Continuous phase transitions in equilibrium statistical mechanics were successfully
described 50 years ago with the development of the renormalization group framework. This …

The deconfined quantum critical point (DQCP) is an example of phase transitions beyond
the Landau symmetry-breaking paradigm that attracts wide interest. However, its nature has …

Superconductor-insulator/metal transition (SIT/SMT) as a paradigm of quantum phase
transition has been a research highlight over the last three decades. Benefit from recent …

Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in
the Skyrme model of nuclear forces. Here, we argue that similar excitations play an …

We show that the fundamental time-reversal invariant (TRI) insulator exists in 4+ 1
dimensions, where the effective-field theory is described by the (4+ 1)-dimensional Chern …

A topologically ordered material is characterized by a rare quantum organization of
electrons that evades the conventional spontaneously broken symmetry–based …

Recent experiments on twisted bilayer graphene have shown a high-temperature parent
state with massless Dirac fermions and broken electronic flavor symmetry; superconductivity …

We give a self contained review of a recently developed strong coupling theory of magic-
angle graphene. An advantage of this approach is that a single formulation can capture both …

Motivated by recent low-temperature magnetoresistance measurements in twisted bilayer
graphene aligned with hexagonal boron nitride substrate, we perform a systematic study of …

We study the spinless and spinful extended Hubbard models with repulsive interactions on
the kagome and the decorated honeycomb (star) lattice. Using Hartree-Fock mean-field …