5 papers · 1 filter
The Colored Hofstadter Butterfly as a Many-Body Quantum Hall Phase Diagram
Giovanna Marcelli, Tadahiro Miyao, Domenico Monaco +2
We prove that the colored Hofstadter butterfly has a many-body interpretation for a broad class of weakly interacting lattice fermion systems. Starting from a spectral gap of a Hof…
Hubbard--Heisenberg Thermodynamic Comparison at Half Filling in a Fixed Staggered Field
Tadahiro Miyao
We study the repulsive Hubbard model at half filling in the strong-coupling regime, with a staggered magnetic field of strength \(h\). The analysis is carried out in the canonical…
Ordering of Energy Levels in the Fröhlich Model
Fumio Hiroshima, Akihiro Kobayashi, Tadahiro Miyao +1
Consider a one-dimensional system of \( N \) electrons subject to an external potential \( U \). Let \( E_{\rm el}(S) \) denote the ground state energy of the system with total spi…
Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems
Marius Wesle, Giovanna Marcelli, Tadahiro Miyao +2
We consider an infinitely extended system of fermions on a -dimensional lattice with (magnetic) translation-invariant short-range interactions. We further assume that the system…
Ground state of one-dimensional fermion-phonon systems
Tadahiro Miyao, Seigo Okida, Hayato Tominaga
A new framework for the reflection positivity, based on order-preserving operator inequalities, is proposed. This framework is utilized to investigate one-dimensional fermion-phono…