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The phase diagram of integer quantum Hall effect is numerically determined in the tight-binding model, which can account for overall features of recently obtained experimental phase diagram. In particular, the quantum Hall plateaus are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng

We study the charge transport of the noninteracting electron gas in a two-dimensional quantum Hall system with Anderson-type impurities at zero temperature. We prove that there exist localized states of the bulk order in the…

Mathematical Physics · Physics 2009-11-11 Tohru Koma

The spin-Hall conductivity in spatially-homogeneous two-dimensional electron systems described by the spin-orbit Hamiltonian \hbar \Omega_p \sigma is presented as a sum of the universal part Me/8 \pi \hbar determined by the Berry phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. E. Raichev

Hall conductance $\sigma_{xy}$ as the Chern numbers of the Berry connection in the magnetic Brillouin zone is calculated for a realistic multi band tight-band model of graphene with non-orthogonal basis. It is confirmed that the envelope of…

Mesoscale and Nanoscale Physics · Physics 2015-03-30 M. Arai , Y. Hatsugai

In electrical metrology, the quantum Hall effect is accessed at the Landau level filling factor {\nu} = 2 plateau to define and disseminate the unit of electrical resistance (ohm). The robustness of the plateau is only exhibited at this…

The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Wang-Kong Tse , Zhenhua Qiao , Yugui Yao , A. H. MacDonald , Qian Niu

The direct-current (dc) $\sigma_{xx}^{dc}$ and alternating-current (ac) $\sigma_{xx}^{ac}=\sigma_1-i\sigma_2$ conductivities of a wide (46 nm) GaAs quantum well with the bilayer electron density distribution are measured. It is found that…

Mesoscale and Nanoscale Physics · Physics 2019-12-20 A. A. Dmitriev , I. L. Drichko , I. Yu. Smirnov , A. K. Bakarov , A. A. Bykov

Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

The excess Hall conductivity, resulting from thermal fluctuations of the superconducting order parameter, is calculated for a layered superconductor for an arbitrarily strong in-plane electric field and a perpendicular magnetic field in the…

Superconductivity · Physics 2009-11-10 I. Puica , W. Lang

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek

We investigate the electronic spectra and quantum Hall effect in twisted bilayer graphenes with various rotation angles under magnetic fields, using a model rigorously including the interlayer interaction. We describe the spectral evolution…

Mesoscale and Nanoscale Physics · Physics 2012-05-31 Pilkyung Moon , Mikito Koshino

We measure the longitudinal conductivity $\sigma_{xx}$ at frequencies $1.246 {\rm GHz} \le f \le 10.05$ GHz over a range of temperatures $235 {\rm mK} \le T \le 4.2$ K with particular emphasis on the Quantum Hall plateaus. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. M. Lewis , J. P. Carini

We study the hitherto un-addressed phenomenon of Quantum Hall Effect with a magnetic and electric fields oscillating in time with resonant frequencies. This phenomenon realizes an example of heterodyne device with the magnetic field acting…

Mesoscale and Nanoscale Physics · Physics 2016-11-16 Takashi Oka , Leda Bucciantini

We study an unconventional quantum Hall effect for the surface states of ultrathin Floquet topological insulators in a perpendicular magnetic field. The resulting band structure is modified by photon dressing and the topological property is…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 M. Tahir , P. Vasilopoulos , U. Schwingenschlog

Magnetotransport measurements on two-dimensional electrons confined to wide GaAs quantum wells reveal a remarkable evolution of the ground state at filling factor $\nu=1/2$ as we tilt the sample in the magnetic field. Starting with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Sukret Hasdemir , Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We present an experimental study of mesoscopic, two-dimensional electronic systems at high magnetic fields. Our samples, prepared from a low-mobility InGaAs/InAlAs wafer, exhibit reproducible, sample specific, resistance fluctuations.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Peled , D. Shahar , Y. Chen , D. L. Sivco , A. Y. Cho

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

We investigate a gapped two-dimensional nodal-line semimetal subjected to a perpendicular magnetic field. We identify an unusual pattern for Landau levels, where the energy of Landau levels first decreases and then starts increasing versus…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Shahin Barati , Hamid Rahimpoor , Saeed H. Abedinpour

The quantum Hall effect, which exhibits a number of unusual properties, is studied in a gated 1000-nm-thick HgTe film, nominally a three-dimensional system. A weak zero plateau of Hall resistance, accompanied by a relatively small value of…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 M. L. Savchenko , D. A. Kozlov , S. S. Krishtopenko , N. N. Mikhailov , Z. D. Kvon , A. Pimenov , D. Weiss

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

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