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 …

Recently, significant progress has been made in (2+ 1)-dimensional conformal field theories
without supersymmetry. In particular, it was realized that different Lagrangians may be …

Sign problem in quantum Monte Carlo (QMC) simulation appears to be an extremely hard
yet interesting problem. In this article, we present a pedagogical overview on the origin of …

We develop the self-learning Monte Carlo (SLMC) method, a general-purpose numerical
method recently introduced to simulate many-body systems, for studying interacting fermion …

The self-learning Monte Carlo method is a powerful general-purpose numerical method
recently introduced to simulate many-body systems. In this work, we extend it to an …

At sufficiently low temperatures, interacting electron systems tend to develop orders.
Exceptions are quantum critical point (QCP) and quantum spin liquid (QSL), where …

Spin-orbit (SO) coupling is the crucial parameter to drive topological-insulating phases in
electronic band models. In particular, the generic emergence of SO coupling involves the …

It is expected that the interplay between nontrivial band topology and strong electron
correlation will lead to very rich physics. Thus a controlled study of the competition between …

The Kane-Mele model is known to show a quantized spin Hall conductivity at zero
temperature. Including Hubbard interactions at each site leads to a quantum phase …

By means of exact diagonalizations, the Bernevig-Hughes-Zhang model at quarter-filling in
the limit of strong Hubbard on-site repulsion is investigated. We find that the noninteracting …