Topological quantum matter with cold atoms

DW Zhang, YQ Zhu, YX Zhao, H Yan… - Advances in Physics, 2018 - Taylor & Francis
This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

Magnetic Bloch theorem and reentrant flat bands in twisted bilayer graphene at flux

J Herzog-Arbeitman, A Chew, BA Bernevig - Physical Review B, 2022 - APS
Bloch's theorem is the centerpiece of topological band theory, which itself has defined an
era of quantum materials research. However, Bloch's theorem is broken by a perpendicular …

Simulating quantum spin Hall effect in the topological Lieb lattice of a linear circuit network

W Zhu, S Hou, Y Long, H Chen, J Ren - Physical Review B, 2018 - APS
Inspired by the topological insulator circuit experimentally proposed by Jia Ningyuan et
al.[Phys. Rev. X 5, 021031 (2015) 2160-3308 10.1103/PhysRevX. 5.021031], we …

Realization of Hofstadter's butterfly and a one-way edge mode in a polaritonic system

R Banerjee, TCH Liew, O Kyriienko - Physical Review B, 2018 - APS
We present a scheme to generate an artificial gauge field for the system of neutral bosons,
represented by polaritons in micropillars arranged into a square lattice. The splitting …

Half-integer Wannier diagram and Brown-Zak fermions of graphene on hexagonal boron nitride

T Fabian, M Kausel, L Linhart, J Burgdörfer, F Libisch - Physical Review B, 2022 - APS
The moiré potential of graphene on hexagonal boron nitride (hBN) generates a supercell
sufficiently large as to thread a full magnetic flux quantum Φ 0 for experimentally accessible …

Analysis of band gap in AA and Ab stacked bilayer graphene by Hamiltonian tight binding method

M Junaid, G Witjaksono - 2019 IEEE International Conference …, 2019 - ieeexplore.ieee.org
The electronic properties of AA and AB-stacked bilayer graphene has been carefully
investigated by the principle of Hamiltonian tight binding model. It is determined that the AA …

Extended Creutz ladder with spin-orbit coupling: A one-dimensional analog of the Kane-Mele model

S Gholizadeh, M Yahyavi, B Hetényi - Europhysics Letters, 2018 - iopscience.iop.org
We construct a topological one-dimensional ladder model following the steps which lead to
the Kane-Mele model in two dimensions. Starting with a Creutz ladder we modify it so that …

Hofstadter butterfly evolution in the space of two-dimensional Bravais lattices

F Yılmaz, MÖ Oktel - Physical Review A, 2017 - APS
The self-similar energy spectrum of a particle in a periodic potential under a magnetic field,
known as the Hofstadter butterfly, is determined by the lattice geometry as well as the …

Driven Hofstadter butterflies and related topological invariants

M Wackerl, P Wenk, J Schliemann - Physical Review B, 2019 - APS
The properties of the Hofstadter butterfly, a fractal, self-similar spectrum of a two-dimensional
electron gas, are studied in the case where the system is additionally illuminated with …

Superfluid transition in the attractive Hofstadter-Hubbard model

RO Umucalılar, M Iskin - Physical Review A, 2016 - APS
We consider a Fermi gas that is loaded onto a square optical lattice and subjected to a
perpendicular artificial magnetic field, and determine its superfluid transition boundary by …