Topological quantum matter with cold atoms
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 …
Topological quantum phases, originally discovered and investigated in condensed matter …
Bulk localized transport states in infinite and finite quasicrystals via magnetic aperiodicity
Robust edge transport can occur when charged particles in crystalline lattices interact with
an applied external magnetic field. Such systems have a spectrum composed of bands of …
an applied external magnetic field. Such systems have a spectrum composed of bands of …
Floquet Hofstadter butterfly on the kagome and triangular lattices
In this work, we use Floquet theory to theoretically study the influence of monochromatic
circularly and linearly polarized light on the Hofstadter butterfly—induced by a uniform …
circularly and linearly polarized light on the Hofstadter butterfly—induced by a uniform …
Phase diagrams of Kitaev models for arbitrary magnetic field orientations
The Kitaev model is an exactly solvable quantum spin model within the language of
constrained real fermions. In spite of numerous studies for magnetic fields along special …
constrained real fermions. In spite of numerous studies for magnetic fields along special …
Extended Ginzburg-Landau equations and Abrikrosov vortex and geometric transition from square to rectangular lattice in a magnetic field
RA El-Nabulsi - Physica C: Superconductivity and its Applications, 2021 - Elsevier
In this study, we have constructed an extended version of Ginzburg-Landau theory of
superconductivity starting from the exponential non-standard Lagrangian. An extended …
superconductivity starting from the exponential non-standard Lagrangian. An extended …
Half-integer Wannier diagram and Brown-Zak fermions of graphene on hexagonal boron nitride
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 …
sufficiently large as to thread a full magnetic flux quantum Φ 0 for experimentally accessible …
Hierarchies of Hofstadter butterflies in 2D covalent organic frameworks
The Hofstadter butterfly is one of the first and most fascinating examples of the fractal and
self-similar quantum nature of free electrons in a lattice pierced by a perpendicular magnetic …
self-similar quantum nature of free electrons in a lattice pierced by a perpendicular magnetic …
Algebraic area enumeration of random walks on the honeycomb lattice
We study the enumeration of closed walks of given length and algebraic area on the
honeycomb lattice. Using an irreducible operator realization of honeycomb lattice moves, we …
honeycomb lattice. Using an irreducible operator realization of honeycomb lattice moves, we …
Interacting bosons on crystalline and quasiperiodic ladders in a magnetic field
We study a variety of Hofstadter ladders in order to probe the interplay between interactions,
an applied magnetic field, and crystalline or quasiperiodic geometries. Motion will be …
an applied magnetic field, and crystalline or quasiperiodic geometries. Motion will be …
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 …
electron gas, are studied in the case where the system is additionally illuminated with …