긴거리 상관된 시간 의존 무작위 퍼텐셜에서 긴거리 상호작용하는 보존들의 양자 임계 현상
Quantum Critical Phenomena of Long-Range Interacting Bosons in a Long-Range-Correlated Time-Dependent Random Potential
- 주제(키워드) vortex melting transition , renormalization group method , type-II superconductor
- 발행기관 아주대학교
- 지도교수 김기홍
- 발행년도 2006
- 학위수여년월 2006. 2
- 학위명 석사
- 학과 및 전공 일반대학원 물리학과
- 본문언어 영어
초록/요약
We study the superfluid-insulator transition of a system of long-range interacting bosons in a time-dependent random potential in two dimensions, using the momentum-shell renormalization group method to one-loop order. The Gaussian-correlated random potential is assumed to be short-range-correlated in spatial directions and long-range-correlated in the temporal dimension. We find a new stable fixed point with nonzero and physical values of the four parameters representing the short- and long-range interactions and the short- and long-range-correlated disorder, when the interaction is asymptotically logarithmic. We propose that our model may be relevant in studying the vortex liquid-vortex glass transition of interacting vortex lines in type-II superconductors with partially-disconnected columnar defects.
more목차
Abstract
1. Introduction
2. Theory
2-1. Vortex-line to boson mapping
2-2. Model
2-3. Fourier-Transformed Effective Action
3. Numerical Analysis
4. Conclusions
