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We investigate the dynamics of electrons in the vicinity of the Anderson transition in $d=3$ dimensions. Using the exact eigenstates from a numerical diagonalization, a number of quantities related to the critical behavior of the diffusion…

Condensed Matter · Physics 2007-05-23 Tobias Brandes , Bodo Huckestein , Ludwig Schweitzer

In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this…

High Energy Physics - Theory · Physics 2016-12-21 Simone Giombi , Vladimir Kirilin

Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics and criticality of one-dimensional spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We…

Quantum Gases · Physics 2012-04-12 C. C. N. Kuhn , X. W. Guan , A. Foerster , M. T. Batchelor

We study the tricritical Ising universality class using conformal bootstrap techniques. By studying bootstrap constraints originating from multiple correlators on the CFT data of multiple OPEs, we are able to determine the scaling dimension…

High Energy Physics - Theory · Physics 2021-05-11 Chethan N Gowdigere , Jagannath Santara , Sumedha

Motivated by experiments on spin chains embedded in a metallic bath, as well as closed quantum systems described by long-range interacting Hamiltonians, we study a critical SU(N) spin chain perturbed by dissipation, or equivalently, after…

Strongly Correlated Electrons · Physics 2024-01-19 Simon Martin , Tarun Grover

The classical dimer model on the cubic lattice hosts a columnar ordered phase and a disordered Coulomb phase, separated by a continuous phase transition that lies beyond the conventional Landau-Ginzburg-Wilson paradigm. While its…

Statistical Mechanics · Physics 2026-05-18 Hu-Xiao Peng , Zheng Yan , Shuai Yin

We study a model for a quantum Ising spin glass in two space dimensions by Monte Carlo simulations. In the disordered phase at $T=0$, we find power law distributions of the local susceptibility and local non-linear susceptibility, which are…

Condensed Matter · Physics 2009-10-28 H. Rieger , A. P. Young

We consider the fermionic quantum criticality of anisotropic nodal point semimetals in $d = d_L + d_Q$ spatial dimensions that disperse linearly in $d_L$ dimensions, and quadratically in the remaining $d_Q$ dimensions. When subject to…

Strongly Correlated Electrons · Physics 2020-11-25 Mikolaj D. Uryszek , Frank Krüger , Elliot Christou

We show that Hertz $\phi^4$ theory of quantum criticality is incomplete as it misses anomalous non-local contributions to the interaction vertices. For antiferromagnetic quantum transitions, we found that the theory is renormalizable only…

Strongly Correlated Electrons · Physics 2007-05-23 Ar. Abanov , A. Chubukov

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

Disordered Systems and Neural Networks · Physics 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn

The critical behaviors of the bimodal and Gaussian Ising spin glass (ISG) models in dimension four are studied through extensive numerical simulations, and from an analysis of high temperature series expansion (HTSE) data of Klein {\it et…

Disordered Systems and Neural Networks · Physics 2015-07-09 P. H. Lundow , I. A. Campbell

We study critical behavior of the diluted 2D Ising model in the presence of disorder correlations which decay algebraically with distance as $\sim r^{-a}$. Mapping the problem onto 2D Dirac fermions with correlated disorder we calculate the…

Disordered Systems and Neural Networks · Physics 2016-06-23 Maxym Dudka , Andrei A. Fedorenko , Viktoria Blavatska , Yurij Holovatch

Critical properties in the dynamical charge correlation function for the one-dimensional Mott insulator are studied. By properly taking into account {\it the final-state interaction} between the charge and spin degrees of freedom, we find…

Condensed Matter · Physics 2009-10-31 T. Fujii , N. Kawakami

We show that the critical exponent of a quantum phase transition in a damped-driven open system is determined by the spectral density function of the reservoir. We consider the open-system variant of the Dicke model, where the driven boson…

Quantum Physics · Physics 2015-07-29 D. Nagy , P. Domokos

The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations…

Statistical Mechanics · Physics 2009-11-11 M. A. Bab , G. Fabricius , E. V. Albano

The critical behavior of infinite families of shift symmetric interacting theories with higher derivative kinetic terms (non unitary) is considered. Single scalar theories with shift symmetry are classified according to their upper critical…

High Energy Physics - Theory · Physics 2022-02-23 Mahmoud Safari , Andreas Stergiou , Gian Paolo Vacca , Omar Zanusso

We study magnetic critical behavior in the Ashkin-Teller model with an asymmetric defect line. This system is represented by two Ising lattices of spins $\sigma$ and $\tau$ interacting through a four-spin coupling $\epsilon$. In addition,…

Statistical Mechanics · Physics 2016-12-30 G. Duchowney , C. Naón , A. Iucci

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

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

Exact formulas for the singularities of the dynamical structure factor, S^{zz}(q,omega), of the S=1/2 xxz spin chain at all q and any anisotropy and magnetic field in the critical regime are derived, expressing the exponents in terms of the…

Strongly Correlated Electrons · Physics 2009-11-13 Rodrigo G. Pereira , Steven R. White , Ian Affleck
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