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Conventional ordering transitions, described by the Landau paradigm, are characterized by the symmetries broken at the critical point. Within the constrained manifold occurring at low temperatures in certain frustrated systems,…

Statistical Mechanics · Physics 2014-01-14 Stephen Powell

Certain classical statistical systems with strong local constraints are known to exhibit Coulomb phases, where long-range correlation functions have power-law forms. Continuous transitions from these into ordered phases cannot be described…

Statistical Mechanics · Physics 2008-07-26 Stephen Powell , J. T. Chalker

In the pure U(1) lattice gauge theory with the Villain action we find that the monopole mass in the Coulomb phase and the monopole condensate in the confinement phase scale according to simple power laws. This holds outside the coupling…

High Energy Physics - Lattice · Physics 2015-06-25 J. Jersak , T. Neuhaus , H. Pfeiffer

We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the…

Statistical Mechanics · Physics 2009-10-30 Erik Luijten , Henk W. J. Blöte , Kurt Binder

We study the phase transition between the high temperature Coulomb phase and the low temperature staggered crystal phase in three dimensional classical O(N) spin-ice model. Compared with the previously proposed CP(1) formalism on the…

Statistical Mechanics · Physics 2015-05-14 Cenke Xu

Further evidence is presented for the existence of a non-confining phase at weak coupling in SU(2) lattice gauge theory. Using Monte Carlo simulations with the standard Wilson action, gauge-invariant SO(3)-Z2 monopoles, which are…

High Energy Physics - Lattice · Physics 2015-06-16 Michael Grady

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

Spin ice is a frustrated magnetic system that at low temperatures exhibits a Coulomb phase, a classical spin liquid with topological order and deconfined excitations. This work establishes the presence of a Coulomb phase with coexisting…

Statistical Mechanics · Physics 2015-03-30 Stephen Powell

One of the most remarkable examples of emergent quasi-particles, is that of the "fractionalization" of magnetic dipoles in the low energy configurations of materials known as "spin ice", into free and unconfined magnetic monopoles…

Other Condensed Matter · Physics 2015-03-17 Ludovic D. C. Jaubert , Peter C. W. Holdsworth

Frustrated magnets such as spin ice exhibit Coulomb phases, where correlations have power-law forms at long distances. Applied perturbations can cause ordering transitions which cannot be described by the usual Landau paradigm, and are…

Statistical Mechanics · Physics 2014-01-14 Stephen Powell

We present non-equilibrium physics in spin ice as a novel setting which combines kinematic constraints, emergent topological defects, and magnetic long range Coulomb interactions. In spin ice, magnetic frustration leads to highly degenerate…

Strongly Correlated Electrons · Physics 2014-03-20 Sarah Mostame , Claudio Castelnovo , Roderich Moessner , Shivaji L. Sondhi

We calculate the single-particle momentum distribution of a quantum many-particle system in the presence of the Coulomb interaction and a confining potential. The region of intermediate momenta, where the confining potential dominates,…

Other Condensed Matter · Physics 2020-07-21 J. A. E. Bonart , W. H. Appelt , D. Vollhardt , L. Chioncel

Activated scaling is confirmed to hold in transverse field induced phase transitions of randomly diluted Ising systems. Quantum Monte Carlo calculations have been made not just at the percolation threshold but well bellow and above it…

Statistical Mechanics · Physics 2009-10-31 M. I. Marques , J. A. Gonzalo

Attempts to understand zero temperature phase transitions have forced physicists to consider a regime where the standard paradigms of condensed matter physics break down [1-4]. These quantum critical systems lack a simple description in…

Quantum Gases · Physics 2012-07-04 Kaden R. A. Hazzard , Erich J. Mueller

When a classical system is driven through a continuous phase transition, its nonequilibrium response is universal and exhibits Kibble-Zurek scaling. We explore this dynamical scaling in the novel context of a three-dimensional topological…

Strongly Correlated Electrons · Physics 2016-06-29 James Hamp , Anushya Chandran , Roderich Moessner , Claudio Castelnovo

We present a dynamic scaling theory to describe relaxation dynamics following a magnetic-field quench near an unconventional phase transition in the magnetic material spin ice. Starting from a microscopic model, we derive an effective…

Statistical Mechanics · Physics 2025-06-25 Stephen Powell , Sukla Pal

We study the low-temperature behaviour of spin ice when uniaxial pressure induces a tetragonal distortion. There is a phase transition between a Coulomb liquid and a fully magnetised phase. Unusually, it combines features of discontinuous…

Statistical Mechanics · Physics 2010-09-07 Ludovic D. C. Jaubert , J. T. Chalker , Peter C. W. Holdsworth , R. Moessner

The emergent gauge field characteristic of the Coulomb phase of spin ice betrays its existence via pinch points in the spin structure factor ${\cal{S}}$ in reciprocal space which takes the form of a transverse projector ${\cal{P}}$ at low…

Strongly Correlated Electrons · Physics 2015-06-12 Arnab Sen , R. Moessner , S. L. Sondhi

We investigate the lattice Coulomb glass model in three dimensions via Monte Carlo simulations. No evidence for an equilibrium glass phase is found down to very low temperatures, although the correlation length increases rapidly near T=0. A…

Disordered Systems and Neural Networks · Physics 2009-07-27 Martin Goethe , Matteo Palassini

We observe the power law scaling behavior of the monopole mass and condensate in the pure compact U(1) gauge theory with the Villain action. In the Coulomb phase the monopole mass scales with the exponent \nu_m=0.49(4). In the confinement…

High Energy Physics - Lattice · Physics 2009-10-31 J. Jersak , T. Neuhaus , H. Pfeiffer
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