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We present strong numerical evidence for the existence of an infrared fixed point in the renormalization group flow of the SU(3) gauge-fermion system with twelve massless fermions in the fundamental representation. Our numerical simulations…

High Energy Physics - Lattice · Physics 2024-03-14 Curtis Taylor Peterson , Anna Hasenfratz

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin

High density YM-theory is addressed by means of an effective theory where a Higgs type field corresponds to the diquark order parameter. The effective Higgs theory mimics the Cooper instability at the Fermi surface. After Landau gauge…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld

We study the emergence of color superconductivity in the theory of the strong interaction at supranuclear densities. To this end, we follow the renormalization group (RG) flow of dense strong-interaction matter with two massless quark…

High Energy Physics - Phenomenology · Physics 2022-02-16 Jens Braun , Benedikt Schallmo

Superconductivity remains one of most fascinating quantum phenomena existing on a macroscopic scale. Its rich phenomenology is usually described by the Ginzburg-Landau (GL) theory in terms of the order parameter, representing the…

Superconductivity · Physics 2023-03-28 M. C. Diamantini , C. A. Trugenberger , Sheng-Zong Chen , Yu-Jung Lu , Chi-Te Liang , V. M. Vinokur

If the zero-field transition in high temperature superconductors such as YBa_2Cu_3O_7-\delta is a critical point in the universality class of the 3-dimensional XY model, then the general theory of critical phenomena predicts the existence…

Superconductivity · Physics 2009-11-07 Dominic J. Lee , Ian D. Lawrie

Approximated functional renormalization group (FRG) equations lead to regulator-dependent $\beta$-functions, in analogy to the scheme-dependence of the perturbative renormalization group (pRG) approach. A scheme transformation redefines the…

High Energy Physics - Theory · Physics 2024-07-16 S. Hariharakrishnan , U. D. Jentschura , I. G. Marian , K. Szabo , I. Nandori

We revisit the interlayer tunneling theory of high temperature superconductors and formulate it as a mechanism by which the striking systematics of the transition temperature within a given homologous series can be understood. We pay…

Superconductivity · Physics 2008-07-16 Angela Kopp , Sudip Chakravarty

We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective…

Strongly Correlated Electrons · Physics 2007-08-23 J. Reiss , D. Rohe , W. Metzner

We consider the effects of critical superconducting fluctuations on the scaling of the linear a.c. conductivity, \sigma(\omega), of a bulk superconductor slightly above Tc in zero applied magnetic field. The dynamic renormalization- group…

Superconductivity · Physics 2009-10-31 Robert A. Wickham , Alan T. Dorsey

The process of renormalization to eliminate divergences arising in quantum field theory is not uniquely defined; one can always perform a finite renormalization, rendering finite perturbative results ambiguous. The consequences of making…

High Energy Physics - Phenomenology · Physics 2019-01-24 D. G. C. McKeon , Chenguang Zhao

A combined density functional theory and functional renormalization group method is introduced which takes into account orbital-dependent interaction parameters to derive the effective low-energy theory of weakly to intermediately…

Superconductivity · Physics 2011-12-14 Christian Platt , Ronny Thomale , Werner Hanke

Motivated by recent experimental progress in the critical regime of high-$T_c$ superconductors we show how the tricritical point in a superconductor can be derived from the Ginzburg-Landau theory as a consequence of vortex fluctuations. Our…

Superconductivity · Physics 2009-11-11 H. Kleinert

We analyze the fate of the unbroken SU(2) color gauge interactions for 2 light flavors color superconductivity at non zero temperature. Using a simple model we compute the deconfining/confining critical temperature and show that is smaller…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Sannino , N. Marchal , W. Schäfer

By using a Ginzburg-Landau functional in the Gaussian approximation, we calculate the energy of superconducting fluctuations above the transition, at zero external magnetic field, of a system composed by a small number $N$ of parallel…

Superconductivity · Physics 2024-12-25 A. S. Viz , M. M. Botana , J. C. Verde , M. V. Ramallo

We study an unconventional phase transition in ferroelectrics where the polarization field is constrained to be divergence-free, allowing only loop-like configurations. This local constraint fundamentally alters the critical behavior,…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Svitlana Kondovych , Asle Sudbø , Flavio S. Nogueira

The problem of obtaining a gauge independent beta function for Newton's constant is addressed. By a specific parameterisation of metric fluctuations a gauge independent functional integral is constructed for the semiclassical theory around…

High Energy Physics - Theory · Physics 2016-01-11 Kevin Falls

A Ginzburg-Landau approach to fluctuations of a layered superconductor in a magnetic field is used to show that the interlayer coupling can be incorporated within an interacting self-consistent theory of a single layer, in the limit of a…

Superconductivity · Physics 2010-07-19 James M. Murray , Zlatko Tesanovic

We present a functional renormalization group analysis of superconductivity in the ground state of the attractive Hubbard model on a square lattice. Spontaneous symmetry breaking is treated in a purely fermionic setting via anomalous…

Strongly Correlated Electrons · Physics 2009-11-13 R. Gersch , C. Honerkamp , W. Metzner

We consider the scaling behavior in the critical domain of superconductors at zero external magnetic field. The first part of the paper is concerned with the Ginzburg-Landau model in the zero magnetic field Meissner phase. We discuss the…

Superconductivity · Physics 2009-10-31 C. de Calan , F. S. Nogueira
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