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We review the scaling theory of disordered itinerant electrons with e-e interactions. We first show how to adjust the microscopic Fermi-liquid theory to the presence of disorder. Then we describe the non-linear sigma model (NLSM) with…

Strongly Correlated Electrons · Physics 2023-03-07 A. M. Finkel'stein , G. Schwiete

We study transport properties of weakly interacting spinless electrons in one-dimensional single channel quantum wires. The effects of interaction manifest as three-particle collisions due to the severe constraints imposed by the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Alex Levchenko , Zoran Ristivojevic , Tobias Micklitz

The effect of substrate bias and surface gate voltage on the low temperature resistivity of a Si-MOSFET is studied for electron concentrations where the resistivity increases with increasing temperature. This technique offers two degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Lewalle , M. Pepper , C. J. B. Ford , E. H. Hwang , S. Das Sarma , D. J. Paul , G. Redmond

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

We calculate the thermal conductivity of interacting electrons in disordered metals. In our analysis we point out that the interaction affects thermal transport through two distinct mechanims, associated with quantum interference…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Giorgio Savona , Peter Schwab , Thomas Lueck

An unusual increase of the conductance with temperature is observed in clean quantum point contacts for conductances larger than 2e^2/h. At the same time a positive magnetoresistance arises at high temperatures. A model accounting for…

Mesoscale and Nanoscale Physics · Physics 2011-01-25 Vincent Thomas Francois Renard , O. A. Tkachenko , V. A. Tkachenko , T. Ota , N. Kumada , J. -C. Portal , Y. Hirayama

A simple lattice model of a solid electrolyte presented as a xy-slab geometry system of mobile cations on a background of energetic landscape of the host system and a compensating field of uniformly distributed anions is studied. The system…

Statistical Mechanics · Physics 2019-03-14 T. Patsahan , G. Bokun , D. di Caprio , M. Holovko , V. Vikhrenko

The effects of the electron-electron interactions in a graphene layer are investigated. It is shown that short range couplings are irrelevant, and scale towards zero at low energies, due to the vanishing of density of states at the Fermi…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

The advancement of fabrication and lithography techniques of semiconductors have made it possible to study bi-layer systems made of two electronic layers separated by distances of several hundred Angstroms. In this situation the electrons…

Strongly Correlated Electrons · Physics 2009-10-31 A. G. Rojo

The strong correlation effects on topological insulator are studied in a two-sublattice system with an onsite single-particle energy difference $\Delta$ between two sublattices. At $\Delta=0$, increasing the onsite interaction strength $U$…

Strongly Correlated Electrons · Physics 2010-11-25 Xiong-Jun Liu , Yang Liu , Xin Liu

A scaling relation of the anomalous Hall effect recently found in a ferromagnetic semiconductor (Ti,Co)O_2_ is compared with those of various ferromagnetic semiconductors and metals. Many of these compounds with relatively low conductivity…

We consider a model for a two dimensional electron gas moving on a kagom\'{e} lattice and locally coupled to a chiral magnetic texture. We show that the transverse conductivity $\sigma\_{xy}$ does not vanish even if spin-orbit coupling is…

Strongly Correlated Electrons · Physics 2009-11-11 Mathieu Taillefumier , Benjamin Canals , Claudine Lacroix , Vitalii Dugaev , Patrick Bruno

We study an electron interferometer formed with a quantum point contact and a scanning probe tip in a two-dimensional electron gas. The images giving the conductance as a function of the tip position exhibit fringes spaced by half the Fermi…

Mesoscale and Nanoscale Physics · Physics 2012-08-29 Adel Abbout , Gabriel Lemarié , Jean-Louis Pichard

We report the electrical transport properties for Weyl semimetal TaAs in an intense magnetic field. Series of anomalies occur in the longitudinal magnetoresistance and Hall signals at ultra-low temperatures when the Weyl electrons are…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 Cheng-Long Zhang , Bingbing Tong , Zhujun Yuan , Ziquan Lin , Junfeng Wang , Jinglei Zhang , Chuan-Ying Xi , Zhong Wang , Shuang Jia , Chi Zhang

Using low-temperature scanning tunneling spectroscopy applied to the Cs-induced two-dimensional electron system (2DES) on p-type InSb(110), we probe electron-electron interaction effects in the quantum Hall regime. The 2DES is decoupled…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 S. Becker , C. Karrasch , T. Mashoff , M. Pratzer , M. Liebmann , V. Meden , M. Morgenstern

We investigate a one--dimensional wire of interacting electrons connected to one--dimensional noninteracting leads in the absence and in the presence of a backscattering potential. The ballistic wire separates the charge and spin parts of…

Strongly Correlated Electrons · Physics 2009-10-31 Inès Safi , H. J. Schulz

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

In high-quality solid-state systems at low temperatures, the hydrodynamic or the ballistic regimes of heat and charge transport are realized in the electron and the phonon systems. In these regimes, the thermal and the electric conductance…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 P. S. Alekseev , M. A. Semina

We study point-contact tunneling in the integer quantum Hall state of bosons. This symmetry-protected topological state has electrical Hall conductivity equal to $2 e^2/h$ and vanishing thermal Hall conductivity. In contrast to the integer…

Strongly Correlated Electrons · Physics 2014-07-24 Michael Mulligan , Matthew P. A. Fisher

The increase in the resistivity with decreasing temperature followed by a drop by more than one order of magnitude is observed on the metallic side near the zero-magnetic-field metal-insulator transition in a strongly interacting…