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Studies of the Local Density of States for Different Arrangements of Gaussian Deformations

Mahmud, Md Tareq
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1543313429495373

Abstract Details

2018, Master of Science (MS), Ohio University, Physics and Astronomy (Arts and Sciences).
The goal of this thesis is to investigate the effect of a particular type of deformations in the local density of states of graphene. We use the method of Greens function in finding the LDOS of deformed graphene. Deformations can create potential for electron that effect their spatial distribution and dynamics. By tailoring deformation, experimentalists are controlling the motion of electrons in graphene and using it to electronic devices. In this thesis we have worked with Gaussian deformations and use the Green's function formalism to find the local density of states. A single Gaussian deformation creates a spherically symmetric potential. We have reviewed the results obtained previously for a single deformation centered at the origin and found an analytic expression for the LDOS at the center of the deformation and which serves as a testing tools for the numerical results. Taking the deformation to an arbitrary position we have calculated the new expressions to obtain the corresponding LDOS. Numerical results are given for different values of the parameters that define the deformation potential. We have investigated the variation of LDOS both for energy and position. We have observed the change in LDOS is different at different positions and become constant and even zero at higher energies. The contour plots show that the LDOS is spherically symmetric and show the pattern similar to the deformation potential at higher energies. For a two bump system, the scenario is different because now we have a overlap term in the potential. The overlap potential is spherically symmetric though the total potential is not. We have observed that the potential due to this overlap term increases the number of available states depending on the position and types of overlap. The contour plots of the LDOS for two overlapping bumps indicate the confinement of electrons. This result inspired the work of closed pack structure which has already been observed experimentally.
Ryan Chornock, Dr. (Committee Member)
97 p.
Physics
Graphene; Deformations; Local Density of States

Recommended Citations

Citations

  • Mahmud, M. T. (2018). Studies of the Local Density of States for Different Arrangements of Gaussian Deformations [Master's thesis, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1543313429495373

    APA Style (7th edition)

  • Mahmud, Md Tareq. Studies of the Local Density of States for Different Arrangements of Gaussian Deformations. 2018. Ohio University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1543313429495373.

    MLA Style (8th edition)

  • Mahmud, Md Tareq. "Studies of the Local Density of States for Different Arrangements of Gaussian Deformations." Master's thesis, Ohio University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1543313429495373

    Chicago Manual of Style (17th edition)

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This open access ETD is published by Ohio University and OhioLINK.