2007/03/31 by C. -H. Zhang, C.-H. Zhang, Yogesh N. Joglekar · 2 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.other
paper · pdf · doi:10.1103/physrevb.75.245414
published as Phys. Rev. B 75, 245414 (2007) · New references added; 9 pages, 9 figures, (paper with high-resolution images is available at http://www.physics.iupui.edu/yogesh/graphene.pdf)
arxiv created 2007/04/09 · openalex publication_date 2007/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Graphene, a single freestanding sheet of graphite with honeycomb lattice structure, is a semimetal with carriers that have linear dispersion. A consequence of this dispersion is the absence of Wigner crystallization in graphene, since the kinetic and potential energies both scale identically with density of carriers. We study the ground state of graphene in the presence of strong magnetic field focusing on states with broken translational symmetry. Our mean-field calculations show that at integer fillings a uniform state is preferred, whereas at noninteger fillings, Wigner crystal states (with broken translational symmetry) have lower energy. We obtain the phase diagram of the system. We find that it is qualitatively similar to that of quantum Hall systems in semiconductor heterostructures. Our analysis predicts that nonuniform states, including Wigner crystal state, will occur in graphene in the presence of a magnetic field and will lead to anisotropic transport in high Landau levels.