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 …

Recently, we argued [Chin. Phys. Lett. 39, 080502 (2022) 0256-307X 10.1088/0256-
307X/39/8/080502] that the Ising model simultaneously exhibits two upper critical …

The recent discovery of extraordinary-log universality has generated intense interest in
classical and quantum boundary critical phenomena. Despite tremendous efforts, the …

The upper critical dimension of the Ising model is known to be dc= 4, above which critical
behavior is regarded to be trivial. We hereby argue from extensive simulations that, in the …

We study the critical Ising model with free boundary conditions on finite domains in Z^ d Z d
with d ≥ 4 d≥ 4. Under the assumption, so far only proved completely for high d, that the …

There has been much recent progress on exotic surface critical behavior, yet the classical-
quantum correspondence of special and extraordinary-log criticality remains largely unclear …

Field-theoretical calculations predict that, at the upper critical dimension $ d_c= 4$, the finite-
size scaling (FSS) behaviors of the Ising model would be modified by multiplicative …

Logarithmic finite-size scaling of the O (n) universality class at the upper critical
dimensionality (dc= 4) has a fundamental role in statistical and condensed-matter physics …

The n-vector spin model, which includes the self-avoiding walk (SAW) as a special case for
the n→ 0 limit, has an upper critical dimensionality at four spatial dimensions (4D). We …

For statistical mechanical systems with continuous phase transitions, there are two closely
related but subtly different mean-field treatments, the Gaussian fixed point (GFP) in the …