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To probe the nature of the even-fraction quantum Hall system, we have investigated the low-lying excitation spectrum by means of exact diagonalization for finite systems. We have found (i) a striking one-to-one correspondence (i.e., a shell…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Masaru Onoda , Takahiro Mizusaki , Takaharu Otsuka , Hideo Aoki

An effort is made to understand the phenomenological composite fermion model of the quantum Hall effect. The odd denominators are composed by adding plus minus 1 to the even numbers 2, 4, 6 and 8. Although the denominators are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We present a theory of composite fermion edge states and their transport properties in the fractional and integer quantum Hall regimes. We show that the effective electro-chemical potentials of composite fermions at the edges of a Hall bar…

Condensed Matter · Physics 2009-10-28 George Kirczenow , Brad L. Johnson

The results of an experimental study of interaction quantum correction to the conductivity of two-dimensional electron gas in A$_3$B$_5$ semiconductor quantum well heterostructures are presented for a wide range of $T\tau$-parameter…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , A. A. Sherstobitov , A. V. Germanenko , O. E. Rut , V. A. Larionova , A. K. Bakarov , B. N. Zvonkov

The 5/2 fractional quantum Hall effect in the second Landau level of extremely clean two-dimensional electron gases has attracted much attention due to its topological order predicted to host quasiparticles that obey non-Abelian quantum…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 M. Petrescu , Z. Berkson-Korenberg , Sujatha Vijayakrishnan , K. W. West , L. N. Pfeiffer , G. Gervais

We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the…

Strongly Correlated Electrons · Physics 2019-03-11 Yinhan Zhang , Junren Shi

We study the diffusion and thermal conductivity of charged particles in the weakly ionized plasma with the power-law q-distributions in nonextensive statistics and without the magnetic field. Electrons and ions have different q-parameters…

Plasma Physics · Physics 2019-03-19 Xiaoxue Ji , Jiulin Du

We extend the thermodynamic approach for the description of the thermal Hall effect in the vicinity of a superconducting phase transition, in the fluctuation dominated regime. We show that the Hall heat conductivity is proportional to the…

Superconductivity · Physics 2020-11-25 A. V. Kavokin , Y. M. Galperin , A. A. Varlamov

We develop a systematic theory of the Hall effect in Q1D conductors in both weak and strong magnetic fields for a model where the electron relaxation time varies over the Fermi surface. At high temperatures, the Hall coefficient saturates…

Condensed Matter · Physics 2007-05-23 Victor M. Yakovenko , Anatoley T. Zheleznyak

We consider Coulomb blockade oscillations of thermoelectric coefficients of a single electron transistor based on a quantum dot strongly coupled to one of the leads. Analytic expression for the thermopower as a function of temperature $T$…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Andreev , K. A. Matveev

Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the…

Statistical Mechanics · Physics 2009-11-11 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hänggi

A theory of thermohydrodynamics in two-dimensional electron systems in quantizing magnetic fields is developed including a nonlinear transport regime. Spatio-temporal variations of the electron temperature and the chemical potential in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Akera , Hidekatsu Suzuura

The thermal Hall conductance is a universal and topological property which characterizes the fractional quantum Hall (FQH) state. The quantized value of the thermal Hall conductance has only recently been measured experimentally in integer…

Strongly Correlated Electrons · Physics 2019-04-22 Amit Aharon-Steinberg , Yuval Oreg , Ady Stern

Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this note we study the effects of exclusion statistics on thermal activation of quasiparticle pairs in the approximation of…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 J. Shiraishi , M. Kohmoto , Y. S. Wu

Quantum dots are an important model system for thermoelectric phenomena, and may be used to enhance the thermal-to-electric energy conversion efficiency in functional materials. It is therefore important to obtain a detailed understanding…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 S. Fahlvik Svensson , A. I. Persson , E. A. Hoffmann , N. Nakpathomkun , H. A. Nilsson , H. Q. Xu , L. Samuelson , H. Linke

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

In this work we solve thermo-hydrodynamical equations considering a two dimensional electron system in the integer quantum Hall regime, to calculate the spatial distribution of the local electron temperature. We start from the…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 N. Boz Yurdaşan , K. Akgüngör , A. Siddiki , İ. Sökmen

We calculate the thermopower of a quantum dot described by two doublets hybridized with two degenerate bands of two conducting leads, conserving orbital (band) and spin quantum numbers, as a function of the temperature $T$ and a splitting…

Strongly Correlated Electrons · Physics 2012-10-23 P. Roura-Bas , L. Tosi , A. A. Aligia , P. S. Cornaglia

Using the conformal field theory partition function of a Coulomb-blockaded quantum dot, constructed by two quantum point contacts in a Laughlin quantum Hall bar, we derive the finite-temperature thermodynamic expression for the thermopower…

Strongly Correlated Electrons · Physics 2014-06-24 Lachezar S. Georgiev

We consider the conductivity tensor for composite fermions in a close to half-filled Landau band in the temperature regime where the scattering off the potential and the trapped gauge field of random impurities dominates. The Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. D. Mirlin , P. Woelfle