The evaluation of non-topological components in Berry phase and momentum relaxation time in a gapped 3D topological insulator. (26th August 2015)

• Record Type: Journal Article
• Authors: Sengupta, Parijat; Klimeck, Gerhard; Bellotti, Enrico
• Is Part Of: Journal of physics. Volume 27:Number 33(2015)
• Page Start: 3045
• Page End: 57
• Publication Date: 2015-08-26
• Subjects: Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/0953-8984/27/33/335505
• Languages: English
• ISSNs: 0953-8984

Abstract

<abstract> <title>Abstract</title> <p>The zero gap surface states of a 3D-topological insulator host Dirac fermions with spin locked to the momentum. The gap-less Dirac fermions exhibit electronic behaviour different from those predicted in conventional materials. While calculations based on a simple linear dispersion can account for observed experimental patterns, a more accurate description of the physics of these systems and a better agreement between experimental data theoretical results can be obtained by including higher order <inline-formula><tex-math><?CDATA $\vec{k}$ ?></tex-math><?MML <mml:math><mml:mstyle displaystyle='false'><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo>→</mml:mo></mml:mover></mml:mstyle></mml:math> ?><inline-graphic xlink:href="ark:/27927/pgj2j527fhq" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula> terms in the Hamiltonian. In this work, in presence of a time reversal symmetry breaking external magnetic field and higher order warping term, alteration to the topologically ordained Berry phase of <inline-formula><tex-math><?CDATA $(2n+1)\pi $ ?></tex-math><?MML <mml:math><mml:mstyle displaystyle='false'><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mi>π</mml:mi></mml:mstyle></mml:math> ?><inline-graphic xlink:href="ark:/27927/pgj2j527fg5" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula>, momentum relaxation time, and the magneto-conductivity tensors is established. The relation between scattering times and the deviations to topological Berry phase of <inline-formula><tex-math><?CDATA $\pi $ ?></tex-math><?MML <mml:math><mml:mstyle displaystyle='false'><mml:mi>π</mml:mi></mml:mstyle></mml:math> ?><inline-graphic xlink:href="ark:/27927/pgj2j527fbz" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula> is also emphasized.</p> </abstract>