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Two different heat-transport mechanisms are discussed in solids: in crystals, heat carriers propagate and scatter particle-like as described by Peierls' formulation of the Boltzmann transport equation for phonon wavepackets. In glasses,…

Materials Science · Physics 2022-07-12 Michele Simoncelli , Nicola Marzari , Francesco Mauri

A two miniband model for electron transport in semiconductor superlattices that includes scattering and interminiband tunnelling is proposed. The model is formulated in terms of Wigner functions in a basis spanned by Pauli matrices,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. Alvaro , L. L. Bonilla

We study theoretically the impact of Zener tunneling on the charge-transport properties of quasi-metallic (Qm) carbon nanotubes (characterized by forbidden band gaps of few tens of meV). We also analyze the interplay between Zener tunneling…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Gaston Kané , Michele Lazzeri , Francesco Mauri

Traditional theories of electron transport in crystals are based on the Boltzmann equation and do not capture physics arising from quantum coherence. We introduce a transport formalism based on ''orbital Wigner functions'', which accurately…

The theory of Bloch electron dynamics for carriers in homogeneous electric and magnetic fields of arbitrary time dependence is developed in the framework of the Liouville equation. The Wigner distribution function (WDF) is determined from…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 G. J. Iafrate , V. N. Sokolov , J. B. Krieger

We show that the probability of electric field induced interband tunneling in solid state systems is generically a non-monotonic (oscillatory) function of the applied field. This unexpected behavior can be understood as arising due to a…

Mesoscale and Nanoscale Physics · Physics 2013-06-13 Sonika Johri , Rahul Nandkishore , R. N. Bhatt , E. J. Mele

Accurate models of carrier transport are essential for describing the electronic properties of semiconductor materials. To the best of our knowledge, the current models following the framework of the Boltzmann transport equation (BTE)…

Materials Science · Physics 2015-06-17 Alireza Faghaninia , Joel W. Ager , Cynthia S. Lo

Using first-principles pseudopotential method and Boltzmann transport theory, we give a comprehensive understanding of the electronic and phonon transport properties of thermoelectric material BiCuSeO. By choosing proper hybrid functional…

Materials Science · Physics 2017-06-28 D. D. Fan , H. J. Liu , L. Cheng , J. Zhang , P. H. Jiang , J. Wei , J. H. Liang , J. Shi

The highly successful Dirac equation can predict peculiar effects such as Klein tunneling and the "Zitterbewegung" (German for "trembling motion") of electrons. From the time it was first identified by Erwin Schrodinger, Zitterbewegung (ZB)…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Yu Iwasaki , Yoshiaki Hashimoto , Taketomo Nakamura , Shingo Katsumoto

The problem of inter-band tunneling in a semiconductor (Zener breakdown) in a nonstationary and homogeneous electric field is solved exactly. Using the exact analytical solution, the approximation based on classical trajectories is studied.…

Quantum Physics · Physics 2007-05-23 Boris Ivlev

A model is developed for a detailed investigation of the current flowing through a cylindrical nanosize MOSFET with a close gate electrode. The quantum mechanical features of the lateral charge transport are described by Wigner distribution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. N. Balaban , E. P. Pokatilov , V. M. Fomin , V. N. Gladilin , J. T. Devreese , W. Magnus , W. Schoenmaker , M. Van Rossum , B. Soree

One of the fundamental properties of semiconductors is their ability to support highly tunable electric currents in the presence of electric fields or carrier concentration gradients. These properties are described by transport coefficients…

Materials Science · Physics 2020-02-19 Samuel Poncé , Wenbin Li , Sven Reichardt , Feliciano Giustino

We investigate the electrical transport through a system of benzene coupled to metal electrodes by electron tunneling. Using electronic structure calculations, a semi--quantitative model for the pi-electrons of the benzene is derived that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. H. Hettler , W. Wenzel , M. R. Wegewijs , H. Schoeller

Interference and tunneling are two signature quantum effects that are often perceived as the yin and yang of quantum mechanics: particle simultaneously propagating along several distinct classical paths versus particle penetrating through a…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Rahul Nandkishore , Leonid Levitov

We present a theoretical investigation of the voltage-driven metal insulator transition based on solving coupled Boltzmann and Hartree-Fock equations to determine the insulating gap and the electron distribution in a model system -- a one…

Strongly Correlated Electrons · Physics 2018-12-03 Giuliano Chiriacò , Andrew J. Millis

We investigate the tunneling conductance of Weyl semimetal with tilted energy dispersion by considering electron transmission through a p-n-p junction with one-dimensional electric and magnetic barrier. In the presence of both electric and…

Mesoscale and Nanoscale Physics · Physics 2017-07-21 Can Yesilyurt , Seng Ghee Tan , Gengchiau Liang , Mansoor B. A. Jalil

An electron transport is studied in the system which consists of scanning tunneling microscopy-single molecule magnet-metal. Due to quantum tunneling of magnetization in single-molecule magnet, linear response conductance exhibits stepwise…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gwang-Hee Kim , Tae-Suk Kim

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

Two recent electronic transport experiments from Columbia University and Harvard University have reported record high mobility and low channel densities in transition metal dichalcogenide (TMD) WSe$_2$ monolayers [J. Pack, et al.,…

Mesoscale and Nanoscale Physics · Physics 2024-06-28 Yi Huang , Sankar Das Sarma

Deviations from diffusive heat transport in high thermal conductivity crystalline insulators are generally understood within the framework of the phonon Boltzmann Transport Equation. However, for low thermal conductivity materials with…

Materials Science · Physics 2026-05-11 Laurenz Kremeyer , Bradley J. Siwick , Samuel Huberman
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