Magnetic field driven metal insulator phase transition in planar systems

By E. Gorbar, Valery P. Gusynin, V. A. Miransky, I. Shovkovy. 2002

282 citations recorded by the source corpus.

A theory of the magnetic field driven (semi)metal-insulator phase transition is developed for planar systems with a low density of carriers and a linear (i.e., relativisticlike) dispersion relation for low-energy quasiparticles. The general structure of the phase diagram of the theory with respect to the coupling constant, the chemical potential, and the temperature is derived in two cases, with and without an external magnetic field. The conductivity and resistivity as functions of temperature and magnetic field are studied in detail. An exact relation for the value of the ``offset'' magnetic field ${B}_{c},$ determining the threshold for the realization of the phase transition at zero temperature, is established. The theory is applied to the description of a recently observed phase transition induced by a magnetic field in highly oriented pyrolytic graphite.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Geophysics

View Paper: https://www.semanticscholar.org/paper/de8cbcd634531952f5fcc92029f55cf3df45a935

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Citations in the corpus

The electronic properties of graphene (2007, background): “If we however negle t the real part of the self-energy, assume for ImΣi(ω) = Γ (i = 1, 2) a onstantvalue, and onsider that E(1, 1) ≫ Γ, these results re-du e to those of (Gorbar et al., 2002).”
Electronic properties of graphene in a strong magnetic field (2010, background): “An alternative scenario proposed for the degeneracy lifting in n = 0 is that of the magnetic catalysis (Ezawa, 2007; Gorbar et al., 2008; Gusynin et al., 2006; Herbut, 2007b, 2008), which was discussed even before the discovery of graphene (Gorbar et al., 2002; Khveshchenko, 2001).”
The rise of graphene. (2007, background): “The concepts of chirality and pseudospin are important because many electronic processes in graphene can be understood as due to conservation of these quantities.(6,42-47) It is interesting to note that in some narrow-gap 3D semiconductors, the gap can be closed by compositional changes or by applyi”
Dirac cones reshaped by interaction effects in suspended graphene (vol 7, pg 701, 2011) (2011, background): “This should result in considerable changes in graphene’s linear spectrum, and even more dramatic scenarios, including the opening of an energy gap, have also been propose”
Dyadic Green's Functions for an Anisotropic, Non-Local Model of Biased Graphene (2008, background): “This gap is opened due to electron interactions in the presence of a magnetic field [30], [31], and can play a significant role at low temperatures [25].”
Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction (2007, background): “[21, 22] is not systematic at small N , and also neglects the frequency dependence in the photon propagator.”
Magnetic Catalysis: A Review (2012, background): “As for the half-integer shift in the filling factor, it is directly connected with the Dirac nature of quasiparticles [170, 112, 124, 123, 88].”
Broken-Symmetry States and Divergent Resistance in Suspended Bilayer Graphene (2009, background): “The linear dependence of Δ on B is qualitatively different from what is expected for quantum Hall ferromagnetism and magnetic catalysis, which both predic”