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 …

Duality refers to two equivalent descriptions of the same theory from different points of view.
Recently there has been tremendous progress in formulating and understanding possible …

The deconfined quantum critical point (QCP), separating the Néel and valence bond solid
phases in a 2D antiferromagnet, was proposed as an example of (2+ 1) D criticality …

The phase transition between gapped topological phases represents a class of
unconventional criticality beyond the Landau paradigm. However, recent research has …

Symmetry-protected topological phases generalize the notion of topological insulators to
strongly interacting systems of bosons or fermions. A sophisticated group cohomology …

The challenge of identifying symmetry-protected topological states (SPTs) is due to their lack
of symmetry-breaking order parameters and intrinsic topological orders. For this reason, it is …

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 …

A three-dimensional electron topological insulator (ETI) is a phase of matter protected by
particle-number conservation and time-reversal symmetry. It was previously believed that …

We construct an exactly soluble Hamiltonian on the D= 3 cubic lattice, whose ground state is
a topological phase of bosons protected by time-reversal symmetry, ie, a symmetry …

Continuous quantum phase transitions beyond the conventional paradigm of fluctuations of
a symmetry-breaking order parameter are challenging for theory. These phase transitions …