Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields

KURU, ŞENGÜL; Negro, J.; Nieto, L.

doi:10.1088/0953-8984/21/45/455305

Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields

Atıf İçin Kopyala

KURU Ş., Negro J., Nieto L. M.

JOURNAL OF PHYSICS-CONDENSED MATTER, cilt.21, sa.45, 2009 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 21 Sayı: 45
Basım Tarihi: 2009
Doi Numarası: 10.1088/0953-8984/21/45/455305
Dergi Adı: JOURNAL OF PHYSICS-CONDENSED MATTER
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Ankara Üniversitesi Adresli: Evet

Özet

Exact analytical solutions for the bound states of a graphene Dirac electron in various magnetic fields with translational symmetry are obtained. In order to solve the time-independent Dirac-Weyl equation the factorization method used in supersymmetric quantum mechanics is adapted to this problem. The behavior of the discrete spectrum, probability and current densities are discussed.