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Probing boundary criticality of the 2D random transverse field ising model Tenkila, Gaurav Somashekar

Abstract

We use the real space renormalization group to numerically analyze the 2D Random Ising Model for a system with a boundary. We detect the critical points by studying the cluster percolations and the spontaneous magnetization at the end of the numerical decimation procedure. We use this to derive the phase diagram for the model depicting the different boundary criticality classes of the theory.

Item Metadata

Title
Probing boundary criticality of the 2D random transverse field ising model
Creator
Tenkila, Gaurav Somashekar
Supervisor
Potter, Andrew
Publisher
University of British Columbia
Date Issued
2023
Description
We use the real space renormalization group to numerically analyze the 2D Random Ising Model for a system with a boundary. We detect the critical points by studying the cluster percolations and the spontaneous magnetization at the end of the numerical decimation procedure. We use this to derive the phase diagram for the model depicting the different boundary criticality classes of the theory.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2023-10-19
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0437235
URI
http://hdl.handle.net/2429/86220
Degree
Master of Science - MSc
Program
Physics
Affiliation
Science, Faculty of; Physics and Astronomy, Department of
Degree Grantor
University of British Columbia
Graduation Date
2023-11
Campus
UBCV
Scholarly Level
Graduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository
DSpace

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Attribution-NonCommercial-NoDerivatives 4.0 International