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Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence…

Superconductivity · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

Weakly correlated electrons on a square lattice are studied by angle-resolved functional renormalization group. Upon renormalization the interaction starts to depend on momenta and has pole-like solutions near a doping-dependent…

Strongly Correlated Electrons · Physics 2007-05-23 D. Zanchi

We present in this work an exact renormalization group (RG) treatment of a one-dimensional $p$-wave superconductor. The model proposed by Kitaev consists of a chain of spinless fermions with a $p$-wave gap. It is a paradigmatic model of…

Superconductivity · Physics 2014-04-15 Mucio A. Continentino , Fernanda Deus , Heron Caldas

We employ the weak-coupling renormalization group approach to study unconventional superconducting phases emerging in the extended, repulsive Hubbard model on paradigmatic two-dimensional lattices. Repulsive interactions usually lead to…

Superconductivity · Physics 2019-01-10 Sebastian Wolf , Thomas L. Schmidt , Stephan Rachel

We explore how the superconductivity arising from the on-site electron-electron repulsion will change when the repulsion is changed to a long-ranged, 1/r-like one by introducing an extended Hubbard model with the repulsion extending to…

Superconductivity · Physics 2010-02-17 Seiichiro Onari , Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

The interrelation between disorder and interactions in two dimensional electron liquid is studied beyond weak coupling perturbation theory. Strong repulsion significantly reduces the electronic density of states on the Fermi level. This…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. Rosenstein , Tran Minh-Tien

Strong repulsive interactions within a one dimensional Fermi system in a two-probe configuration normally lead to a reduced off-resonance conductance. We show that if the repulsive interaction extends to the contact regions, a strong…

Strongly Correlated Electrons · Physics 2007-06-18 Dan Bohr , Peter Schmitteckert

We analyze in detail the superconductivity that arises in an extended Hubbard model describing a multiband system with repulsive interactions. We show that virtual interband processes induce an effective attractive interaction for small…

Superconductivity · Physics 2022-07-22 Valentin Crépel , Tommaso Cea , Liang Fu , Francisco Guinea

A tight binding model of electrons interacting via bare Coulomb repulsion is numerically investigated by use of the Density Matrix Renormalization Group method which we prove applicable also to very long range potentials. From the analysis…

Strongly Correlated Electrons · Physics 2009-10-31 G. Fano , F. Ortolani , A. Parola , L. Ziosi

We have investigated the bias-voltage dependence of the phase-dependent differential resistance of a disordered T-shaped 2-dimensional electron gas coupled to two superconducting terminals. The resistance oscillations first increase upon…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. G. den Hartog , B. J. van Wees , Yu. V. Nazarov , T. M. Klapwijk , G. Borghs

We model a Superconducting Single-Electron Transistor operating by repulsive interactions. The device consists of a ring of Hubbard clusters, placed between electrodes and capacitively coupled to a gate potential. In each cluster, a pair of…

Superconductivity · Physics 2009-11-10 Enrico Perfetto , Michele Cini

The interplay and competition of magnetic and superconducting correlations in the weakly interacting two-dimensional Hubbard Model is investigated by means of the functional renormalization group. At zero temperature the flow of…

Strongly Correlated Electrons · Physics 2009-11-11 W. Metzner , J. Reiss , D. Rohe

We discuss examples of (1+1)-dimensional models where the perturbative renormalization group (RG) indicates a tendency to restore the symmetry in the strong coupling limit. We show that such restoration does occur sometimes, but the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Azaria , P. Lecheminant , A. M. Tsvelik

We consider the contribution of electron-electron interactions to the orbital magnetization of a two-dimensional electron gas, focusing on the ballistic limit in the regime of negligible Landau-level spacing. This regime can be described by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. von Oppen , D. Ullmo , H. U. Baranger

We revisit the renormalization group (RG) analysis of the Kohn-Luttinger (KL) mechanism for superconductivity. The KL mechanism leads to superconductivity in a system with a repulsive bare interaction. The key ingredient is the screening…

Superconductivity · Physics 2025-05-16 Yuki Fujimoto

We propose a general coarse-graining method to derive a continuity equation that describes any dissipative system of repulsive particles interacting through short-ranged potentials. In our approach, the effect of particle-particle…

Statistical Mechanics · Physics 2016-06-15 C. M. Vieira , H. A. Carmona , J. S. Andrade , A. A. Moreira

We investigate a model many-body system of spinless Fermi gas in two dimensions, where the bare two-body interaction is repulsive and takes the form of a soft-core disk potential. We obtain the zero temperature phase diagram of this model…

Quantum Gases · Physics 2024-03-26 Ahmet Keles , Xiaopeng Li , Erhai Zhao

A renormalization group theory for a system consisting of coupled superconducting layers as a model for typical high-temperature superconducters is developed. In a first step the electromagnetic interaction over infinitely many layers is…

supr-con · Physics 2009-10-28 Carsten Timm

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all…

Strongly Correlated Electrons · Physics 2009-11-11 Ming-Shyang Chang , Wei Chen , Hsiu-Hau Lin