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PhysRevB.99.045409.pdf4287KbAdobe PDF見る/開く
タイトル :Energy quantization at the three-quarter Dirac point in a magnetic field
著者 :Hasegawa, Yasumasa
Kishigi, Keita
刊行年月日 :2019-1-8
収録雑誌名 :Physical Review B
巻 :99
号 :4
開始ページ :045409-1
終了ページ :045409-10
要約(Abstract) :The quantization of the energy in a magnetic field (Landau quantization) at a three-quarter Dirac point is studied theoretically. The three-quarter Dirac point is realized in the system of massless Dirac fermions with the critically tilted Dirac cone in one direction, where a linear term disappears and a quadratic term α2q2x with a constant α2 plays an important role. The energy is obtained as En∝α352(nB)45, where n=1,2,3,⋯, by means of numerically solving the differential equation. The same result is obtained analytically by adopting an approximation. The result is consistent with the semiclassical quantization rule studied previously. The existence of the n=0 state is studied by introducing the energy gap due to the inversion-symmetry-breaking term, and it is obtained that the n=0 state exists in one of a pair of three-quarter Dirac points, depending on the direction of the magnetic field when the energy gap is finite.
URL :https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.045409
収録種別 :雑誌掲載論文
ISSN :24699950
出版社(者) :American Physical Society
権利(Rights) :©2019 American Physical Society
URI :http://hdl.handle.net/2298/41528
このアイテムの引用には次の識別子を使用してください: http://hdl.handle.net/2298/41528