Work

Emergence of a boundary-sensitive phase in hyperbolic Ising models

Year: 2025

Type: article

Abstract: The introduction of spatial curvature leads to novel phases lying beyond the conventional Landau and topological order paradigms. In Ising models on hyperbolic lattices, the authors identify a boundary-sensitive bulk ordered phase that emerges between the ferromagnetic and paramagnetic regimes as the temperature increases. Using a symmetry-restricted corner transfer matrix renormalization group approach, they map here the complete phase diagram with transitions linked by a boundary-transforming Kramers--Wannier duality. Cayley tree limit calculations expose a sharp holographic correspondence between boundary and bulk correlation functions.

Source: Physical review. B./Physical review. B

DOI: 10.1103/f4sj-rwvj

Authors: Xingzhi Wang, Zohar Nussinov, Gerardo Ortiz