A study of Dirac sea effects on the integer quantum Hall states of Graphene (Record no. 48893)

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fixed length control field 02964nam a2200253Ia 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Vinu lukose
Relator term author
245 #2 - TITLE STATEMENT
Title A study of Dirac sea effects on the integer quantum Hall states of Graphene
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 2014
300 ## - PHYSICAL DESCRIPTION
Number of Pages 181p.
502 ## - DISSERTATION NOTE
Dissertation note 2014
502 ## - DISSERTATION NOTE
Degree Type Ph.D
502 ## - DISSERTATION NOTE
Name of granting institution HBNI
520 3# - SUMMARY, ETC.
Summary, etc The author investigates the nature of quantum Hall states for (sigma)H = 0; (+) or (-) 1, hence the review of the reported experimental works is centered around these states. The quantum Hall experiments for graphene on boron nitride substrate and suspended graphene are most relevant to this work. Chapter 2, provides analytical and numerical solutions to the problem of electrons in graphene subjected to cross electric and magnetic field. Within the continuum model, the obtained spectrum for graphene subjected to cross electric and magnetic field. The present study utilizes the relativistic structure of continuum theory and trick of Lorentz boost to obtain exact analytical solutions. These solutions reveal collapse of Landau level spectrum for a critical electric field. This work also presents numerical calculations for the same problem on lattice to show that the electric field effects on the Landau levels are not artifacts of continuum theory. In Chapter 3 it is shown that a systematic continuum approximation for the interacting lattice model for graphene and provided motivation for the choice of continuum interacting model studied in this thesis. Chapter 4 presents a discussion on the choice of Landau levels for massive Dirac to construct the variational wave functions. Using the heat kernel method developed a suitable expression for two point correlator for massive Dirac particle in magnetic field. The two point correlator are used to evaluate the mean field energies and particle-hole excitation gaps. Chapter 5 presents the results of mean field calculation for the SU(4) symmetric model, which only takes into account the kinetic and long ranged Coulomb interaction. It is shown that Coulomb interactions spontaneous break the SU(4) symmetry. Results of particle-hole excitation within symmetric model is presented. Chapter 6 presents the effects of symmetry breaking terms on the nature of ground states and excitation for the ground states. The role of various symmetry breaking terms in obtaining the SU(4) polarization for the ground states is illustrated. The effects of tilted magnetic field effects on the gaps is shown and connected the present results with those reported in experiments. Chapter 7 presents summary of findings.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Dirac Sea Effects
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Graphene
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term HBNI Th81
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Quantum Hall States
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor R. Shankar
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/366
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Accession Number Uniform Resource Identifier Koha item type
        IMSc Library HBNI Th81 71603 http://www.imsc.res.in/xmlui/handle/123456789/366 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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