In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

At strong repulsion, the triangular-lattice Hubbard model is described by s= 1/2 spins with
nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120° …

We propose a moiré bilayer as a platform where exotic quantum phases can be stabilized
and electrically detected. Moiré bilayers consist of two separate moiré superlattice layers …

Doubts have been raised on the representation of chiral spin liquids exhibiting topological
order in terms of projected entangled pair states (PEPSs). Here, starting from a simple spin …

A promising route towards the realization of chiral spin liquids is the quantum melting of
classically noncoplanar spin states via quantum fluctuations. In the classical realm, such …

Symmetry fractionalization is a ubiquitous feature of topologically ordered states that can be
used to classify different symmetry-enriched topological phases and reveal some of their …

Motivated by the recent synthesis of a number of Mott insulating square-kagome materials,
we explore the rich phenomenology of frustrated magnetism induced by this lattice …

Motivated by recent transport measurements in high-T c cuprate superconductors in a
magnetic field, we study the thermal Hall conductivity in materials with topological order …

The physics of the triangular lattice Hubbard model exhibits a rich phenomenology, ranging
from a metal-insulator transition, intriguing thermodynamic behavior, and a putative spin …

The dynamical structure factor is an important observable of quantum magnets but due to
numerical and theoretical limitations, it remains a challenge to make predictions for Hubbard …