Searching for the Fractional Quantum Hall Effect in Graphite

Kopelevich, Y.; Raquet, Bertrand; Goiran, M.; Escoffier, Walter; Silva, Robson R. da; Pantoja, J. C. Medina; Luk’yanchuk, I.; Синченко, А. А.; Monçeau, P.

doi:10.1103/physrevlett.103.116802

Cited by 36 publications

(39 citation statements)

References 43 publications

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“…Our pattern for FQHE Fig. (11) resembles the one obtained by Kopelevich in Fig.3 [32] which has been explained using the fractional filling factor of Halperin [33]. The somewhat regular pattern behind the irregular behavior can be understood as a consequence of the appearance of a new energy scale: the average distance between the Fermi levels.…”

Section: Fractional Quantum Hall Effectsupporting

confidence: 82%

Holographic Description of Strongly Correlated Electrons in External Magnetic Fields

Gubankova

Brill

Čubrović

et al. 2013

Strongly Interacting Matter in Magnetic Fields

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We study the Fermi level structure of 2 + 1-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the background of the dyonic AdS-Reissner-Nordström black hole. In the probe limit the magnetic system can be reduced to the non-magnetic one, with Landau-quantized momenta and rescaled thermodynamical variables. We find that at strong enough magnetic fields, the Fermi surface vanishes and the quasiparticle is lost either through a crossover to conformal regime or through a phase transition to an unstable Fermi surface. In the latter case, the vanishing Fermi velocity at the critical magnetic field triggers the non-Fermi liquid regime with unstable quasiparticles and a change in transport properties of the system. We associate it with a metal-"strange metal" phase transition. We compute the DC Hall and longitudinal conductivities using the gravity-dressed fermion propagators. As expected, the Hall conductivity is quantized according to integer Quantum Hall Effect (QHE) at weak magnetic fields. At strong magnetic fields, new plateaus typical for the fractional QHE appear. Our pattern closely resembles the experimental results on graphite which are described using the fractional filling factor proposed by Halperin.

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Section: Fractional Quantum Hall Effectsupporting

confidence: 82%

Holographic Description of Strongly Correlated Electrons in External Magnetic Fields

Gubankova

Brill

Čubrović

et al. 2013

Strongly Interacting Matter in Magnetic Fields

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show abstract

“…Recently, exciting experimental progresses have been made in graphite and Bismuth 32,33 , where plateaus of transport measurement were found beyond the quantum limit, defined to be the magnetic field strength at which all electrons go into the lowest Landau band. Beyond quantum limit the system should be featureless within single-particle description.…”

Section: Field Induced Charge-density-wave At Pinned Wavevectormentioning

confidence: 99%

Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates

2011

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There have been lots of interest in pyrochlore Iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent LDA calculation 1 suggests that the system is likely in a novel three dimensional topological semi-metallic phase: a Weyl semi-metal. Such a system has zero carrier density and arrives at the quantum limit even in a weak magnetic field. In this paper we discuss two novel quantum effects of this system in a magnetic field: a pressure-induced anomalous Hall effect and a magnetic field induced charge density wave at the pinned wavevector connecting Weyl nodes with opposite chiralities. A general formula of the anomalous hall coefficients in a Weyl semi-metal is also given. Both proposed effects can be probed by experiments in the near future, and can be used to detect the Weyl semi-metal phase.

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“…Another interesting problem is the evolution of the energy spectrum under the influence of both electric and magnetic field, especially if the last one exceeds the quantum limit. Generalization of obtaining results for the multilayer carbon clusters can possibly be useful to explain the unconventional tiny magnetic properties of graphite in the ultra-quantum regime [26].…”

Section: Discussionmentioning

confidence: 98%

Tuning of zero energy states in quantum dots of Silicene and bilayer graphene by electric field

Abdelsalam

Espinosa-Ortega

Luk’yanchuk

2015

Superlattices and Microstructures

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Electronic properties of triangular and hexagonal nano-scale quantum dots (QDs) of Silicene and bilayer graphene are studied. It is shown that the low-energy edge-localized electronic states, existing within the size-quantized gap are easily tunable by electric field. The appearance and field evolution of the electronic gap in these zero energy states (ZES) is shown to be very sensitive to QD geometry that permits to design the field-effect scalable QD devices with electronic properties on-demand.

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Searching for the Fractional Quantum Hall Effect in Graphite

Cited by 36 publications

References 43 publications

Holographic Description of Strongly Correlated Electrons in External Magnetic Fields

Holographic Description of Strongly Correlated Electrons in External Magnetic Fields

Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates

Tuning of zero energy states in quantum dots of Silicene and bilayer graphene by electric field

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