Quantum entanglement marks a definitive feature of topological states. However, the
entanglement spectrum remains insufficiently explored for topological states without a bulk …

We study entanglement properties of free-fermion systems without Hermiticity by use of
correlation matrix and overlap matrix in the biorthogonal basis. We find at a critical point in …

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

Despite great successes in the study of gapped phases, a comprehensive understanding of
the gapless phases and their transitions is still under development. In this paper, we study a …

Quantum computers promise to perform computations beyond the reach of modern
computers with profound implications for scientific research. Due to remarkable …

Intrinsically gapless symmetry-protected topological phases (igSPT) are gapless systems
with SPT edge states with properties that could not arise in a gapped system with the same …

Long-range interactions can fundamentally alter properties in gapped topological phases
such as emergent massive edge modes. However, recent research has shifted attention to …

By constructing an exactly solvable spin model, we investigate the critical behaviors of
transverse-field Ising chains interpolated with cluster interactions, which exhibit various …

It is known that the classical O (N) model in dimension d> 3 at its bulk critical point admits
three boundary universality classes: the ordinary, the extra-ordinary and the special. For the …

It was recently realized that the three-dimensional O (N) model possesses an extraordinary
boundary universality class for a finite range of N≥ 2. For a given N, the existence and …