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Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an…

Quantum Physics · Physics 2022-03-24 Eric Ouma Jobunga

The systematic study of ground-state properties of the three-dimensional Falicov-Kimball model is performed by a well-controlled numerical method. The results obtained are used to categorize the ground-state configurations according to…

Strongly Correlated Electrons · Physics 2009-11-11 Pavol Farkasovsky , Hana Cencarikova , Natalia Tomasovicova

Purely quantum electron systems exhibit intriguing correlated electronic phases by virtue of quantum fluctuations in addition to electron-electron interactions. To realize such quantum electron systems, a key ingredient is dense electrons…

A general quantitative measure of the tendency towards phase separation is introduced for systems exhibiting phase transitions or crossovers controlled by charge carrier concentration. This measure is devised for the situations when the…

Strongly Correlated Electrons · Physics 2011-05-02 Boris V. Fine , Takeshi Egami

In this review we present a biased review of the ground state properties of the Falicov-Kimball models in 1,2 and infinite dimensions, considering either fermions or hard-core bosons. In particular we want to show the very rich structure…

Statistical Mechanics · Physics 2007-05-23 Christian Gruber

The exact solution of the spin-1/2 Falicov-Kimball model on an infinite-coordination Bethe lattice is analyzed in the regime of ``classical'' intermediate valence. We find (i) either phase separation or a direct metal-insulator transition…

Strongly Correlated Electrons · Physics 2009-10-31 Woonki Chung , J. K. Freericks

Phase relaxation of electrons transferring through an electromechanical transistor is studied using the Aharonov-Bohm interferometer. With the approach of quantum master equation, the phase properties of an electron are numerically analyzed…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Wenxi Lai , Yunhui Xing , Zhongshui Ma

We report that binary dispersions of like-charged colloidal particles with large charge asymmetry but similar size exhibit phase separation into crystal and fluid phases under very low salt conditions. This is unexpected because the…

Soft Condensed Matter · Physics 2017-12-27 Koki Yoshizawa , Nao Wakabayashi , Masakatsu Yonese , Junpei Yamanaka , C. Patrick Royall

Key experimental results on unveiling and studying properties of a multiphase state that arises in two-dimensional electron systems due to the interplay of interelectron interactions and disorder are reviewed. The review focuses on the…

Strongly Correlated Electrons · Physics 2023-03-03 V. M. Pudalov

Coulomb effects on the edge states of a two dimensional electron gas in the presence of a high magnetic field are studied for different widths of the boundaries. Schr\"odinger and Poisson equations are selfconsistently solved in the integer…

Condensed Matter · Physics 2009-10-22 L. Brey , J. J. Palacios , C. Tejedor

We use a novel approach to analyze the one dimensional spinless Falicov-Kimball model. We derive a simple effective model for the occupation of the localized orbitals which clearly reveals the origin of the known ordering. Our study is…

Strongly Correlated Electrons · Physics 2007-05-23 P. M. R. Brydon , M. Gulacsi

A combination of small-cluster exact-diagonalization calculations and a well-controlled approximative method is used to examine the ground-state phase diagrams of the spin-one-half Falicov-Kimball model extended by the spin-dependent…

Strongly Correlated Electrons · Physics 2015-06-25 Martin Zonda

The transmission phase through a quantum dot with few electrons shows a complex, non-universal behavior. Here we combine configuration-interaction calculations ---treating rigorously Coulomb interaction--- and the Friedel sum rule to…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 Massimo Rontani

Many-electron dynamics induced by a symmetric monocycle electric-field pulse of large amplitude is theoretically investigated in one- and two-dimensional half-filled extended Hubbard models on regular lattices (i.e., without dimerization)…

Strongly Correlated Electrons · Physics 2015-09-30 Hiroki Yanagiya , Yasuhiro Tanaka , Kenji Yonemitsu

Classical electromagnetic forces can account for the experimentally observed phase shifts seen in an electron interference pattern when a line of electric dipoles or a line of magnetic dipoles (a solenoid) is placed between the electron…

Quantum Physics · Physics 2007-05-23 Timothy H. Boyer

We study a two-dimensional cylindrically-symmetric electron droplet separated from a surrounding electron ring by a tunable barrier using the exact diagonalization method. The magnetic field is assumed strong so that the electrons become…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 E. Tölö , A. Harju

We study electron molecules in realistic vertically coupled quantum dots in a strong magnetic field. Computing the energy spectrum, pair correlation functions, and dynamical form factor as a function of inter-dot coupling via…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Massimo Rontani , Guido Goldoni , Franca Manghi , Elisa Molinari

The extended Falicov-Kimball model is analyzed exactly in the ground state at half filling in the limit of large dimensions. In the model the on-site and the intersite density-density interactions between all particles are included. We…

Strongly Correlated Electrons · Physics 2019-07-03 Romuald Lemański , Konrad Jerzy Kapcia , Stanisław Robaszkiewicz

The localization of two interacting electrons in a coupled-quantum-dots semiconductor structure is demonstrated through numerical calculations of the time evolution of the two-electron wave function including the Coulomb interaction between…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. I. Tamborenea , H. Metiu

We consider $N_a$ three-level atoms (or systems) interacting with a one-mode electromagnetic field in the dipolar and rotating wave approximations. The order of the quantum phase transitions is determined explicitly for each of the…

Quantum Physics · Physics 2013-12-02 S. Cordero , O. Castaños , R. López-Peña , E. Nahmad-Achar