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We formulate and prove an exact relation which expresses the moments of the two-point conductance for an open disordered electron system in terms of certain density correlators of the corresponding closed system. As an application of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rochus Klesse , Martin R. Zirnbauer

We determine the pre-asymptotic critical behavior at the quantum ferromagnetic transition in strongly disordered metals. We find that it is given by effective power laws, in contrast to the previously analyzed asymptotic critical behavior,…

Strongly Correlated Electrons · Physics 2015-03-16 T. R. Kirkpatrick , D. Belitz

The critical behaviour of three-dimensional semi-infinite Ising ferromagnets at planar surfaces with (i) random surface-bond disorder or (ii) a terrace of monatomic height and macroscopic size is considered. The Griffiths-Kelly-Sherman…

Statistical Mechanics · Physics 2009-10-31 H. W. Diehl

The effects of bond randomness on the phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel model are discussed. The system is studied in both the pure and disordered versions by the same efficient two-stage…

Statistical Mechanics · Physics 2015-05-14 A. Malakis , A. Nihat Berker , I. A. Hadjiagapiou , N. G. Fytas , T. Papakonstantinou

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

The two-dimensional random-bond Q-state Potts model is studied for Q near 2 via the perturbative renormalisation group to one loop. It is shown that weak disorder induces cross-correlations between the quenched-averages of moments of the…

Statistical Mechanics · Physics 2009-10-31 Tom Davis , John Cardy

We study quantum criticality in the doped two-dimensional periodic Anderson model with the hybridization acting as a tuning parameter. Employing the dynamical vertex approximation we find two distinct quantum critical behaviors. One is a…

Strongly Correlated Electrons · Physics 2025-03-13 M. Kitatani , T. Schäfer , A. A. Katanin , A. Toschi , K. Held

A convenient way to study phase transitions of finite spins systems of linear size $L$ is to fix boundary conditions that impose the presence of a system-size interface. In this paper, we study the statistical properties of such an…

Disordered Systems and Neural Networks · Physics 2008-04-08 Cecile Monthus , Thomas Garel

We consider critical eigenstates in a two dimensional quasicrystal and their evolution as a function of disorder. By exact diagonalization of finite size systems we show that the evolution of properties of a typical wave-function is…

Disordered Systems and Neural Networks · Physics 2023-03-08 Anuradha Jagannathan , Marco Tarzia

Three dimensional Dirac semimetals are stable against weak potential disorder, but not against strong disorder. In the language of renormalization group, such stability stems from the irrelevance of weak disorder in the vicinity of the…

Disordered Systems and Neural Networks · Physics 2015-01-08 Bitan Roy , S. Das Sarma

We review and extend some recent investigations of the effects of aperiodic interactions on the critical behavior of ferromagnetic $q$-state Potts models. By considering suitable diamond or necklace hierarchical lattices, and assuming a…

Statistical Mechanics · Physics 2009-11-07 T. A. S. Haddad , S. R. Salinas

We investigate the critical properties of d-dimensional magnetic systems with quenched extended defects, correlated in $\epsilon_d$ dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the…

Disordered Systems and Neural Networks · Physics 2016-08-31 V. Blavatska , C. von Ferber , Yu. Holovatch

Self-propelled particles display unique collective phenomena, due to the intrinsic coupling of density and polarity. For instance, the giant number fluctuation appears in the orientationally ordered state, and the motility-induced phase…

Statistical Mechanics · Physics 2024-09-04 Kyosuke Adachi , Hiroyoshi Nakano

We present a proof of the power law decay of magnetic moment for the $q$-state antiferromagnetic Potts model on the regular tree at the critical temperature, and also justify that the exact exponent is $\frac{1}{2}$. Our proof relies on the…

Probability · Mathematics 2022-05-27 Chenlin Gu , Wei Wu , Kuan Yang

We consider the critical behavior of the random q-state Potts model in the large-q limit with different types of disorder leading to either the nonfrustrated random ferromagnet regime or the frustrated spin glass regime. The model is…

Disordered Systems and Neural Networks · Physics 2009-10-10 Ferenc Igloi , Loic Turban

Strange metals appear in a wide range of correlated materials. Electronic localization-delocalization and the expected loss of quasiparticles characterize beyond-Landau metallic quantum critical points and the associated strange metals.…

Strongly Correlated Electrons · Physics 2023-08-29 Chia-Chuan Liu , Silke Paschen , Qimiao Si

For continuous Mott metal-insulator transitions in layered two dimensional systems, we demonstrate the phenomenon of dimensional decoupling: the system behaves as a three-dimensional metal in the Fermi liquid side but as a stack of…

Strongly Correlated Electrons · Physics 2016-09-08 Liujun Zou , T. Senthil

We consider the critical behavior associated with incommensurate unidirectional charge-density-wave ordering in a weakly orthorhombic system subject to uniaxial strain as an experimentally significant example of $U(1)\times U(1)$…

Statistical Mechanics · Physics 2023-11-21 Steven A. Kivelson , Akshat Pandey , Anisha G. Singh , Aharon Kapitulnik , Ian R. Fisher

We consider the finkelstein action describing a system of spin polarized or spinless electrons near two dimensions, in the presence of disorder as well as the Coulomb interactions.We extend the renormalization group analysis of our previous…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Baranov , I. S. Burmistrov , A. M. M. Pruisken

We investigate the phase transition in a three-dimensional classical Heisenberg magnet with planar defects, i.e., disorder perfectly correlated in two dimensions. By applying a strong-disorder renormalization group, we show that the…

Statistical Mechanics · Physics 2010-04-08 Priyanka Mohan , Rajesh Narayanan , Thomas Vojta
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