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The critical behaviour of d-dimensional n-vector models at m-axial Lifshitz points is considered for general values of m in the large-n limit. It is proven that the recently obtained large-N expansions [J. Phys.: Condens. Matter 17, S1947…

Statistical Mechanics · Physics 2008-03-20 M. A. Shpot , H. W. Diehl , Yu. M. Pis'mak

We study the fixed point that controls the IR dynamics of QED in $d = 4 - 2\epsilon$. We derive the scaling dimensions of four-fermion and bilinear operators beyond leading order in $\epsilon$-expansion. For the four-fermion operators, this…

High Energy Physics - Theory · Physics 2018-01-17 Lorenzo Di Pietro , Emmanuel Stamou

We revive the idea of using physical anomalous dimensions in the QCD scale evolution of deep-inelastic structure functions and their scaling violations and present a detailed phenomenological study of its applicability. Differences with…

High Energy Physics - Phenomenology · Physics 2013-11-13 Martin Hentschinski , Marco Stratmann

We extend the analysis of the conductance fluctuations in disordered metals by Altshuler, Kravtsov, and Lerner (AKL) to disordered superconductors with broken time-reversal symmetry in $d=(2+\epsilon)$ dimensions (symmetry classes C and D…

Mesoscale and Nanoscale Physics · Physics 2007-08-22 S. Ryu , A. Furusaki , A. W. W. Ludwig , C. Mudry

The Weyl semimetals are topologically protected from a gap opening against weak disorder in three dimensions. However, a strong disorder drives this relativistic semimetal through a quantum transition towards a diffusive metallic phase…

Disordered Systems and Neural Networks · Physics 2016-12-28 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

We study the effect of short range interactions in three dimensional nodal-line semimetals with linear band crossings. We analyze the Yukawa theories for gapped instabilities in the charge, spin and superconducting channels using the…

Strongly Correlated Electrons · Physics 2020-03-25 Geo Jose , Bruno Uchoa

A phase transition is an example of a ``topological defect'' in the space of parameters of a quantum or classical many-body systems. In this paper, we consider phase diagram topological defects of higher codimension. These have the property…

Strongly Correlated Electrons · Physics 2026-04-14 Naren Manjunath , Dominic V. Else

We determine the curvature of the pseudo-critical line of strong interactions by means of numerical simulations at imaginary chemical potentials. We consider $N_f=2+1$ stout improved staggered fermions with physical quark masses and the…

High Energy Physics - Lattice · Physics 2015-06-23 Claudio Bonati , Massimo D'Elia , Marco Mariti , Michele Mesiti , Francesco Negro , Francesco Sanfilippo

We develop the hypothesis that the dynamics of a given system may lead to the activity being constricted to a subset of space, characterized by a fractal dimension smaller than the space dimension. We also address how the response function…

Statistical Mechanics · Physics 2025-10-15 Henrique A. Lima , Edwin E. Mozo Luis , Ismael S. S. Carrasco , Alex Hansen , Fernando A. Oliveira

Topological quantum phase transitions intrinsically intertwine self-similarity and topology of many-electron wave-functions, and divining them is one of the most significant ways to advance understanding in condensed matter physics. Our…

Strongly Correlated Electrons · Physics 2016-01-27 Gil Young Cho , Eun-Gook Moon

We consider a two-component scaling picture for the resistivity of two-dimensional (2D) weakly disordered interacting electron systems at low temperature with the aim of describing both the vicinity of the bifurcation and the low resistance…

Strongly Correlated Electrons · Physics 2009-11-10 D. J. W. Geldart , D. Neilson

We investigate a specific set of two-loop self-energy corrections involving squared decay rates and point out that their interpretation is highly problematic. The corrections cannot be interpreted as radiative energy shifts in the usual…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. D. Jentschura , J. Evers , C. H. Keitel , K. Pachucki

We study the critical properties of the QED$_3$-Gross-Neveu model with $2N$ flavors of two-component Dirac fermions coupled to a massless scalar field and a U(1) gauge field. For $N=1$, this theory has recently been suggested to be dual to…

Strongly Correlated Electrons · Physics 2017-11-10 Lukas Janssen , Yin-Chen He

For phase transitions in disordered systems, an exact theorem provides a bound on the finite size correlation length exponent: \nu_{FS}<= 2/d. It is believed that the true critical exponent \nu of a disorder induced phase transition…

Disordered Systems and Neural Networks · Physics 2009-10-30 Ferenc Pazmandi , Richard T. Scalettar , Gergely T. Zimanyi

The minimal supersymmetric extension of the standard model allows for some of the coupling strengths to be complex parameters. The presence of such imaginary phases can lead to violations of time reversal invariance, which can be tested if…

High Energy Physics - Phenomenology · Physics 2009-10-22 E. Christova , M. Fabbrichesi

We investigate chiral symmetry breaking in the (2+1)-dimensional Thirring model as a function of the coupling as well as the Dirac flavor number Nf with the aid of the functional renormalization group. For small enough flavor number Nf <…

High Energy Physics - Theory · Physics 2012-11-08 Lukas Janssen , Holger Gies

In certain Mott-insulating dimerized antiferromagnets, triplet excitations of the paramagnetic phase can decay into the two-particle continuum. When such a magnet undergoes a quantum phase transition into a magnetically ordered state, this…

Strongly Correlated Electrons · Physics 2015-03-17 L. Fritz , R. L. Doretto , S. Wessel , S. Wenzel , S. Burdin , M. Vojta

Within the four-loop $\ve$ expansion, we study the critical behavior of certain antiferromagnets with complicated ordering. We show that an anisotropic stable fixed point governs the phase transitions with new critical exponents. This is…

Statistical Mechanics · Physics 2009-11-07 Andrei Mudrov , Konstantin Varnashev

The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum critical points have originally been discussed in the context of…

Strongly Correlated Electrons · Physics 2023-06-02 Konstantinos Ladovrechis , Shouryya Ray , Tobias Meng , Lukas Janssen

We analyze the quantum phase transition between a semimetal and a superfluid in a model of attractively interacting fermions with a linear dispersion. The quantum critical properties of this model cannot be treated by the Hertz-Millis…

Strongly Correlated Electrons · Physics 2011-06-06 P. Strack , S. Takei , W. Metzner