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The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached…

We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

The behavior of an excess electron in a one, two and three dimensional classical liquid has been studied with the aid of Chandler, Singh and Richardson (CSR) theory [J. Chem. Phys. {\bf 81} 1975 (1984)] . The size or dispersion of the…

Statistical Mechanics · Physics 2007-05-23 Ashok Sethia , Eric R. Bittner , Fumio Hirata

We introduce a new paradigm for one-dimensional uniform electron gases (UEGs). In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. We use Rayleigh-Schr\"odinger perturbation theory to show that, in…

Strongly Correlated Electrons · Physics 2013-08-19 Pierre-François Loos , Peter M. W. Gill

We study the properties of superconductor in presence of a finite concentration of repulsive centers. The superconductor is described by the negative $U$ Hubbard model while repulsive centers are treated as randomly distributed impurities…

Superconductivity · Physics 2009-11-11 Grzegorz Litak , Mariusz Krawiec

We study the holographic renormalization group (RG) flow in the presence of higher-order curvature corrections to the $(d+1)$-dimensional Einstein-Hilbert (EH) action for an arbitrary interacting scalar matter field by using the…

High Energy Physics - Theory · Physics 2021-12-30 Ahmad Ghodsi , Malihe Siahvoshan

We apply the renormalization-group (RG) approach to two model systems where the two-dimensional Fermi surface has portions which give rise to the logarithmically singular two-loop self-energy process.

Strongly Correlated Electrons · Physics 2016-11-23 Jun-ichiro Kishine , Nobuo Furukawa , Kenji Yonemitsu

Using the recently introduced multiloop extension of the functional renormalization group, we compute the magnetic, density, and superconducting susceptibilities of the two-dimensional Hubbard model at weak coupling and present a detailed…

Strongly Correlated Electrons · Physics 2023-08-16 Sarah Heinzelmann , Alessandro Toschi , Sabine Andergassen

We analyze the dynamics of one-dimensional quantum gases with strongly attractive contact interactions. We specify a class of initial states for which attractive forces effectively act as strongly repulsive ones during the time evolution.…

Quantum Gases · Physics 2022-02-02 Maciej Łebek , Andrzej Syrwid , Piotr T. Grochowski , Kazimierz Rzążewski

We show that the renormalization group decimation of modern nucleon potential models to low momenta results in a unique nucleon interaction V_{low k}. This interaction is free of short-ranged singularities and can be used directly in…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , B. Friman , S. K. Bogner , G. E. Brown , T. T. S. Kuo

We present a systematic weak-coupling renormalization group (RG) technique for studying a collection of $N$ coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For $N=2,3$, we recover…

Strongly Correlated Electrons · Physics 2009-10-30 Hsiu-Hau Lin , Leon Balents , Matthew P. A. Fisher

The z axis magnetization of a two dimensional electron gas with contact repulsive interaction and in presence of a Rashba potential is computed by means of quantum field theory at second order. A striking effect of the pure Rashba…

Mesoscale and Nanoscale Physics · Physics 2011-12-21 Alberto Ambrosetti , Pier Luigi Silvestrelli , Flavio Toigo

Building on the Renormalization Group (RG) method the beam-beam interaction in circular colliders is studied. A regularized symplectic RG beam-beam map, that describes successfully the long-time asymptotic behavior of the original system…

Accelerator Physics · Physics 2007-05-23 Stephan I. Tzenov

We study an interacting quantum dot in contact with a superconducting island described by the Richardson model with a Coulomb repulsion term controlling the number of electrons on the island. This Hamiltonian admits a compact…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Luka Pavešić , Daniel Bauernfeind , Rok Žitko

We present a renormalization group analysis of two-dimensional interacting fermion systems with a closed and partially flat Fermi surface. Numerical solutions of the one-loop flow equations show that for a bare local repulsion, the system…

Strongly Correlated Electrons · Physics 2009-11-07 S. Dusuel , F. Vistulo de Abreu , B. Doucot

We investigate renormalization group limit cycles within the similarity renormalization group (SRG) and discuss their signatures in the evolved interaction. A quantitative method to detect limit cycles in the interaction and to extract…

Nuclear Theory · Physics 2015-04-20 P. Niemann , H. -W. Hammer

We have rigorously shown that a strong Hubbard repulsion can cause superconductivity. The model, which has a particular set of local symmetries, manifests the phase diagram of many unconventional superconductors; anti-ferromagnetism…

Superconductivity · Physics 2019-04-16 Manjinder Kainth , M. W. Long

We study the two-dimensional repulsive Hubbard model by functional RG methods, using our recently proposed channel decomposition of the interaction vertex. The main technical advance of this work is that we calculate the full Matsubara…

Strongly Correlated Electrons · Physics 2012-12-21 Kay-Uwe Giering , Manfred Salmhofer

Motivated by recent experimental observations of correlated metallic phases and superconductivity in rhombohedral trilayer graphene (RTG), we perform an unbiased study of electronic ordering instabilities in hole-doped RTG. Specifically, we…

Strongly Correlated Electrons · Physics 2022-11-08 Da-Chuan Lu , Taige Wang , Shubhayu Chatterjee , Yi-Zhuang You

We investigate the dynamics of overdamped $D$-dimensional systems of particles repulsively interacting through short-ranged power-law potentials, $V(r)\sim r^{-\lambda}\;(\lambda/D>1)$. We show that such systems obey a non-linear diffusion…

Statistical Mechanics · Physics 2018-10-03 André A. Moreira , César M. Vieira , Humberto A. Carmona , José S. Andrade , Constantino Tsallis