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A rate equation formalism is used to determine the effect of electron-phonon coupling on the conductance of a molecule. Interplay between the phonon-induced renormalization of the density of states on the quantum dot and the phonon-induced…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Mitra , I. Aleiner , A. J. Millis

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

Disordered Systems and Neural Networks · Physics 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

Quantum Hall edge states have some characteristic features that can prove useful to measure and control solid state qubits. For example, their high voltage to current ratio and their dissipationless nature can be exploited to manufacture…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Stefano Bosco , David P. DiVincenzo

The interfaces of quantum Hall insulators with superconductors have emerged as a promising platform to realise interesting physics that may be relevant for topologically protected quantum computing. However, these interfaces can host other…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Jordan T. McCourt , John Chiles , Chun-Chia Chen , Kenji Watanabe , Takashi Tanaguchi , Francois Amet , Gleb Finkelstein

We investigate the effects of randomness in a strongly correlated electron model in one-dimension at half-filling. The ground state correlation functions are exactly written by products of 3$\times$3 transfer matrices and are evaluated…

Strongly Correlated Electrons · Physics 2009-10-28 Masanori Yamanaka , Mahito Kohmoto

We present a novel approach to the localization-delocalization transition in the integer quantum Hall effect. The Hamiltonian projected onto the lowest Landau level can be written in terms of the projected density operators alone. This and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jairo Sinova , V. Meden , S. M. Girvin

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

Influences of topological defect and dislocation on conductivity behavior of charge carries in external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. It is found that the nontrivial…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang , Hua-Wei Fan

We study the tunneling between two quantum Hall systems, along a quasi one-dimensional interface. A detailed analysis relates microscopic parameters, characterizing the potential barrier, with the effective field theory model for the…

Condensed Matter · Physics 2009-10-22 D. G. Barci , L. Moriconi

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

We show how lattice Quantum Monte Carlo can be applied to the electronic properties of carbon nanotubes in the presence of strong electron-electron correlations. We employ the path-integral formalism and use methods developed within the…

Strongly Correlated Electrons · Physics 2016-06-10 Thomas Luu , Timo A. Lähde

Effects of electron correlation on the electronic structure and magnetic properties of the Gd(0001) surface are investigated using of the full-potential linearized augmented plane wave implementation of correlated band theory ("LDA+U"). The…

Strongly Correlated Electrons · Physics 2009-10-31 A. B. Shick , W. E. Pickett , C. S. Fadley

We probe quantum Hall effect in a tunable 1-D lateral superlattice (SL) in graphene created using electrostatic gates. Lack of equilibration is observed along edge states formed by electrostatic gates inside the superlattice. We create…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Sudipta Dubey , Mandar M. Deshmukh

The impact of Coulomb interaction on the electronic properties of a quantum spin-Hall insulator is studied using quantum cluster methods, disentangling local from non-local effects. We identify different regimes, according to the value of…

Strongly Correlated Electrons · Physics 2021-12-22 Lorenzo Crippa , Adriano Amaricci , Severino Adler , Giorgio Sangiovanni , Massimo Capone

We consider circular and elliptic quantum dots with parabolic external confinement, containing 0 - 22 electrons and with values of r_s in the range 0 < r_s < 3. We perform restricted and unrestricted Hartree-Fock calculations, and further…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Clare Sloggett , Oleg Sushkov

Scaling of the anomalous Hall conductivity to longitudinal conductivity, has been observed in the dirty regime of two-dimensional weak and strong localization regions in ultrathin, polycrystalline, chemically disordered, ferromagnetic FePt…

Materials Science · Physics 2015-06-11 Y. M. Lu , J. W. Cai , Zaibing Guo , X. X. Zhang

The frictional drag between parallel two-dimensional electron systems has been measured in a regime of strong interlayer correlations. When the bilayer system enters the excitonic quantized Hall state at total Landau level filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Kellogg , I. B. Spielman , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We show that optically excited electrons by a circularly polarized light in a semiconductor with spin-orbit coupling subject to a weak electric field will carry a Hall current transverse to the electric field. This light induced Hall effect…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xi Dai , Fu-Chun Zhang

An approach to electron correlation effects in atoms that uses quantum trajectories is presented. A comparison with the exact quantum mechanical results for 1D Helium atom shows that the major features of the correlated ground state…

Atomic Physics · Physics 2025-02-07 Ivan P. Christov