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Related papers: Delocalized Coulomb phase in two dimensions

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The model of two electrons with Coulomb interaction on a two-dimensional (2D) disordered lattice is considered. It is shown that the interaction can give a sharp transition to delocalized states in a way similar to the Anderson transition…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

For intermediate Coulomb energy to Fermi energy ratios $r_s$, spinless fermions in a random potential form a new quantum phase which is different from the Fermi glass and the Wigner crystal. From a numerical study of small clusters, we show…

Condensed Matter · Physics 2007-05-23 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard

For intermediate Coulomb energy to Fermi energy ratios $r_s$, spinless fermions in a two-dimensional random potential form a new quantum phase, different from the Fermi glass (weakly interacting Anderson localized states) and the Wigner…

Condensed Matter · Physics 2017-09-27 Xavier Waintal , Giuliano Benenti , Jean-Louis Pichard

For intermediate Coulomb energy to Fermi energy ratios $r_s$, spinless fermions in a random potential form a new quantum phase which is nor a Fermi glass, neither a Wigner crystal. Studying small clusters, we show that this phase gives rise…

Condensed Matter · Physics 2009-10-31 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard

It is shown that the Coulomb interaction can lead to delocalization of two electron states in two-dimensional (2D) disordered potential in a way similar to the Anderson transition in three dimensions (3D). At fixed disorder strength the…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

When a system of spinless fermions in a disordered mesoscopic ring becomes instable between the inhomogeneous configuration driven by the random potential (Anderson insulator) and the homogeneous one driven by repulsive interactions (Mott…

Strongly Correlated Electrons · Physics 2009-10-31 Peter Schmitteckert , Rodolfo A. Jalabert , Dietmar Weinmann , Jean-Louis Pichard

The dynamics of the 2D Coulomb glass model is investigated by kinetic Monte Carlo simulation. An exponential divergence of the relaxation time signals a zero-temperature freezing transition. At low temperatures the dynamics of the system is…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. R. Grempel

We study the problem of two particles with Coulomb repulsion in a two-dimensional disordered potential in the presence of a magnetic field. For the regime, when without interaction all states are well localized, it is shown that above a…

Condensed Matter · Physics 2009-10-31 Giuliano Benenti , Dima L. Shepelyansky

The study of the ground state of spinless fermions in 2d disordered clusters (Phys. Rev. Lett. {\bf 83}, 1826 (1999)) has suggested the existence of a new quantum phase for intermediate Coulomb energy to kinetic energy ratios $r_s$. Exact…

Condensed Matter · Physics 2016-08-31 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard

We consider a classical system of n charged particles in an external confining potential, in any dimension d larger than 2. The particles interact via pairwise repulsive Coulomb forces and the coupling parameter scales like the inverse of n…

Mathematical Physics · Physics 2015-01-26 N. Rougerie , S. Serfaty

The double exchange model with on-site Coulomb repulsion is considered. Schwinger-bosons representation of the localized spins is used and two spin-singlet Fermion operators are introduced. In terms of the new Fermi fields the on-site…

Strongly Correlated Electrons · Physics 2015-06-25 Naoum Karchev , Vasil Michev

For a constant density of spinless fermions in strongly disordered two dimensional clusters, the energy level spacing between the ground state and the first excitation is studied for increasing system sizes. The average indicates a smooth…

Condensed Matter · Physics 2007-05-23 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard , Dima L. Shepelyansky

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

Using Hartree-Fock orbitals with residual Coulomb repulsion, we study spinless fermions in a two dimensional random potential. When we increase the system size $L$ at fixed particle density, the size dependence of the average inverse…

Condensed Matter · Physics 2009-10-31 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard , Dima Shepelyansky

We address the outstanding problem of electron pairing in the presence of strong Coulomb repulsion at small to moderate values of the Coulomb parameter, $r_s \lesssim 2$, and demonstrate that the pseudopotential framework is fundamentally…

Superconductivity · Physics 2023-06-21 Tao Wang , Xiansheng Cai , Kun Chen , Boris V. Svistunov , Nikolay V. Prokof'ev

The quantum Coulomb glass model describes disordered interacting electrons on the insulating side of a metal-insulator transition. By taking quantum fluctuations into account it can describe not only the localized limit but also the weakly…

Disordered Systems and Neural Networks · Physics 2015-06-25 Thomas Vojta , Frank Epperlein , Michael Schreiber

Using the density matrix renormalization group algorithm, we investigate the lattice model for spinless fermions in one dimension in the presence of a strong interaction and disorder. The phase sensitivity of the ground state energy is…

Strongly Correlated Electrons · Physics 2009-10-30 P. Schmitteckert , T. Schulze , C. Schuster , P. Schwab , U. Eckern

We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Reza Jamei , Steven Kivelson , Boris Spivak

We have annealed two dimensional lattice model of Coulomb glass using Monte Carlo simulations to obtain the ground state. We have shown that the energy required to create a domain of linear size L in d dimensions is proportional to…

Disordered Systems and Neural Networks · Physics 2017-02-24 Preeti Bhandari , Vikas Malik

Some theorems on derivatives of the Coulomb density functional with respect to the coupling constant $\lambda$ are given. Consider an electron density $n_{GS}({\bf r})$ given by a ground state. A model Fermion system with the reduced…

Statistical Mechanics · Physics 2015-05-20 Koichi Kusakabe , Isao Maruyama
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