In the recent years, the thermal Hall transport has risen as an important diagnosis of the
physical properties of the elementary excitations in various quantum materials, especially …

In metals, electrons in a magnetic field undergo cyclotron motion, leading to oscillations in
physical properties called quantum oscillations. This phenomenon has never been seen in a …

Time-periodic driving like lattice shaking offers a low-demanding method to generate
artificial gauge fields in optical lattices. We identify the relevant symmetries that have to be …

Magnetic susceptibility, NMR, muon spin relaxation, and inelastic neutron scattering
measurements show that kapellasite, Cu 3 Zn (OH) 6 Cl 2, a geometrically frustrated spin …

The frustration of antiferromagnetic interactions on the loosely connected kagome lattice
associated to the enhancement of quantum fluctuations for S= 1/2 spins was acknowledged …

Quantum spin liquids provide paradigmatic examples of highly entangled quantum states of
matter. Frustration is the key mechanism to favor spin liquids over more conventional …

Recent neutron scattering experiments on the spin-1/2 kagome lattice antiferromagnet
ZnCu3 (OH) 6Cl2 (Herbertsmithite) provide the first evidence of fractionalized excitations in …

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 …

Recent investigations on the dipolar-octupolar compounds Ce 2 Zr 2 O 7 and Ce 2 Sn 2 O 7
suggest that they may stabilize so-called π-flux octupolar quantum spin ice (π-O-QSI), a …

We present a general review of the projective symmetry group classification of fermionic
quantum spin liquids for lattice models of spin S= 1/2. We then introduce a systematic …