Date of Degree

2-2019

Document Type

Dissertation

Degree Name

Ph.D.

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.

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