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We study in detail the dynamic scaling of the three-dimensional (3D) Ising model driven through its critical point on finite-size lattices and show that a series of new critical exponents are needed to account for the anomalous scalings…

Statistical Mechanics · Physics 2021-07-22 Weilun Yuan , Fan Zhong

The critical behaviors of quark-hadron phase transition are explored by use of the Ising model adapted for hadron production. Various measures involving the fluctuations of the produced hadrons in bins of various sizes are examined with the…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. C. Hwa , Y. Wu

We consider a theory for a two-dimensional interacting conduction electron system with strong spin-orbit coupling on the interface between a topological insulator and the magnetic (ferromagnetic or antiferromagnetic) layer. For the…

Strongly Correlated Electrons · Physics 2012-12-06 Flavio S. Nogueira , Ilya Eremin

We present a functional renormalization group investigation of an Euclidean three-dimensional matrix Yukawa model with U(N) symmetry, which describes N = 2 Weyl fermions that effectively interact via a short-range repulsive interaction.…

Strongly Correlated Electrons · Physics 2013-01-04 D. Mesterházy , J. Berges , L. von Smekal

We use numerical transfer-matrix methods, together with finite-size scaling and conformal invariance concepts, to discuss critical properties of two-dimensional honeycomb-lattice Ising spin-1/2 magnets, with couplings which are…

Statistical Mechanics · Physics 2013-02-18 S. L. A. de Queiroz

The quantum phase diagram and critical behavior of two-dimensional Dirac fermions coupled to two compatible order-parameter fields with $O(N_1)\oplus O(N_2)$ symmetry is investigated. Recent numerical studies of such systems have reported…

Strongly Correlated Electrons · Physics 2020-04-15 Emilio Torres , Lukas Weber , Lukas Janssen , Stefan Wessel , Michael M. Scherer

The nematic electronic state and its associated nematic critical fluctuations have emerged as potential candidates for superconducting pairing in various unconventional superconductors. However, in most materials their coexistence with…

Superconductivity · Physics 2019-11-19 P. Reiss , D. Graf , A. A. Haghighirad , W. Knafo , L. Drigo , M. Bristow , A. J. Schofield , A. I. Coldea

Dynamical phase transition (DPT) characterizes the abrupt change of dynamical properties in nonequilibrium quantum many-body systems. It has been demonstrated that extra quantum fluctuating modes besides the conventional order parameter…

Statistical Mechanics · Physics 2021-03-11 Shuai Yin , Shao-Kai Jian

We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

Models with range-free frustrated Ising spin- and Hubbard interaction are treated exactly by means of the discrete time slicing method. Critical and tricritical points, correlations, and the fermion propagator, are derived as a function of…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Oppermann , D. Sherrington

The transverse field Ising chain (TFIC) model is ideally suited for testing the fundamental ideas of quantum phase transitions, because its well-known $T=0$ ground state can be extrapolated to finite temperatures. Nonetheless, the lack of…

Strongly Correlated Electrons · Physics 2014-07-17 A. W. Kinross , M. Fu , T. J. Munsie , H. A. Dabkowska , G. M. Luke , S. Sachdev , T. Imai

The interplay of spin and charge fluctuations in the random transverse-field Ising spin chain on the fermionic space is investigated. The finite chemical potential, which controls the charge fluctuations, leads to the appearance of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. L. Chudnovskiy

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

We study the criticality of long-range quantum ferromagnetic Ising chain with algebraically decaying interactions $1/r^{\alpha}$ via the fidelity susceptibility based on the exact diagonalization and the density matrix renormalization group…

Quantum Gases · Physics 2018-08-09 Zhangqi Zhu , Gaoyong Sun , Wen-Long You , Da-Ning Shi

Understanding the influence of quenched random potential is crucial for comprehending the exotic electronic transport of non-Fermi liquid metals near metallic quantum critical points. In this study, we identify a stable fixed point…

Strongly Correlated Electrons · Physics 2024-08-28 Kyoung-Min Kim , Ki-Seok Kim

The spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice is studied by Monte Carlo simulations with the goal to determine phase diagrams for a range of the model parameters and to investigate the nature of the phase transitions…

Statistical Mechanics · Physics 2014-01-09 M. Žukovič , M. Jaščur

The role of the geometric fluctuations on the multifractal properties of the local magnetization of aperiodic ferromagnetic Ising models on hierachical lattices is investigated. The geometric fluctuations are introduced by generalized…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Nogueira , R. F. S. Andrade , S. Coutinho

We investigate a class of relativistic fermion theories in 2<d<4 space-time dimensions with continuous chiral U(Nf)xU(Nf) symmetry. This includes a number of well-studied models, e.g., of Gross-Neveu and Thirring type, in a unified…

High Energy Physics - Theory · Physics 2015-11-02 Friedrich Gehring , Holger Gies , Lukas Janssen

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with conserved dynamics, comprising the mesoscopic descriptions of a wide range of nonequilibrium phenomena. They exhibit continuous parity-time…

Statistical Mechanics · Physics 2023-09-08 Thomas Suchanek , Klaus Kroy , Sarah A. M. Loos

We study the equilibrium dynamics of an infinite-range quantum Heisenberg model with random couplings, in which local magnetic moments arise from $\mathcal{N}_f$ flavors of spinful fermions. We employ an expansion in $\mathcal{N}_f$, which…

Strongly Correlated Electrons · Physics 2026-03-13 Hossein Hosseinabadi , Subir Sachdev , Jamir Marino