Universality of the Hall conductivity in interacting electron systems
From MaRDI portal
Publication:512326
DOI10.1007/s00220-016-2714-8zbMath1358.81178arXiv1511.04047OpenAlexW3103419639MaRDI QIDQ512326
Marcello Porta, Vieri Mastropietro, Alessandro Giuliani
Publication date: 24 February 2017
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.04047
Statistical mechanics of crystals (82D25) Quantization in field theory; cohomological methods (81T70) Electromagnetic interaction; quantum electrodynamics (81V10) Constructive quantum field theory (81T08) Many-body theory; quantum Hall effect (81V70)
Related Items
A \(\mathbb{Z}_2\)-topological index for quasi-free fermions, Gauge invariance and anomalies in condensed matter physics, Improved energy estimates for a class of time-dependent perturbed Hamiltonians, Large deviations in weakly interacting fermions: Generating functions as Gaussian Berezin integrals and bounds on large Pfaffians, 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, Quantization of the interacting Hall conductivity in the critical regime, The renormalization group. Abstracts from the workshop held July 17--23, 2022, Derivation of Kubo's formula for disordered systems at zero temperature, Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory, Adiabatic evolution of low-temperature many-body systems, The stability of free fermi Hamiltonians, Thermal stability of the Nagaoka-Thouless theorems, Persistence of exponential decay and spectral gaps for interacting fermions, Adiabatic currents for interacting fermions on a lattice, Note on linear response for interacting Hall insulators, On ℤ2-indices for ground states of fermionic chains, Rational indices for quantum ground state sectors, Quantization of conductance in gapped interacting systems, Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results, Optimal decay of Wannier functions in Chern and quantum Hall insulators, Canonical Drude weight for non-integrable quantum spin chains, The Haldane model and its localization dichotomy, Anomaly non-renormalization in interacting Weyl semimetals, Functional integral and stochastic representations for ensembles of identical bosons on a lattice, Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms, Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems, Purely linear response of the quantum Hall current to space-adiabatic perturbations, Multi-channel Luttinger liquids at the edge of quantum Hall systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral gap and edge excitations of \(d\)-dimensional PVBS models on half-spaces
- Stability of frustration-free Hamiltonians
- The two-dimensional Hubbard model on the honeycomb lattice
- A short proof of stability of topological order under local perturbations
- The colored Hofstadter butterfly for the honeycomb lattice
- Determinant bounds and the Matsubara UV problem of many-fermion systems
- Universality relations in non-solvable quantum spin chains
- Extended scaling relations for planar lattice models
- Charge deficiency, charge transport and comparison of dimensions
- Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
- On the density-density critical indices in interacting Fermi systems
- Low-temperature phase diagrams of quantum lattice systems. I: Stability for quantum perturbations of classical systems with finitely-many ground states.
- Quantization of Hall conductance for interacting electrons on a torus
- Universality of conductivity in interacting graphene
- Propagation of correlations in quantum lattice systems
- Universality of one-dimensional Fermi systems. I. Response functions and critical exponents
- Universality of one-dimensional Fermi systems. II. The Luttinger liquid structure
- Ward identities and chiral anomaly in the Luttinger liquid
- The ℤ2 index of disordered topological insulators with time reversal symmetry
- Lieb-Robinson Bounds in Quantum Many-Body Physics
- Localization bounds for an electron gas
- The noncommutative geometry of the quantum Hall effect
- Topological quantum order: Stability under local perturbations
- Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory
- Renormalization group for one-dimensional fermions. A review on mathematical results