Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

We study a class of symmetry protected topological (SPT) phases under various types of
decoherence, which can drive a pure SPT state into a mixed state. We demonstrate that the …

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 …

Some quantum critical states cannot be smoothly deformed into each other without either
crossing some multicritical points or explicitly breaking certain symmetries even if they …

It was recently found that the classical 3d O $(N) $ model in the semi-infinite geometry can
exhibit an" extraordinary-log" boundary universality class, where the spin-spin correlation …

This paper studies the critical behavior of the 3d classical $\mathrm {O}(N) $ model with a
boundary. Recently, one of us established that upon treating $ N $ as a continuous variable …

We study the boundary critical behavior of the three-dimensional Heisenberg universality
class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo …

In symmetry-protected topological (SPT) phases, the combination of symmetries and a bulk
gap stabilizes protected modes at surfaces or at topological defects. Understanding the fate …

Universality is a pillar of modern critical phenomena. The standard scenario is that the two-
point correlation algebraically decreases with the distance r as g (r)∼ r 2-d-η, with d the …