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We report on the observation of the quantum Hall effect at high temperatures in HgTe quantum wells with a finite band gap and a thickness below and above the critical thickness $d_\textnormal{c}$ that separates a conventional semiconductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 T. Khouri , M. Bendias , P. Leubner , C. Brüne , H. Buhmann , L. W. Molenkamp , U. Zeitler , N. E. Hussey , S. Wiedmann

The temperature driven flow lines of the Hall and dissipative magnetoconductance data (\sigma_{xy},\sigma_{xx}) are studied in the fractional quantum Hall regime for a 2D electron system in GaAs/Al_{x}Ga_{1-x}As heterostructures. The flow…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. S. Murzin , S. I. Dorozhkin , D. K. Maude , A. G. M. Jansen

Utilizing a novel and exact inversion scheme, we determine the complex linear conductivity $\sigma (\omega )$ from the linear magnetic ac-susceptibility which has been measured from 3\,mHz to 50\,MHz in fields between 0.4\,T and 4\,T…

Condensed Matter · Physics 2009-10-22 J. Kötzler , G. Nakielski , M. Baumann , R. Behr , F. Goerke , E. H. Brandt

We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Amit Agarwal , Diptiman Sen

We consider the conductivity $\sigma_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $\sigma$-model including…

Mesoscale and Nanoscale Physics · Physics 2007-06-18 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Frequency dependent electronic transport is investigated for a two-dimensional disordered system in the presence of a strong perpendicular static magnetic field. The ac-conductivity is calculated numerically from Kubo's linear response…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Bäker , L. Schweitzer

The scaling physics of quantum Hall transport in optimized topological insulators with a plateau precision of ~1/1000 e2/h is considered. Two exponential scaling regimes are observed in temperature-dependent transport dissipation, one of…

We investigate dynamical scaling properties in the integer quantum Hall effect for non-interacting electrons at zero temperature, by means of the frequency-induced peak broadening of the dissipative longitudinal conductivity…

Condensed Matter · Physics 2007-05-23 Y. Avishai , J. M. Luck

We have investigated temperature dependence of the longitudinal conductivity $\sigma_{xx}$ at integer filling factors $\nu =i$ for Si/SiGe heterostructure in the quantum Hall effect regime. It is shown that for odd $i$, when the Fermi level…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Shlimak , V. Ginodman , M. Levin , M. Potemski , D. K. Maude , K. -J. Friedland , D. J. Paul

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 scaling properties of zero temperature conductances at integer quantum Hall plateau transitions in the lowest Landau band of a two-dimensional tight-binding model. Scaling is obeyed for all energy and system sizes with…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiashoa Wang , Qiming Li , C. M. Soukoulis

The quantum Hall regime in a smooth random potential is considered when two disorder-broadened Zeeman levels overlap strongly. Spin-orbit coupling is found to cause a drastic change in the percolation network which leads to a strong…

Condensed Matter · Physics 2016-08-31 D. G. Polyakov , M. E. Raikh

Precision measurements of the Hall effect have been carried out for both archetypal heavy fermion compound - CeCu6 and exemplary solid solutions CeCu6-xAux (x= 0.1 and 0.2) with quantum critical behavior. The experimental results have been…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Sluchanko , V. V. Glushkov , S. V. Demishev , N. A. Samarin , G. S. Burhanov , O. D. Chistiakov , D. N. Sluchanko

We have conducted temperature and frequency dependent transport measurements in amorphous Nb_x Si_{1-x} samples in the insulating regime. We find a temperature dependent dc conductivity consistent with variable range hopping in a Coulomb…

Strongly Correlated Electrons · Physics 2009-11-07 Erik Helgren , George Grüner , Martin Ciofalo , David V. Baxter , John P. Carini

We have revealed from a numerical study that the Hall plateaus are retained in the optical Hall conductivity $\sigma_{xy}(\omega)$ in the ac ($\sim$ THz) regime in both of the ordinary two-dimensional electron gas and graphene in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-03 Takahiro Morimoto , Yasuhiro Hatsugai , Hideo Aoki

To probe the universality class of the quantum Hall system at the metal-insulator critical point, the multifractality of the wave function $\psi$ is studied for higher Landau levels, $N=1,2$, for various range $(\sigma )$ of random…

Condensed Matter · Physics 2009-10-28 Takamichi Terao , Tsuneyoshi Nakayama , Hideo Aoki

Magneto-transport measurements in a clean two-dimensional electron system confined to a wide GaAs quantum well reveal that, when the electrons occupy two electric subbands, the sequences of fractional quantum Hall states observed at high…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. Shabani , Y. Liu , M. Shayegan

We study the low-temperature low-frequency conductivity sigma of an interacting one dimensional electron system in the presence of a periodic potential. The conductivity is strongly influenced by conservation laws, which, we argue, need be…

Strongly Correlated Electrons · Physics 2009-10-31 A. Rosch , N. Andrei

We have studied the conductivity peak in the transition region between the two lowest integer Quantum Hall states using transmission measurements of edge magnetoplasmons. The width of the transition region is found to increase linearly with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. Q. Balaban , U. Meirav , I. Bar-Joseph

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