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We revisit the problem of quantum localization of many-body states in a quantum dot and the associated problem of relaxation of an excited state in a finite correlated electron system. We determine the localization threshold for the…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We have investigated few-body states in vertically stacked quantum dots. Due to small inter-dot tunneling rate, the coupling in our system is in a previously unexplored regime where electron-hole exchange is the dominant spin interaction.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Stefan Falt , Mete Atature , Hakan E. Tureci , Yong Zhao , Antonio Badolato , Atac Imamoglu

We explore the characteristics of equilibrium tunneling of electrons from a 3D electrode into a high mobility 2D electron system. For most 2D Landau level filling factors, we find that tunneling can be characterized by a single,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Chan , R. C. Ashoori , L. N. Pfeiffer , K. W. West

Characterizing the many-body localization (MBL) transition in strongly disordered and interacting quantum systems is an important issue in the field of condensed matter physics. We study the single particle Green's functions for a…

Disordered Systems and Neural Networks · Physics 2021-10-29 Atanu Jana , V. Ravi Chandra , Arti Garg

In recent years researchers have attempted to improve the continuum state three-body wavefunction for three, mutually interacting Coulomb particles by including, so called, local momentum effects, which depend upon the logarithmic gradient…

Atomic Physics · Physics 2009-09-25 M. J. Schillaci

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto

We report low-temperature transport measurements through a double quantum dot device in a configuration where one of the quantum dots is coupled directly to the source and drain electrodes, and a second (side-coupled) quantum dot interacts…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Y. Baines , T. Meunier , D. Mailly , A. D. Wieck , C. Bäuerle , L. Saminadayar , Pablo S. Cornaglia , Gonzalo Usaj , C. A. Balseiro , D. Feinberg

In all theoretical treatments of electron transport through single molecules between two metal electrodes, a clear distinction has to be made between a coherent transport regime with a strong coupling throughout the junction and a Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Robert Stadler , Jerome Cornil , Victor Geskin

We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed…

Statistical Mechanics · Physics 2024-09-24 Chao Yin , Rahul Nandkishore , Andrew Lucas

Using scanning tunneling spectroscopy in ultra-high vacuum at low temperature (T = 0.3 K) and high magnetic fields (B < 12 T), we directly probe electronic wave functions across an integer quantum Hall transition. In accordance with…

Mesoscale and Nanoscale Physics · Physics 2008-12-17 K. Hashimoto , C. Sohrmann , J. Wiebe , T. Inaoka , F. Meier , Y. Hirayama , R. A. Roemer , R. Wiesendanger , M. Morgenstern

We develop a theoretical model for the description of electron dynamics in coupled quantum wires when the local magnetic moment is formed in one of the wires. We employ a single-particle Hamiltonian that takes account of the specific…

Strongly Correlated Electrons · Physics 2009-11-10 V. I. Puller , L. G. Mourokh , A. Shailos , J. P. Bird

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

Disordered Systems and Neural Networks · Physics 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

Single electron tunneling is studied in a many electron quantum dot in high magnetic fields. For such a system multiple transitions of the spin configuration are theoretically predicted. With a combination of spin blockade and Kondo effect…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Rogge , C. Fuhner , R. J. Haug

The yrast spectra (i.e. the lowest states for a given total angular momentum) of quantum dots in strong magnetic fields, are studied in terms of exact numerical diagonalization and analytic trial wave functions. We argue that certain…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Manninen , S. Viefers , M. Koskinen , S. M. Reimann

The effects of dynamic localization in a solid-state system -- a quantum dot -- are considered. The theory of weak dynamic localization is developed for non-interacting electrons in a closed quantum dot under arbitrary time-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. E. Kravtsov

Electron localization is the tendency of an electron in a many-body system to exclude other electrons from its vicinity. Using a new natural measure of localization based on the exact manyelectron wavefunction, we find that localization can…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 T. R. Durrant , M. J. P. Hodgson , J. D. Ramsden , R. W. Godby

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict…

Quantum Physics · Physics 2018-06-06 Andre M. C. Souza , Roberto. F. S. Andrade

The magnetic character of the ground-state of two electrons on a double quantum dot, connected in series to left and right single-channel leads, is considered. By solving exactly for the spectrum of the two interacting electrons, it is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Levinson

We measure tunnelling currents through electrostatically defined quantum dots in a GaAs/AlGaAs heterostructure connected to two leads. For certain tunnelling barrier configurations and high sample bias we find a pronounced resonance…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Tobias Krähenmann , Livio Ciorciaro , Christian Reichl , Werner Wegscheider , Leonid Glazman , Thomas Ihn , Klaus Ensslin