Topological bands for ultracold atoms
There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …
and topological features in experiments on cold atomic gases. This review summarizes …
Recent developments in fractional Chern insulators
Fractional Chern insulators (FCIs) are lattice generalizations of the conventional fractional
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …
Magic-angle helical trilayer graphene
We propose magic-angle helical trilayer graphene (HTG), a helical structure featuring
identical rotation angles between three consecutive layers of graphene, as a unique and …
identical rotation angles between three consecutive layers of graphene, as a unique and …
Topological and stacked flat bands in bilayer graphene with a superlattice potential
We show that bilayer graphene in the presence of a 2D superlattice potential provides a
highly tunable setup that can realize a variety of flat band phenomena. We focus on two …
highly tunable setup that can realize a variety of flat band phenomena. We focus on two …
[BOOK][B] Fractional quantum hall effects: new developments
BI Halperin, JK Jain - 2020 - books.google.com
The fractional quantum Hall effect has been one of the most active areas of research in
quantum condensed matter physics for nearly four decades, serving as a paradigm for …
quantum condensed matter physics for nearly four decades, serving as a paradigm for …
Hierarchy of ideal flatbands in chiral twisted multilayer graphene models
We propose models of twisted multilayer graphene that exhibit exactly flat Bloch bands with
arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting …
arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting …
Family of ideal chern flatbands with arbitrary chern number in chiral twisted graphene multilayers
We consider a family of twisted graphene multilayers consisting of n-untwisted chirally
stacked layers, eg, AB, ABC, etc, with a single twist on top of m-untwisted chirally stacked …
stacked layers, eg, AB, ABC, etc, with a single twist on top of m-untwisted chirally stacked …
Origin of model fractional Chern insulators in all topological ideal flatbands: Explicit color-entangled wave function and exact density algebra
It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Many-body ground states from decomposition of ideal higher Chern bands: Applications to chirally twisted graphene multilayers
Motivated by the higher Chern bands of twisted graphene multilayers, we consider flat
bands with arbitrary Chern number C with ideal quantum geometry. While C> 1 bands differ …
bands with arbitrary Chern number C with ideal quantum geometry. While C> 1 bands differ …
Topological properties of a dense atomic lattice gas
We investigate the existence of topological phases in a dense two-dimensional atomic
lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a …
lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a …