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A two-dimensional harmonic oscillator, when rotated by the oscillator frequency, generates Landau-like levels. A further cranking results in condensates and gaps resembling the fractional quantum Hall effect. For a filling fraction…

Condensed Matter · Physics 2007-05-23 R. K. Bhaduri , Shuxi Li , Kaori Tanakaa , J. C. Waddington

Quantum anomalous Hall effect (QAH) is induced by substitution of a certain portion, x, of Bi atoms in a BiTe-based insulating parent compound by magnetic ions (Cr or V). We find the density of in-gap states, N(E), emerging as a result of…

Disordered Systems and Neural Networks · Physics 2016-11-09 Z. Yue , M. E. Raikh

We present activation gap measurements of the fractional quantum Hall effect (FQHE) in the second Landau level. Signatures for 14 (5) distinct incompressible FQHE states are seen in a high (low) mobility sample with the enigmatic 5/2 even…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 H. C. Choi , W. Kang , S. Das Sarma , L. N. Pfeiffer , K. W. West

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

We present an approach to the fractional quantum Hall effect observed in grapheme (GFQHE), basing us on the model developed previously for the fractional quantum Hall effect in a two-dimensional electron system embedded in a quantum well…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 M. A. Hidalgo

We study the fractional quantum Hall effect in a bilayer with charge-distribution imbalance induced, for instance, by a bias gate voltage. The bilayer can either be intrinsic or it can be formed spontaneously in wide quantum wells, due to…

Strongly Correlated Electrons · Physics 2013-10-01 N. Thiebaut , N. Regnault , M. O. Goerbig

The fractional quantum Hall effect was experimentally discovered in 1982. It was observed that the Hall conductivity $\sigma_{yx}$ of a two-dimensional electron system is quantized, $\sigma_{yx}=e^2/3h$, in the vicinity of the Landau level…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 S. A. Mikhailov

It is demonstrated that all observed fractions at moderate Landau level fillings for the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility to have the special…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 S. V. Iordanski , D. S. Lubshin

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

We consider the fractional quantum Hall effect (FQHE) at the filling factor $8/17$, where signatures of incompressibility have been observed in the zeroth Landau level of bilayer graphene. We propose an Abelian state described by the…

Strongly Correlated Electrons · Physics 2024-08-27 Ajit C. Balram , Nicolas Regnault

The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The unique combination of spin, valley, and orbital degeneracies in bilayer graphene is…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 Angela Kou , Benjamin E. Feldman , Andrei J. Levin , Bertrand I. Halperin , Kenji Watanabe , Takashi Taniguchi , Amir Yacoby

We report on our theoretical investigations that point to the possibility of a fractional quantum Hall effect with partial spin polarization at $\nu=3/8$. The physics of the incompressible state proposed here involves p-wave pairing of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , J. K. Jain , E. H. Rezayi

We quantum mechanically analyze the fractional quantum Hall effect in graphene. This will be done by building the corresponding states in terms of a potential governing the interactions and discussing other issues. More precisely, we…

High Energy Physics - Theory · Physics 2011-04-28 Ahmed Jellal , Bellati Malika

We compare quantum Hall systems at filling factor 2 to those at filling factors 2/3 and 2/5, corresponding to the exact filling of two lowest electron or composite fermion (CF) Landau levels. The two fractional states are examples of CF…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Vyborny , O. Certik , D. Pfannkuche , D. Wodzinski , A. Wojs , J. J. Quinn

We directly measure the chemical potential jump in the low-temperature limit when the filling factor traverses the nu = 1/3 and nu = 2/5 fractional gaps in two-dimensional (2D) electron system in GaAs/AlGaAs single heterojunctions. In high…

Strongly Correlated Electrons · Physics 2008-05-15 V. S. Khrapai , A. A. Shashkin , M. G. Trokina , V. T. Dolgopolov , V. Pellegrini , F. Beltram , G. Biasiol , L. Sorba

Motivated by two independent experiments revealing a resistance minimum at the Landau level (LL) filling factor $\nu=2+4/9$, characteristic of the fractional quantum Hall effect (FQHE) and suggesting electron condensation into a yet unknown…

Strongly Correlated Electrons · Physics 2020-08-19 Ajit C. Balram , A. Wójs

We derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 Huabi Zeng

The inter-Landau-level spin excitations of quantum Hall states at filling factors nu=2 and 4/3 are investigated by exact numerical diagonalization for the situation in which the cyclotron (hbar*omega_c) and Zeeman (E_Z) splittings are…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Arkadiusz Wojs , John J. Quinn

In this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions \nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations,…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Simon C. Davenport , Steven H. Simon

Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in the fluxtube-quark system the topology of a baryon consisting three heavy flavor quarks resembles that of the fractional quantum Hall effect (FQHE) in condensed…

High Energy Physics - Phenomenology · Physics 2011-08-31 Hai-Jhun Wanng , W. T. Geng
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