Extraordinary-Log Surface Phase Transition in the Three-Dimensional Model
M Hu, Y Deng, JP Lv - Physical Review Letters, 2021 - APS
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 …
point correlation algebraically decreases with the distance r as g (r)∼ r 2-d-η, with d the …
High-dimensional near-critical percolation and the torus plateau
We consider percolation on Z d and on the d-dimensional discrete torus, in dimensions d≥
11 for the nearest-neighbour model and in dimensions d> 6 for spread-out models. For Z d …
11 for the nearest-neighbour model and in dimensions d> 6 for spread-out models. For Z d …
Boundary conditions and universal finite-size scaling for the hierarchical model in dimensions 4 and higher
We analyse and clarify the finite-size scaling of the weakly-coupled hierarchical $ n $-
component $|\varphi|^ 4$ model for all integers $ n\ge 1$ in all dimensions $ d\ge 4$, for …
component $|\varphi|^ 4$ model for all integers $ n\ge 1$ in all dimensions $ d\ge 4$, for …
Geometric scaling behaviors of the Fortuin-Kasteleyn Ising model in high dimensions
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 …
307X/39/8/080502] that the Ising model simultaneously exhibits two upper critical …
The torus plateau for the high-dimensional Ising model
We consider the Ising model on a $ d $-dimensional discrete torus of volume $ r^ d $, in
dimensions $ d> 4$ and for large $ r $, in the vicinity of the infinite-volume critical point …
dimensions $ d> 4$ and for large $ r $, in the vicinity of the infinite-volume critical point …
Two-point functions of random-length random walk on high-dimensional boxes
Two-point functions of random-length random walk on high-dimensional boxes - IOPscience
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A general approach to massive upper bound for two-point function with application to self-avoiding walk torus plateau
Y Liu - arXiv preprint arXiv:2310.17321, 2023 - arxiv.org
We prove a sufficient condition for the two-point function of a statistical mechanical model on
$\mathbb {Z}^ d $, $ d> 2$, to be bounded uniformly near a critical point by $| x|^{-(d-2)}\exp …
$\mathbb {Z}^ d $, $ d> 2$, to be bounded uniformly near a critical point by $| x|^{-(d-2)}\exp …
Quantum extraordinary-log universality of boundary critical behavior
Y Sun, JP Lv - Physical Review B, 2022 - APS
The recent discovery of extraordinary-log universality has generated intense interest in
classical and quantum boundary critical phenomena. Despite tremendous efforts, the …
classical and quantum boundary critical phenomena. Despite tremendous efforts, the …
Unwrapped two-point functions on high-dimensional tori
We study unwrapped two-point functions for the Ising model, the self-avoiding walk (SAW)
and a random-length loop-erased random walk on high-dimensional lattices with periodic …
and a random-length loop-erased random walk on high-dimensional lattices with periodic …
Weakly self-avoiding walk on a high-dimensional torus
How long does a self-avoiding walk on a discrete d-dimensional torus have to be before it
begins to behave differently from a self-avoiding walk on ℤ d? We consider a version of this …
begins to behave differently from a self-avoiding walk on ℤ d? We consider a version of this …