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The quantum Hall effect is widely used for the investigation of fundamental phenomena, ranging from topological phases to composite fermions. In particular, the discovery of a room temperature resistance quantum in graphene is significant…

We study the magnetic field-dependence of the thermal conductivity due to magnetic excitations in frustrated spin-1/2 Heisenberg chains. Near the saturation field, the system is described by a dilute gas of weakly-interacting fermions…

Strongly Correlated Electrons · Physics 2019-04-17 Jan Stolpp , Shang-Shun Zhang , Fabian Heidrich-Meisner , Cristian D. Batista

Based on a thermodynamic approach, we have calculated the resistivity of a 2D electron gas, assumed $dissipationless$ in a strong quantum limit. Standard measurements, with extra current leads, define the resistivity caused by a combination…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. V. Cheremisin

Utilizing a novel carbon doping source, we prepared two-dimensional hole gases in a symmetric quantum well structure in the GaAs/AlGaAs heterosystem. Low temperature hole mobilities up to 1.2 x 10^6 cm^2/Vs at a density of 2.3 x 10^11 cm^-2…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Gerl , S. Schmult , H. - P. Tranitz , C. Mitzkus , W. Wegscheider

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

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

Magneto-transport measurements are performed on two-dimensional GaAs electron systems to probe the quantum Hall (QH) effect at low magnetic fields. Oscillations following the Shubnikov-de Haas (SdH) formula are observed in the transition…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Shun-Tsung Lo , Yi-Ting Wang , G Bohra , E Comfort , T-Y Lin , M-G Kang , G Strasser , J P Bird , C F Huang , Li-Hung Lin , J C Chen , C-T Liang

In this work an application of the $\kappa$--deformed algebra in condensed matter physics is presented. Starting by the $\kappa$--deformed Dirac equation we study the relativistic generalization of the $\kappa$--deformed Landau levels as…

High Energy Physics - Theory · Physics 2016-12-14 Fabiano M. Andrade , Edilberto O. Silva , Denise Assafrão , Cleverson Filgueiras

It is well known that conductivity of disordered metals is suppressed in the limit of low frequencies and temperatures by quantum corrections. Although predicted by theory to exist up to much higher energies, such corrections have so far…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 P. Neilinger , J. Greguš , D. Manca , B. Grančič , M. Kopčík , P. Szabó , P. Samuely , R. Hlubina , M. Grajcar

We show that, at low temperatures, macroscopic inhomogeneities of the electron density in the interior of a finite sample cause a reduction in the measured conductivity peak heights $\sigma_{xx}^{\rm max}$ compared to the universal values…

Condensed Matter · Physics 2009-10-28 I. M. Ruzin , N. R. Cooper , B. I. Halperin

We report the observation of a fully developed fractional quantum Hall state at $\nu=5/2$ in GaAs/Al$_{x}$Ga$_{1-x}$As quantum wells with mobility well below $10^{7}$\thinspace cm$^{2}$/Vs. This is achieved either by strong illumination or…

Mesoscale and Nanoscale Physics · Physics 2013-08-21 Gerardo Gamez , Koji Muraki

We analyze the conductance fluctuations observed in the quantum Hall regime for a bulk two-dimensional electron system in a Corbino geometry. We find that characteristics like the power spectral density and the temperature dependence agree…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Hohls , U. Zeitler , R. J. Haug

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

For the fractional quantum Hall states on a finite disc, we study the thermoelectric transport properties under the influence of an edge and its reconstruction. In a recent study on a torus [Phys. Rev. B 101, 241101 (2020)], Sheng and Fu…

Strongly Correlated Electrons · Physics 2021-06-30 Zi-Yi Fang , Dan Ye , Yu-Yu Zhang , Zi-Xiang Hu

Topological states of matter are characterized by topological invariant, which are physical quantities whose values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Mitali Banerjee , Moty Heiblum , Vladimir Umansky , Dima E. Feldman , Yuval Oreg , Ady Stern

The Hall conductivity $\sigma_{\rm xy}$ of a two-dimensional electron system is quantized in units of $e^2/h$ when the Fermi level is located in the mobility gap between two Landau levels. We consider the deviation of $\sigma_{\rm xy}$ from…

Condensed Matter · Physics 2009-10-22 M. M. Fogler , B. I. Shklovskii

The cross-over from quasi-two- to quasi-one-dimensional electron transport subject to transverse electric fields and perpendicular magnetic fields are studied in the diffusive to quasiballistic and zero-field to quantum Hall regime.…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Olivio Chiatti , Johannes Boy , Christian Heyn , Wolfgang Hansen , Saskia F. Fischer

Experimental studies of the transitions from a primary quantum Hall (QH) liquid at filling factor 1/k (with k an odd integer) to the insulator have indicated a ``quantized Hall insulator'' (QHI) behavior: while the longitudinal resistivity…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Efrat Shimshoni

We have studied experimentally the low temperature conductivity of mesoscopic size InAs/GaSb quantum well Hall bar devices in the inverted regime. Using a pair of electrostatic gates we were able to move the Fermi level into the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Ivan Knez , R. R. Du , Gerard Sullivan

The resistivity $\rho$ of high mobility dilute 2D holes in GaAs exhibits a peak at a certain temperature $T^*$ in zero magnetic field($B$=0). In the $T>T^*$ regime where d$\rho$/d$T<$0, we observe for the first time both the $\nu=1$ quantum…

Strongly Correlated Electrons · Physics 2007-05-23 Xuan P. A. Gao , A. P. Mills , A. P. Ramirez , L. N. Pfeiffer , K. W. West
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