Weyl and Dirac semimetals in three-dimensional solids

NP Armitage, EJ Mele, A Vishwanath - Reviews of Modern Physics, 2018 - APS
Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

Experimental perspective on three-dimensional topological semimetals

BQ Lv, T Qian, H Ding - Reviews of Modern Physics, 2021 - APS
Topological semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …

Classification of topological quantum matter with symmetries

CK Chiu, JCY Teo, AP Schnyder, S Ryu - Reviews of Modern Physics, 2016 - APS
Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

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 …

Topological quantum matter with ultracold gases in optical lattices

N Goldman, JC Budich, P Zoller - Nature Physics, 2016 - nature.com
Since the discovery of topological insulators, many topological phases have been predicted
and realized in a range of different systems, providing both fascinating physics and exciting …

Bulk-boundary correspondence in a non-Hermitian system in one dimension with chiral inversion symmetry

L **, Z Song - Physical Review B, 2019 - APS
Asymmetric coupling amplitudes effectively create an imaginary gauge field, which induces
a non-Hermitian Aharonov-Bohm (AB) effect. Nonzero imaginary magnetic flux invalidates …

Interacting topological insulators: a review

S Rachel - Reports on Progress in Physics, 2018 - iopscience.iop.org
The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

Multi-Weyl topological semimetals stabilized by point group symmetry

C Fang, MJ Gilbert, X Dai, BA Bernevig - Physical review letters, 2012 - APS
We perform a complete classification of two-band k· p theories at band crossing points in 3D
semimetals with n-fold rotation symmetry and broken time-reversal symmetry. Using this …

Bulk topological invariants in noninteracting point group symmetric insulators

C Fang, MJ Gilbert, BA Bernevig - Physical Review B—Condensed Matter and …, 2012 - APS
We survey various quantized bulk physical observables in two-and three-dimensional
topological band insulators invariant under translational symmetry and crystallographic point …

Non-standard Hubbard models in optical lattices: a review

O Dutta, M Gajda, P Hauke, M Lewenstein… - Reports on Progress …, 2015 - iopscience.iop.org
Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …