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- W1435142023 abstract "Graphene, a single free-standing 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 the density of carriers. We study the ground state of graphene in the presence of a 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 non-integer filling factors 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 non-uniform 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." @default.
- W1435142023 created "2016-06-24" @default.
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- W1435142023 date "2007-03-01" @default.
- W1435142023 modified "2023-09-27" @default.
- W1435142023 title "Wigner crystal and bubble phases in graphene" @default.
- W1435142023 hasPublicationYear "2007" @default.
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