-equilibrium almost-stationary states and linear response for gapped quantum systems ⋮ Local commuting projector Hamiltonians and the quantum Hall effect ⋮ Lieb-Schultz-Mattis theorem and the filling constraint ⋮ Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms ⋮ Multi-channel Luttinger liquids at the edge of quantum Hall systems ⋮ Quasi-locality bounds for quantum lattice systems. II: perturbations of frustration-free spin models with gapped ground states
Cites Work
- Stability of frustration-free Hamiltonians
- Universality of the Hall conductivity in interacting electron systems
- A short proof of stability of topological order under local perturbations
- Automorphic equivalence within gapped phases of quantum lattice systems
- Anyons in an exactly solved model and beyond
- Charge deficiency, charge transport and comparison of dimensions
- The adiabatic theorem and linear response theory for extended quantum systems
- Persistence of exponential decay and spectral gaps for interacting fermions
- Quantization of Hall conductance for interacting electrons on a torus
- Propagation of correlations in quantum lattice systems
- Equality of the bulk and edge Hall conductances in a mobility gap
- Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
- Lieb-Robinson Bounds in Quantum Many-Body Physics
- Adiabatic currents for interacting fermions on a lattice
- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
- The stability of free fermi Hamiltonians
This page was built for publication: Quantization of conductance in gapped interacting systems
