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The influence of Coulomb interaction on transport properties of spinless electrons in small disordered two dimensional systems is studied within a tight binding model. Spatial correlations, inverse participation ratio, and multifractal…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Richard Berkovits , Jan W. Kantelhardt , Yshai Avishai , Shlomo Havlin , Armin Bunde

We show that certain three-dimensional multigap topological insulators can host quantized integrated shift photoconductivities due to bulk invariants that are defined under reality conditions imposed by additional symmetries. We recast the…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Wojciech J. Jankowski , Robert-Jan Slager

Strong correlation effects, such as a dramatic increase in the effective mass of the carriers of electricity, recently observed in the low density electron gas have provided spectacular support for the existence of a sharp metal-insulator…

Strongly Correlated Electrons · Physics 2009-11-13 A. Camjayi , K. Haule , V. Dobrosavljevic , G. Kotliar

Strong electronic correlations can produce remarkable phenomena such as metal-insulator transitions and greatly enhance superconductivity, thermoelectricity, or optical non-linearity. In correlated systems, spatially varying charge textures…

The effect of spin-orbit interaction on electron transport properties of a cross-junction structure is studied. It is shown that it results in spin polarization of left and right outgoing electron waves. Consequently, incoming electron wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. N. Bulgakov , K. N. Pichugin , A. F. Sadreev , P. Středa , P. Šeba

The quantum Hall effect is generally understood for free electron gases, in which topologically protected edge states between Landau levels (LLs) form conducting channels at the edge of the sample. In periodic crystals, the LLs are…

Strongly Correlated Electrons · Physics 2020-03-26 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

Physical systems with non-trivial topological order find direct applications in metrology[1] and promise future applications in quantum computing[2,3]. The quantum Hall effect derives from transverse conductance, quantized to unprecedented…

Atomic Physics · Physics 2019-05-09 Dina Genkina , Lauren M. Aycock , Hsin-I Lu , Alina M. Pineiro , Mingwu Lu , I. B. Spielman

Long range Coulomb interaction between the edges of a Hall bar changes the nature of the gapless edge excitations. Instead of independent modes propagating in opposite directions on each edge as expected for a short range interaction one…

Condensed Matter · Physics 2009-10-28 Dror Orgad , Shimon Levit

The integer quantum Hall effect can be observed in a two-dimensional conductor penetrated by a perpendicular magnetic field and with edges connecting the current carrying contacts. Its signature is a state of quantized Hall and…

Mesoscale and Nanoscale Physics · Physics 2025-06-19 Serkan Sirt , Vladimir Y. Umansky , Afif Siddiki , Stefan Ludwig

We have performed low-temperature transport measurements on a disordered two-dimensional electron system (2DES). Features of the strong localization leading to the quantum Hall effect are observed after the 2DES undergoes a direct…

Recent developments in the scaling theory of the integer quantum Hall effect are discussed. In particular, the influence of electron-electron interactions on the critical behavior are studied. It is further argued that recent experiments on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus

The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor F. Herbut

Magnetotransport through cylindrical topological insulator (TI) nanowires is governed by the interplay between quantum confinement and geometric (Aharonov-Bohm and Berry) phases. Here, we argue that the much broader class of TI nanowires…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Raphael Kozlovsky , Ansgar Graf , Denis Kochan , Klaus Richter , Cosimo Gorini

We study transport properties of the helical edge states of two-dimensional integer and fractional topological insulators via double constrictions. Such constrictions couple the upper and lower edges of the sample, and can be made and tuned…

Strongly Correlated Electrons · Physics 2013-09-25 Chia-Wei Huang , Sam T. Carr , Dmitri Gutman , Efrat Shimshoni , Alexander D. Mirlin

We have measured magnetotransport of the two-dimensional electron gas in a Hall bar geometry in the presence of small carrier density gradients. We find that the longitudinal resistances measured at both sides of the Hall bar interchange by…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 L. A. Ponomarenko , D. T. N. de Lang , A. de Visser , V. A. Kulbachinskii , G. B. Galiev , H. Künzel , A. M. M. Pruisken

The Quantum Spin Hall insulator is characterized by the presence of gapless helical edge states where the spin of the charge carriers is locked to their direction of motion. In order to probe the properties of the edge modes, we propose a…

Strongly Correlated Electrons · Physics 2013-01-14 Roni Ilan , Jérôme Cayssol , Jens H. Bardarson , Joel E. Moore

In the transport studies of topological insulators, microflakes exfoliated from bulk single crystals are often used because of the convenience in sample preparation and the accessibility to high carrier mobilities. Here, based on finite…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 Fan Gao , Yongqing Li

We theoretically study the single electron transfer through two-terminal quantum ring capacitively coupled to charged dot placed in its center. For this purpose we solve time-dependent Schrodinger equation for fully correlated two-particle…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 T. Chwiej , K. Kutorasinski

Time-reversal symmetric topological insulator is a novel state of matter that a bulk-insulating state carries dissipationless spin transport along the surfaces, embedded by the $Z_2$ topological invariant. In the noninteracting limit, this…

Strongly Correlated Electrons · Physics 2015-03-12 Hsin-Hua Lai , Hsiang-Hsuan Hung

Tunneling of electrons into a two-dimensional electron system is known to exhibit an anomaly at low bias, in which the tunneling conductance vanishes due to a many-body interaction effect. Recent experiments have measured this anomaly…

Strongly Correlated Electrons · Physics 2018-07-02 Debanjan Chowdhury , Brian Skinner , Patrick A. Lee