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We present numerical evidence for an extended order parameter and conjugate field for the dynamic phase transition in a Ginzburg-Landau mean-field model driven by an oscillating field. The order parameter, previously taken to be the…

Statistical Mechanics · Physics 2015-06-18 Daniel T. Robb , Aaron Ostrander

Apparently conflicting phase-sensitive measurements of the order parameter symmetry in the high-T$_c$ superconductors may be explained by regions near surfaces in which the order parameter symmetry is different than in the bulk. These…

Condensed Matter · Physics 2007-05-23 Safi R. Bahcall

We establish an intriguing connection between quantum phase transitions and bifurcations in the ground-state fidelity per lattice site, and construct the universal order parameter for quantum Ising model in a transverse magnetic field on an…

Strongly Correlated Electrons · Physics 2011-05-17 Sheng-Hao Li , Hong-Lei Wang , Qian-Qian Shi , Huan-Qiang Zhou

We show that the spontaneous symmetry breaking can be defined also for finite systems based on the properly defined jump probability between the ground states in the 2d and 3d Ising models on a square and a cubic lattice respectively. Our…

Statistical Mechanics · Physics 2021-06-25 Fotis K. Diakonos , Yiannis F. Contoyiannis , Stelios M. Potirakis

We extend the superconductor's free energy to include an interaction of the order parameter with the curvature of space-time. This interaction leads to geometry dependent coherence length and Ginzburg-Landau parameter which suggests that…

General Physics · Physics 2017-06-29 Victor Atanasov

The Landau potential in the general Ginzburg-Landau theory with two order parameters and all possible quadratic and quartic terms cannot be minimized with the straightforward algebra. Here, a geometric approach is presented that circumvents…

Superconductivity · Physics 2013-05-29 I. P. Ivanov

Universal features of continuous phase transitions can be investigated by studying the $\phi^4$ field theory with the corresponding global symmetry breaking pattern. When gauge symmetries are present, the same technique is usually applied…

High Energy Physics - Lattice · Physics 2021-10-12 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Due to the fact that only matter fields have phase, frequently is believed that the gauge principle can induce gauge fields only in quantum systems. But this is not necessary. This paper, of pedagogical scope, presents a classical system…

High Energy Physics - Theory · Physics 2007-05-23 Luis Alberto Sanchez , Jorge Mahecha

A chain of singly-charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, depending on the particle number. This structural change is a…

Statistical Mechanics · Physics 2009-11-13 Shmuel Fishman , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi

The field-theoretical model describing multicritical phenomena with two coupled order parameters with n_{||} and n_{\perp} components and of O(n_{||}) \oplus O(n_{\perp}) symmetry is considered. Conditions for realization of different types…

Statistical Mechanics · Physics 2012-12-27 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

Non-linear sigma models that arise from the supersymmetric approach to disordered electron systems contain a non-compact bosonic sector. We study the model with target space H^2, the two-hyperboloid with isometry group SU(1,1), and prove…

Mathematical Physics · Physics 2009-11-10 T. Spencer , M. R. Zirnbauer

We study the order of the phase transition in the 3d U(1)+Higgs theory, which is the Ginzburg-Landau theory of superconductivity. We confirm that for small scalar self-coupling the transition is of first order. For large scalar…

High Energy Physics - Lattice · Physics 2009-10-28 M. Karjalainen , M. Laine , J. Peisa

The Anderson transition between localized and metallic states is traditionally analyzed by assuming a one-parameter scaling hypothesis. Although that hypothesis has been confirmed near two dimensions by epsilon = d-2 expansion of the…

Disordered Systems and Neural Networks · Physics 2023-10-06 Martin R. Zirnbauer

An order parameter with broken polarization symmetry is proposed for the pressure-induced molecular dissociation transitions in nitrogen. The experimental dissociative transition pressure dependence of the calculated order parameter is well…

Materials Science · Physics 2019-10-31 Meifang Pu , Li Lei

We study the spontaneous symmetry breaking of O(3) scalar field on a fuzzy sphere $S_F^2$. We find that the fluctuations in the background of topological configurations are finite. This is in contrast to the fluctuations around a uniform…

High Energy Physics - Theory · Physics 2012-04-25 S. Digal , T. R. Govindarajan

It is shown that in vector-like gauge theories, such as QCD, and in the limit of a large number of colours Nc, the ordering pattern of narrow vector and axial-vector states at low energies is correlated with the size of the possible local…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Knecht , E. de Rafael

Recent theoretical work has derived the correct form of the Ginzburg-Landau differential equations, for the superconducting order parameter and vector potential, in the presence of a small defect. Here, these equations are applied to the…

Superconductivity · Physics 2009-10-30 Mark Friesen , Paul Muzikar

We discuss the phase transition in 3+1 dimensional lambda Phi^4 theory from a very physical perspective. The particles of the symmetric phase (`phions') interact via a hard-core repulsion and an induced, long-range -1/r^3 attraction. If the…

High Energy Physics - Phenomenology · Physics 2016-07-01 M. Consoli , P. M. Stevenson

Quantum field theories with quenched disorder are so hard to study that even exactly solvable free theories present puzzling aspects. We consider a free scalar field $\phi$ in $d$ dimensions coupled to a random source $h$ with quenched…

High Energy Physics - Theory · Physics 2025-07-29 Alessandro Piazza , Marco Serone , Emilio Trevisani

Spontaneous symmetry breaking is related to the appearance of emergent phenomena, while a non-vanishing order parameter has been viewed as the sign of turning into such symmetry breaking phase. Recently, we have proposed a continuous…

Quantum Physics · Physics 2017-11-22 G. H. Dong , Y. N. Fang , C. P. Sun
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