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We present results on the effect of short-range, attractive interactions on the properties of balanced 2D Fermi gases in the non-superfluid (normal) phase. Our approach combines the renormalization group (RG) with perturbation theory,…

Quantum Gases · Physics 2020-04-08 S. Laalitya Uppalapati , Daniel E. Sheehy

The renormalization group is not only a powerful method for describing universal properties of phase transitions but it is also useful for evaluating non- universal properties beyond mean-field theory. In this contribution we concentrate on…

Condensed Matter · Physics 2009-11-07 Gernot Alber , Georgios Metikas

The cumulants of the logarithm of the conductance (lng) in the localized regime in the one-dimensional Anderson model are calculated exactly in the second Born approximation for weak disorder. Only the first two cumulants turn out to ne…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Heinrichs

We propose a cross-order Laplacian renormalization group (X-LRG) scheme for arbitrary higher-order networks. The renormalization group is a pillar of the theory of scaling, scale-invariance, and universality in physics. An RG scheme based…

Statistical Mechanics · Physics 2024-02-07 Marco Nurisso , Marta Morandini , Maxime Lucas , Francesco Vaccarino , Tommaso Gili , Giovanni Petri

We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to…

High Energy Physics - Theory · Physics 2009-11-10 Daniel F. Litim , Lautaro Vergara

New qualitative picture of vortex length-scale dependence has been found in recent electrical transport measurements performed on strongly anisotropic BSCCO single crystals in zero magnetic field. This indicates the need for a better…

High Energy Physics - Theory · Physics 2009-11-11 I. Nandori , K. Sailer

By the early 1960's advances in statistical physics had established the existence of universality classes for systems with second-order phase transitions and characterized these by critical exponents which are different to the classical…

Statistical Mechanics · Physics 2017-08-23 Ralph Kenna

In order to shed light whether the `even-odd conjecture' (even numbers of legs will superconduct accompanied by a spin gap while odd ones do not) for correlated electrons in ladder systems, the pairing correlation is studied for the Hubbard…

Strongly Correlated Electrons · Physics 2009-10-30 Takashi Kimura , Kazuhiko Kuroki , Hideo Aoki

We find a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two derivatives, extending 't~Hooft's one-loop result. The method can also be used for theories with…

High Energy Physics - Phenomenology · Physics 2023-11-01 Elizabeth E. Jenkins , Aneesh V. Manohar , Luca Naterop , Julie Pagès

For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all divergences are logarithmical. These expressions allow relating…

High Energy Physics - Theory · Physics 2025-12-17 Gleb Kovyrshin , Nikolai Meshcheriakov , Victoria Shatalova , Konstantin Stepanyantz

The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\ln \tau\sim…

Statistical Mechanics · Physics 2017-10-12 Ivan Balog , Gilles Tarjus

This paper is the third in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. In this paper, we motivate and present a general approach…

Mathematical Physics · Physics 2015-06-19 Roland Bauerschmidt , David C. Brydges , Gordon Slade

We investigate equilibrium and steady-state non-equilibrium transport properties of a spinless resonant level locally coupled to two conduction bands of width ~\Gamma via a Coulomb interaction U and a hybridization t'. In order to study the…

Strongly Correlated Electrons · Physics 2015-05-14 C. Karrasch , M. Pletyukhov , L. Borda , V. Meden

The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent…

Disordered Systems and Neural Networks · Physics 2014-09-12 Michele Castellana , Giorgio Parisi

We investigate the ground state phases of an extended Bose-Hubbard ladder of unit filling via the density-matrix-renormalization-group method and, in particular, the effect of rung-hoppings. In contrast to a single-chain, a commensurate…

Quantum Gases · Physics 2024-08-08 Ashwath N Madhusudan , Gopal Chandra Santra , Inderpreet Kaur , Weibin Li , Rejish Nath

We have performed extensive density matrix renormalization group (DMRG) studies of the Hubbard model on a honeycomb ladder. The band structure (with Hubbard U=0) exhibits an unusual quadratic band touching at half filling, which is…

Strongly Correlated Electrons · Physics 2015-06-16 G. Karakonstantakis , L. Liu , R. Thomale , S. A. Kivelson

Effective potential for scalar $\lambda\phi^4$ theory is obtained using the exact renormalization group method which includes both the usual one-loop contribution as well as the dominant higher loop effects. Our numerical calculation…

High Energy Physics - Theory · Physics 2009-09-25 Sen-Ben Liao , Chengqian Gong

Asymmetric two-leg Hubbard ladders with different on-site interactions $U_y$ and hoppings $t_y$ on each leg are investigated using the density matrix renormalization group method and exact diagonalizations. The pairing found in symmetric…

Strongly Correlated Electrons · Physics 2023-03-29 Anas Abdelwahab , Gökmen Polat , Eric Jeckelmann

The crossing of temperature dependencies of sound velocity in the normal and the superconducting state of metallic glasses indicates renormalization of the intensity of sound interaction with two-level systems (TLS) caused by their coupling…

Condensed Matter · Physics 2009-10-31 E. V. Bezuglyi , A. L. Gaiduk , V. D. Fil , S. V. Zherlitsyn , W. L. Johnson , G. Bruls , B. Luethi , B. Wolf

We study the renormalization effects on electric dipole moments in the models with new electroweakly interacting massive fermions. The electric dipole moments are generated by the effective operators which arise from integrating out heavy…

High Energy Physics - Phenomenology · Physics 2019-05-24 Wataru Kuramoto , Takumi Kuwahara , Ryo Nagai