Berry phase effects on electronic properties

D **ao, MC Chang, Q Niu - Reviews of modern physics, 2010 - APS
Ever since its discovery the notion of Berry phase has permeated through all branches of
physics. Over the past three decades it was gradually realized that the Berry phase of the …

[HTML][HTML] Graphene: carbon in two dimensions

MI Katsnelson - Materials today, 2007 - Elsevier
Carbon is one of the most intriguing elements in the Periodic Table. It forms many allotropes,
some known from ancient times (diamond and graphite) and some discovered 10-20 years …

Colloquium: Artificial gauge potentials for neutral atoms

J Dalibard, F Gerbier, G Juzeliūnas, P Öhberg - Reviews of Modern Physics, 2011 - APS
When a neutral atom moves in a properly designed laser field, its center-of-mass motion
may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a …

Light-induced gauge fields for ultracold atoms

N Goldman, G Juzeliūnas, P Öhberg… - Reports on Progress in …, 2014 - iopscience.iop.org
Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

Chern number and edge states in the integer quantum Hall effect

Y Hatsugai - Physical review letters, 1993 - APS
We consider the integer quantum Hall effect on a square lattice in a uniform rational
magnetic field. The relation between two different interpretations of the Hall conductance as …

Berry phase, hyperorbits, and the Hofstadter spectrum: Semiclassical dynamics in magnetic Bloch bands

MC Chang, Q Niu - Physical Review B, 1996 - APS
We have derived a set of semiclassical equations for electrons in magnetic Bloch bands.
The velocity and energy of magnetic Bloch electrons are found to be modified by the Berry …

[HTML][HTML] Artificial gauge fields in materials and engineered systems

M Aidelsburger, S Nascimbene, N Goldman - Comptes Rendus Physique, 2018 - Elsevier
Artificial gauge fields are currently realized in a wide range of physical settings. This
includes solid-state devices but also engineered systems, such as photonic crystals …

Gauge fields for ultracold atoms in optical superlattices

F Gerbier, J Dalibard - New Journal of Physics, 2010 - iopscience.iop.org
We present a scheme that produces a strong U (1)-like gauge field on cold atoms confined
in a two-dimensional square optical lattice. Our proposal relies on two essential features, a …

Topological phases for fermionic cold atoms on the Lieb lattice

N Goldman, DF Urban, D Bercioux - … Review A—Atomic, Molecular, and Optical …, 2011 - APS
We investigate the properties of the Lieb lattice, that is, a face-centered square lattice,
subjected to external gauge fields. We show that an Abelian gauge field leads to a peculiar …

Direct imaging of topological edge states in cold-atom systems

N Goldman, J Dalibard, A Dauphin… - Proceedings of the …, 2013 - National Acad Sciences
Detecting topological order in cold-atom experiments is an ongoing challenge, the
resolution of which offers novel perspectives on topological matter. In material systems …