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We model an interacting quantum dot of electrons by a Hamiltonian with random and all-to-all single particle hopping (of r.m.s. strength $t$) and two-particle interactions (of r.m.s. strength $J$). For $t \ll J$, such a model has a regime…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Laurel E. Anderson , Philip Kim , Subir Sachdev

Thermal conductance has emerged as a powerful probe of topological order in the quantum Hall effect and beyond. The interpretation of experiments crucially depends on the ratio of the sample size and the equilibration length, on which…

Mesoscale and Nanoscale Physics · Physics 2020-07-07 Ken K. W. Ma , D. E. Feldman

By using the generalized Boltzmann equation of transport in nonextensive statistics, we study transport properties of the diffusion flux and the heat flux of charged particles in the weakly ionized plasma with the power-law q-distributions…

Plasma Physics · Physics 2020-03-06 Yue Wang , Jiulin Du

In a previous paper (Paper I) we developed a technique for exactly solving the linearized Boltzmann equation for the electrical and thermal transport coefficients in metals in the low-temperature limit. Here we adapt this technique to…

Statistical Mechanics · Physics 2021-01-04 J. Amarel , D. Belitz , T. R. Kirkpatrick

We derive asymptotically exact expressions for the thermopower and figure of merit of a quantum impurity connecting two noninteracting leads in the linear response regime where the chemical potential and temperature differences between the…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Edward Taylor , Dvira Segal

Transport and the approach to equilibrium in interacting classical and quantum systems is a challenging problem of both theoretical and experimental interest. One useful organizing principle characterizing equilibration is the dissipative…

Statistical Mechanics · Physics 2024-08-27 Alexios A. Michailidis , Dmitry A. Abanin , Luca V. Delacrétaz

A semiclassical approach that incorporates quantum mechanical behavior of heat capacity in direct caloric effect simulations is proposed. Application of this methodology to study electrocaloric effect in prototypical ferroelectrics ${ \rm…

Computational Physics · Physics 2017-12-27 P. Jouzdani , S. Cuozzo , S. Lisenkov , I. Ponomareva

Theoretical analysis of the effect of thermoelectric phenomena on the relation of effective electrical and thermal conductivity in the macroscopically inhomogeneous media is carried out. Plane-layered structures, two-dimensional self-dual…

Materials Science · Physics 2011-09-09 A. A. Snarskii , M. I. Zhenirovskii , I. V. Bezsudnov

We analyze thermal transport in the fractional quantum Hall effect (FQHE), employing a Luttinger liquid model of edge states. Impurity mediated inter-channel scattering events are incorporated in a hydrodynamic description of heat and…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

Thermal properties of quantum fields at finite temperature are crucial to understanding strongly interacting matter and recent development in quantum computing has provided an alternative and promising avenue of study. In this work, we…

High Energy Physics - Phenomenology · Physics 2024-07-23 Wenyang Qian , Bin Wu

Superconductivity and the normal state electrical resistivity which varies as $T^2$ are strongly enhanced near the compressibility and charge density wave instabilities in the electron-positive fermion gas. The additional screening from the…

Superconductivity · Physics 2024-11-26 Carl A. Kukkonen

We study the effect of electron-electron interaction on the transport properties of short clean quantum wires adiabatically connected to reservoirs. Interactions lead to resonances in a multi-channel wire at particular values of the Fermi…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Anders Mathias Lunde , Karsten Flensberg , Leonid I. Glazman

The amount of heat an integer quantum Hall edge state can carry in equilibrium is quantized in universal units of the heat flux quantum $J_q= \frac{\pi k_B^2}{12 \hbar}T^2$ per edge state. We adress the question of how heat transport in…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Florian Stäbler , Eugene Sukhorukov

Fourier's law dictates that heat flow is usually parallel to the applied temperature gradient. However, under a high magnetic field, heat flow carried by both electrons in conductors and phonons in insulators can be deflected, a phenomenon…

Strongly Correlated Electrons · Physics 2026-05-28 Zhe Cui , Haoran Fan , Wenjiang Zhou , Xianghong Jin , Yuchen Gu , Da Ma , Cong Xiao , Hua Jiang , Xincheng Xie , Bai Song , Yuan Li , Xi Lin

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 investigate the spectrum of interacting electrons at arbitrary filling factors in the limit of vanishing Zeeman splitting. The composite fermion theory successfully explains the low-energy spectrum {\em provided the composite fermions…

Condensed Matter · Physics 2009-10-22 X. G. Wu , J. K. Jain

We have studied temperature dependence of both diagonal and Hall resistivity in the vicinity of $\nu=1/2$. Magnetoresistance was found to be positive and almost independent of temperature: temperature enters resistivity as a logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. P. Rokhinson , V. J. Goldman

The thermovoltage of a chaotic quantum dot is measured using a current heating technique. The fluctuations in the thermopower as a function of magnetic field and dot shape display a non-Gaussian distribution, in agreement with simulations…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. F. Godijn , S. Moeller , H. Buhmann , L. W. Molenkamp , S. A. van Langen

The low-energy excitations of filled Landau levels (LL's) of electrons involve promotion of a single electron from the topmost filled LL to the lowest empty LL. These are called excitons or collective modes. The incompressible fractional…

Condensed Matter · Physics 2009-10-28 R. K. Kamilla , X. G. Wu , J. K. Jain

Mechanism of the particle-flux separation in the Chern-Simons gauge theory coupled with nonrelativistic fermions is studied in a nonperturbative method. This problem is very important for the composite fermion approach to the fractional…

Condensed Matter · Physics 2009-10-28 I. Ichinose , T. Matsui