Award Date
1-1-2000
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Physics
First Committee Member
Changfeng Chen
Number of Pages
69
Abstract
The goal of this project is to study the ground-state properties of frustrated spin-1/2 two- and three-leg Heisenberg ladders, and to investigate possible effects of diagonal couplings on spin gaps. The ground-state and the first-excited-state energies of these two systems are calculated systematically by using the density matrix renormalization group method. The ground state phase diagrams for these two systems are obtained. For the frustrated two-leg ladder, we found that the spin gap is insensitive to the change of the FM diagonal coupling constant. This is in agreement with experimental suggestions. For the frustrated three-leg ladder, we conclusively proved that introducing AF diagonal couplings can not change the gapless property of the ground state.
Keywords
Antiferromagnetic; Frustrated; Heisenberg; Heisenberg Ladders; Ladders; Leg; Phase Diagrams; Spin; Spin-1/2
Controlled Subject
Condensed matter; Physics
File Format
File Size
2017.28 KB
Degree Grantor
University of Nevada, Las Vegas
Language
English
Permissions
If you are the rightful copyright holder of this dissertation or thesis and wish to have the full text removed from Digital Scholarship@UNLV, please submit a request to digitalscholarship@unlv.edu and include clear identification of the work, preferably with URL.
Repository Citation
Zhu, Ningsheng, "Frustrated spin -1/2 two-leg and three-leg antiferromagnetic Heisenberg ladders" (2000). UNLV Retrospective Theses & Dissertations. 3109.
http://dx.doi.org/10.25669/6ynw-yxqr
Rights
IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/