Dissertations, Theses, and Capstone Projects

Date of Degree

2-2019

Document Type

Doctoral Dissertation

Degree Name

Doctor of Philosophy

Program

Physics

Advisor

Anatoly Kuklov

Committee Members

Roman Kezerashvili

Alfred Levine

Vadim Oganesyan

David Schmeltzer

Boris Svistunov

Subject Categories

Condensed Matter Physics | Statistical, Nonlinear, and Soft Matter Physics

Keywords

Monte Carlo, Critical Phenomena, Phase Transitions

Abstract

My research focuses on the analytical and numerical study of seemingly completely different systems - the classical critical point of the liquid-gas transition and a quantum topological defect (dislocation) in solid Helium-4. The unifying theme, though, is Emergence - the appearance of unexpected qualities at large distance and time scales in these systems. Our results resolve the long standing controversy about the nature of the liquid-gas criticality by showing with high confidence that it is the same as that of Ising ferromagnet. In solid 4He, a quantum superclimbing dislocation, which is expected to be violating space-time symmetry according to the elementary textbook assessment, shows emergence of this symmetry in our numerical simulations.

Comments

A revised version was uploaded on June 12, 2019 with the approval of the Graduate Center.

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