Matrix model criticality and resonant tunneling

TL;DR

This paper explores the potential for novel critical behavior in Hermitian matrix models with resonant tunneling, linking it to first-order phase transitions and examining its distinctive features.

Contribution

It introduces the concept of matrix model criticality associated with resonant tunneling, a novel idea not previously studied in this context.

Findings

Identification of a new critical point linked to resonant tunneling

Connection between the criticality and first-order phase transitions

Initial exploration of features characterizing this criticality

Abstract

We suggest that the Hermitian matrix models with resonant tunneling may exhibit novel criticality. Some features of the proposed criticality are explored. In particular, we argue that the new critical point is connected with the first-order transition.