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The $Q$-state Potts model in two dimensions in the presence of external magnetic fields is studied. For general $Q\geq3$ special choices of these magnetic fields produce effective models with smaller $Z(Q')$ symmetry $(Q'< Q)$. The phase…

Condensed Matter · Physics 2009-10-28 F. C. Alcaraz , J. C. Xavier

We investigate the critical dynamics of a classical ferromagnet on the simple cubic lattice with double-exchange interaction. Estimates for the dynamic critical exponents $z$ and $\theta$ are obtained using short-time Monte Carlo…

Statistical Mechanics · Physics 2007-05-23 H. A. Fernandes , J. R. Drugowich de Felicio , A. A. Caparica

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the…

Statistical Mechanics · Physics 2009-11-11 Andrei A. Fedorenko , Steffen Trimper

In low-temperature metallic magnets, ferromagnetic (FM) and antiferromagnetic (AFM) orders can exist in a single system in different parts of the phase diagram as a function of some control parameter. These phases can be adjacent, or exist…

Strongly Correlated Electrons · Physics 2018-01-03 D. Belitz , T. R. Kirkpatrick

The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each…

Mathematical Physics · Physics 2015-06-15 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

We show that tricritical points displaying unusal behaviour exist in phase diagrams of fermionic Ising spin glasses as the chemical potential or the filling assumes characteristic values. Exact results for infinite range interaction and a…

Condensed Matter · Physics 2009-10-28 B. Rosenow , R. Oppermann

Within the macroscopic Landau-de Gennes approach, we examine the Gaussian normal mode fluctuations of semi-infinite nematic liquid crystals in a regime of critical wetting. It is argued that surface free-energy potentials that strongly…

Soft Condensed Matter · Physics 2009-10-31 N. B. Ivanov

We analyze quantum fluctuation effects at the onset of charge or spin density wave order in two-dimensional metals with an incommensurate nesting ($2k_F$) wave vector connecting two pairs of hot spots on the Fermi surface. We first compute…

Strongly Correlated Electrons · Physics 2021-09-22 Jáchym Sýkora , Walter Metzner

Quantum criticality has attracted considerable attention both theoretically and experimentally as a way to describe part of the phase diagram of strongly correlated systems. A scale-invariant fluctuation spectrum at a quantum critical point…

Strongly Correlated Electrons · Physics 2015-10-28 Stefan Kirchner , Qimiao Si

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits…

Statistical Mechanics · Physics 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

We investigate the impacts of combination of fermion-fermion interactions and impurity scatterings on the low-energy stabilities of two-dimensional asymmetric materials with a quadratic band crossing point by virtue of the renormalization…

Strongly Correlated Electrons · Physics 2020-10-09 Yao-Ming Dong , Ya-Hui Zhai , Dong-Xing Zheng , Jing Wang

We study the critical behavior of the random q-state Potts model in the large-q limit on the diamond hierarchical lattice with an effective dimensionality $d_{\rm eff} > 2$. By varying the temperature and the strength of the frustration the…

Statistical Mechanics · Physics 2015-06-12 J-Ch. Anglès d'Auriac , Ferenc Iglói

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

Gross-Neveu-Yukawa-type models such as the chiral Ising, chiral XY, and chiral Heisenberg models, serve as effective descriptions of two-dimensional Dirac semi-metals undergoing quantum phase transitions into various symmetry-broken ordered…

Strongly Correlated Electrons · Physics 2025-09-17 Mireia Tolosa-Simeón , Laura Classen , Michael M. Scherer

We study the differential resistivity transition of two-dimensional superconducting arrays induced by an external driving current, in the presence of thermal fluctuations and a magnetic field corresponding to $f$ flux quantum per plaquette.…

Superconductivity · Physics 2018-09-26 Enzo Granato

A previous work (Joshi et al., arXiv:1912.08822) found a deconfined critical point at non-zero doping in a $t$-$J$ model with all-to-all and random hopping and spin exchange, and argued for its relevance to the phenomenology of the…

Strongly Correlated Electrons · Physics 2020-10-28 Darshan G. Joshi , Subir Sachdev

Universal behavior is a typical emergent feature of critical systems. A paramount model of the non-equilibrium critical behavior is the directed bond percolation process that exhibits an active- to-absorbing state phase transition in the…

Statistical Mechanics · Physics 2018-02-16 J. Honkonen , T. Lučivjanský , V. Škultéty

The continuous quantum phase transition and the nature of quantum critical point (QCP) in a modified Kondo lattice model with Ising anisotropic exchange interactions is studied within the density-matrix renormalization group algorithm. We…

Strongly Correlated Electrons · Physics 2018-06-20 W. Zhu , Jian-xin Zhu

We study the phase diagram and critical behavior of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of…

Statistical Mechanics · Physics 2011-02-16 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We study an XY-rotor model on regular one dimensional lattices by varying the number of neighbours. The parameter $2\ge\gamma\ge1$ is defined. $\gamma=2$ corresponds to mean field and $\gamma=1$ to nearest neighbours coupling. We find that…

Statistical Mechanics · Physics 2013-01-17 Sarah De Nigris , Xavier Leoncini
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