Merging Dirac points and topological phase transitions in the tight-binding model on the generalized honeycomb lattice
نویسندگان
چکیده
منابع مشابه
Honeycomb Lattice Potentials and Dirac Points
In this article we study the spectral properties of the Schrödinger operator HV “ ́Δ ` V pxq, x P R, where the potential, V , is periodic and has honeycomb structure symmetry. For general periodic potentials the spectrum of HV , considered as an operator on LpRq, is the union of closed intervals of continuous spectrum called the spectral bands. Associated with each spectral band are a band dispe...
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We investigate the effect of an in-plane ac electric field coupled to electrons in the honeycomb lattice and show that it can be used to manipulate the Dirac points of the electronic structure. We find that the position of the Dirac points can be controlled by the amplitude and the polarization of the field for high-frequency drivings, providing a new platform to achieve their merging, a topolo...
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The two-dimensional structure of graphene, consisting of an isotropic hexagonal lattice of carbon atoms, shows fascinating electronic properties, such as a gapless energy band and Dirac fermion behavior of electrons at fermi surface. Anisotropy can be induced in this structure by electrochemical pressure. In this article, by using tight-binding method, we review anisotropy effects in the elect...
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The low-energy theory of interacting electrons on graphene's two-dimensional honeycomb lattice is derived and discussed. In particular, the Hubbard model in the large-N limit is shown to have a semimetal-antiferromagnetic insulator quantum critical point in the universality class of the Gross-Neveu model. The same equivalence is conjectured to hold in the physical case N=2, and its consequences...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2012
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.86.165430