Analysis of the Zeeman effect on the energy spectrum in graphenes

Journal Article · Mon Aug 15 00:00:00 EDT 2011 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776111060069· OSTI ID:22028037

Feng, Sze-Shiang ^[1]; Mochena, Mogus ^[2]

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1. Wright State University, Physics Department (United States)
2. Florida A and M University, Physics Department (United States)

An analysis of the Zeeman effect with a strong external magnetic field on the energy spectrum in graphene is presented. In general, the Hamiltonian of graphene in applied electric and magnetic fields is not of SO(1, 2) invariance even in the nearest-neighbor approximation because of the Zeeman coupling. But an approximate SO(1, 2) invariance can be obtained when the applied magnetic field is very strong. This approximate invariance can be used to relate the energy structure of graphene in the presence of both electric and magnetic fields to that when there is only magnetic field. Therefore, it can help explain the recently found quantum Hall conductance (4q{sup 2}/h)L for L = 0.1.

• OSTI ID: 22028037
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 113, Issue 2; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
77 NANOSCIENCE AND NANOTECHNOLOGY
APPROXIMATIONS
COUPLING
ELECTRIC CONDUCTIVITY
ELECTRIC FIELDS
ENERGY SPECTRA
GRAPHITE
HALL EFFECT
HAMILTONIANS
MAGNETIC FIELDS
NANOSTRUCTURES
SO GROUPS
ZEEMAN EFFECT