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The competition between Coulomb repulsion and kinetic energy in correlated systems can allow electrons to crystallize into Wigner solids. Despite researches across diverse two-dimensional Wigner platforms, the microscopic melting processes…

Strongly Correlated Electrons · Physics 2026-01-06 Chaofei Liu , Jianwang Zhou , Wenao Liao , Zeyu Jiang , Chao Zhang , Tingfei Guo , Tianyou Zhai , Wenhao Zhang , Ying-Shuang Fu , Qi-Kun Xue

The interplay between strong Coulomb interactions and randomness has been a long-standing problem in condensed matter physics. According to the scaling theory of localization, in two-dimensional systems of noninteracting or weakly…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Kravchenko , M. P. Sarachik

Charge and spin-Peierls instabilities in quarter-filled (n=1/2) compounds consisting of coupled ladders and/or zig-zag chains are investigated. Hubbard and t-J models including local Holstein and/or Peierls couplings to the lattice are…

Strongly Correlated Electrons · Physics 2009-10-31 J. Riera , D. Poilblanc

We have studied the ground states of two dimensional lattice model of Coulomb Glass via Monte Carlo annealing. Our results show a possibility of existence of a critical disorder (Wc) below which the system is in the charge ordered phase and…

Disordered Systems and Neural Networks · Physics 2017-05-29 Preeti Bhandari , Vikas Malik

In Wigner-crystal states of two-dimensional electrons, the spin ordering remains poorly understood. The small energy differences between candidate spin orders make theoretical studies less reliable, and probing magnetic order at a nonzero…

Strongly Correlated Electrons · Physics 2026-01-14 Yichen Dong , Eugene Demler , Zhiyuan Sun

The conditions for emergence of Kolmogorov turbulence, and related weak wave turbulence, in finite size systems are analyzed by analytical methods and numerical simulations of simple models. The analogy between Kolmogorov energy flow from…

Chaotic Dynamics · Physics 2012-06-21 D. L. Shepelyansky

Magnetic and other unconventional electronic orders are discussed for heavy electrons. In addition to the ordinary Kondo lattice, we consider non-Kramers systems taking the two-channel Kondo lattice, and another lattice that consists of a…

Strongly Correlated Electrons · Physics 2015-06-19 Yoshio Kuramoto , Shintaro Hoshino

Precise control over interactions between ballistic electrons will enable us to exploit Coulomb interactions in novel ways, to develop high-speed sensing, to reach a non-linear regime in electron quantum optics and to realise schemes for…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 J. D. Fletcher , W. Park , S. Ryu , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , H. -S. Sim , M. Kataoka

We reply to the Comment by Mobius and Richter [arXiv:0908.3092, Phys. Rev. Lett. 105, 039701 (2010)] on "Density of States and Critical Behavior of the Coulomb Glass" [arXiv:0805.4640, Phys. Rev. Lett. 102, 067205 (2009)] and address the…

Disordered Systems and Neural Networks · Physics 2010-07-20 B. Surer , A. Glatz , Helmut G. Katzgraber , G. T. Zimanyi , B. A. Allgood , G. Blatter

We investigate self-organized criticality in a two-dimensional electron gas (2DEG) by introducing a lattice-based model that incorporates electron-electron interactions through the concept of coherence length. Our numerical simulations…

Statistical Mechanics · Physics 2025-09-17 Maryam Pirgholi , Morteza Nattagh Najafi , Vadood Adami

By combining DFT-based computational analysis and symmetry constraints in terms of group-subgroup relations, we analysed the formation of the native crystalline structure of loellingite FeAs$_2$. We showed that the ground state of the…

Materials Science · Physics 2016-03-10 A. Pishtshev , P. Rubin

We consider the pairing of electrons and holes due to their Coulomb attraction in two parallel, independently gated graphene layers, separated by a barrier. At weak coupling, there exist the BCS-like pair-condensed state. Despite the fact…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , A. A. Sokolik

The effect of geometrical frustration in a two-dimensional 1/4-filled strongly correlated electron system is studied theoretically, motivated by layered organic molecular crystals. An extended Hubbard model on the square lattice is…

Strongly Correlated Electrons · Physics 2007-05-23 Jaime Merino , Hitoshi Seo , Masao Ogata

A novel type of symmetry breaking is reported for the two-channel Kondo lattice where conduction electrons have spin and orbital (channel) degrees of freedom. Using the continuous-time quantum Monte Carlo and the dynamical mean-field…

Strongly Correlated Electrons · Physics 2011-12-09 Shintaro Hoshino , Junya Otsuki , Yoshio Kuramoto

Using experiments, theory and simulations, we show that the arrested state observed in a colloidal clay at intermediate concentrations is stabilized by the screened Coulomb repulsion (Wigner glass). Dilution experiments allow us to…

Soft Condensed Matter · Physics 2015-05-18 B. Ruzicka , L. Zulian , E. Zaccarelli , R. Angelini , M. Sztucki , A. Moussaid , G. Ruocco

The realization that electron localization in disordered systems (Anderson localization) is ultimately a wave phenomenon has led to the suggestion that photons could be similarly localized by disorder. This conjecture attracted wide…

Disordered Systems and Neural Networks · Physics 2017-05-10 A. A. Chabanov , M. Stoytchev , A. Z. Genack

The Wigner crystal, an ordered array of electrons, is one of the very first proposed many-body phases stabilized by the electron-electron interaction. This electron solid phase has been reported in ultra-clean two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Lili Zhao , Wenlu Lin , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren N. Pfeiffer , Yang Liu

We consider the massless Nelson model with two types of massive particles which we call atoms and electrons. The atoms interact with photons via an infrared regular form-factor and thus they are Wigner-type particles with sharp mass-shells.…

Mathematical Physics · Physics 2020-12-22 Wojciech Dybalski , Alessandro Pizzo

Altshuler and Aronov (AA) have shown that the electron-electron interaction in a weakly-disordered metal suppresses the single-particle density of states (DOS) in the vicinity of the Fermi level ($E_F$). According to the AA theory the…

Disordered Systems and Neural Networks · Physics 2018-09-25 Antonia Mošková , Martin Moško

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha