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Magnetic field driven metal-insulator phase transition in planar systems
Open accessAbstract
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.
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Citations
Cited by
Geim, A. K., & Novoselov, K. S. (2007) · Nature Materials · doi:10.1038/nmat1849 · Cited by 39,979
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
“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).”
BackgroundElectronic properties of disordered two-dimensional carbon
Peres, N. M. R., Guinea, F., & Castro Neto, A. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.125411 · Cited by 1,445
Unconventional Integer Quantum Hall Effect in Graphene
Gusynin, V. P., & Sharapov, S. G. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146801 · Cited by 1,374
Self-citationProperties of graphene: a theoretical perspective
Abergel, D. S. L., Apalkov, V., Berashevich, J., Ziegler, K., & Chakraborty, T. (2010) · Advances in Physics · doi:10.1080/00018732.2010.487978 · Cited by 1,152
Metadata
- Authors
- Gorbar, E. V., Gusynin, V. P., Miransky, V. A., & Shovkovy, I. A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2002-07-22
- Volume
- 66
- Issue
- 4
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2011918196
- Cited by
- 439
- References
- 0
- FWCI
- 5.15
- Type
- journal article
- Language
- en
- Open access
- green
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- Gorbar, E. V., Gusynin, V. P., Miransky, V. A., & Shovkovy, I. A. (2002). Magnetic field driven metal-insulator phase transition in planar systems. Physical Review B. https://doi.org/10.1103/physrevb.66.045108
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