Quenched random-mass disorder in the critical Gross-Neveu-Yukawa model

QUEST Center event
No
Speaker
Hennadii Yerzhakov
Date
17/06/2021 - 20:00 - 19:00Add to Calendar 2021-06-17 19:00:04 2021-06-17 20:00:00 Quenched random-mass disorder in the critical Gross-Neveu-Yukawa model In the clean limit, continuous symmetry-breaking quantum phase transitions in 2D Dirac materials such as graphene and surfaces of 3D topological insulators are described by (2+1)D critical Gross-Neveu-Yukawa (GNY) models. In this talk, I will present recent results of the study of the effects of quenched random-mass disorder, both short- and long-range correlated, on the universal critical properties of the Ising, XY, and Heisenberg GNY models. The problem was studied via the application of the replica renormalization group combined with a controlled triple epsilon expansion below four dimensions. Among interesting results, we find new finite-disorder quantum critical and multicritical points and an instance of the supercritical Hopf bifurcation in the renormalization-group flow, which is accompanied by the birth of a stable limit cycle corresponding to discrete scale invariance.   zoom link https://zoom.us/j/99663263719 המחלקה לפיזיקה physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
https://zoom.us/j/99663263719
Abstract

In the clean limit, continuous symmetry-breaking quantum phase transitions in 2D Dirac materials such as graphene and surfaces of 3D topological insulators are described by (2+1)D critical Gross-Neveu-Yukawa (GNY) models. In this talk, I will present recent results of the study of the effects of quenched random-mass disorder, both short- and long-range correlated, on the universal critical properties of the Ising, XY, and Heisenberg GNY models. The problem was studied via the application of the replica renormalization group combined with a controlled triple epsilon expansion below four dimensions. Among interesting results, we find new finite-disorder quantum critical and multicritical points and an instance of the supercritical Hopf bifurcation in the renormalization-group flow, which is accompanied by the birth of a stable limit cycle corresponding to discrete scale invariance.

 

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תאריך עדכון אחרון : 14/06/2021