Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


OsuMmsThesis_JONeal_Spring2017.pdf (2.57 MB)

ETD Abstract Container

Abstract Header

A Numerical Study of a Disorder-driven 2D Mott Insulator-to-Metal Quantum Phase Transition

O'Neal, Jared
http://rave.ohiolink.edu/etdc/view?acc_num=osu1492701913534985

Abstract Details

2017, Master of Mathematical Sciences, Ohio State University, Mathematics.
The study reported here was a theoretical and computational effort to demonstrate how randomly assigning on-site repulsive disorder potentials of a fixed strength to a given number of sites in a standard two-dimensional, mean-field Hubbard model perturbs the magnetic and Mott-like character of the disorder-less parent system. Simulation results, which suggest an insulator-to-metal transition in the absence of chemical doping, show that increasing the number of disorder sites weakens the antiferromagnetic ordering of the system. The transition to a possible metallic state is characterized by a v-shaped gap at the Fermi energy, which is formed by the closing of the Mott gap in regions between disorder sites. We also present a comparison of simulation results against previously-reported scanning tunneling microscopy measurements in an effort to establish this model as a valid model for the material Sr3(Ir1-xRux)2O7, whose parent compound is a Mott insulator and which is known to undergo at low temperatures a transition from an antiferromagnetic insulator phase to an antiferromagnetic metallic phase.
Edward Overman (Advisor)
Nandini Trivedi (Advisor)
75 p.
Applied Mathematics; Physics

Recommended Citations

Citations

  • O'Neal, J. (2017). A Numerical Study of a Disorder-driven 2D Mott Insulator-to-Metal Quantum Phase Transition [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492701913534985

    APA Style (7th edition)

  • O'Neal, Jared. A Numerical Study of a Disorder-driven 2D Mott Insulator-to-Metal Quantum Phase Transition. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1492701913534985.

    MLA Style (8th edition)

  • O'Neal, Jared. "A Numerical Study of a Disorder-driven 2D Mott Insulator-to-Metal Quantum Phase Transition." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492701913534985

    Chicago Manual of Style (17th edition)

osu1492701913534985
395
© 2017, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.