Recent developments in fractional Chern insulators

Z Liu, EJ Bergholtz - arXiv preprint arXiv:2208.08449, 2022 - arxiv.org
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 …

Exotic Lifshitz transitions in topological materials

GE Volovik - Physics-Uspekhi, 2018 - iopscience.iop.org
Topological Lifshitz transitions involve many types of topological structures in momentum
and frequency–momentum spaces, such as Fermi surfaces, Dirac lines, Dirac and Weyl …

Topological marker currents in Chern insulators

MD Caio, G Möller, NR Cooper, MJ Bhaseen - Nature Physics, 2019 - nature.com
Topological states of matter exhibit many novel properties due to the presence of robust
topological invariants such as the Chern index. These global characteristics pertain to the …

Non-Hermitian pseudo-gaps

L Li, CH Lee - Science Bulletin, 2022 - Elsevier
The notion of a band gap is ubiquitous in the characterization of matter. Particularly
interesting are pseudo-gaps, which are enigmatic regions of very low density of states that …

Universality classes of topological phase transitions with higher-order band crossing

W Chen, AP Schnyder - New Journal of Physics, 2019 - iopscience.iop.org
In topological insulators and topological superconductors, the discrete jump of the
topological invariant upon tuning a certain system parameter defines a topological phase …

Topological phase transitions at finite temperature

P Molignini, NR Cooper - Physical Review Research, 2023 - APS
The ground states of noninteracting fermions in one-dimension with chiral symmetry form a
class of topological band insulators, described by a topological invariant that can be related …

Multi-critical topological transition at quantum criticality

RR Kumar, YR Kartik, S Rahul, S Sarkar - Scientific Reports, 2021 - nature.com
The investigation and characterization of topological quantum phase transition between
gapless phases is one of the recent interest of research in topological states of matter. We …

Generating quantum multicriticality in topological insulators by periodic driving

P Molignini, W Chen, R Chitra - Physical Review B, 2020 - APS
We demonstrate that the prototypical two-dimensional Chern insulator hosts exotic quantum
multicriticality in the presence of an appropriate periodic driving: a linear Dirac-like transition …

Fidelity susceptibility near topological phase transitions in quantum walks

S Panahiyan, W Chen, S Fritzsche - Physical Review B, 2020 - APS
The notion of fidelity susceptibility, introduced within the context of quantum metric tensor,
has been an important quantity to characterize the criticality near quantum phase transitions …

Universal quantum criticality in static and Floquet-Majorana chains

P Molignini, W Chen, R Chitra - Physical Review B, 2018 - APS
The topological phase transitions in static and periodically driven Kitaev chains are
investigated by means of a renormalization group (RG) approach. These transitions, across …