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It is widely believed that mean-field theory is exact for a wide-range of classical long-range interacting systems. Is this also true once quantum fluctuations have been accounted for? As a test case we study the Hamiltonian Mean Field…

Quantum Gases · Physics 2020-02-05 Ryan Plestid , James Lambert

The spin-1 quantum Ising systems with three-spin interactions on two-dimensional triangular lattices are studied by mean-field method. The thermal variations of order parameters and phase diagrams are investigated in detail. The stable,…

Statistical Mechanics · Physics 2020-01-01 Hui Jiang , Xiang-Mu Kong

The Hamiltonian Mean-Field model has been investigated, since its introduction about a decade ago, to study the equilibrium and dynamical properties of long-range interacting systems. Here we study the long-time behavior of long-lived,…

Statistical Mechanics · Physics 2009-11-13 Alessandro Campa , Andrea Giansanti , Gianluca Morelli

We explore the influence of dissipation on a paradigmatic driven-dissipative model where a collection of two level atoms interact with both quadratures of a quantum cavity mode. The closed system exhibits multiple phase transitions…

Quantum Gases · Physics 2018-09-18 Matteo Soriente , Tobias Donner , R. Chitra , Oded Zilberberg

In several unconventional superconductors, the highest superconducting transition temperature $T_{c}$ is found in a region of the phase diagram where the antiferromagnetic transition temperature extrapolates to zero, signaling a putative…

Superconductivity · Physics 2017-05-31 Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

Superconductivity · Physics 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

We study the coupled-top model with three large spins located on a triangle. Depending on the coupling strength, there exist three phases: disordered paramagnetic phase, ferromagnetic phase, and frustrated antiferromagnetic phase, which can…

Strongly Correlated Electrons · Physics 2023-03-16 Liwei Duan , Yan-Zhi Wang , Qing-Hu Chen

On the phase diagram of a system undergoing a continuous phase transition of the second order, three lines, hyper-surfaces, convergent into the critical point feature prominently: the ordered and disordered phases in the thermodynamic…

Statistical Mechanics · Physics 2013-07-16 A. Kashuba

The zero-temperature limit of a continuous phase transition is marked by a quantum critical point, which can generate exotic physics that extends to elevated temperatures. Magnetic quantum criticality is now well known, and has been…

Materials Science · Physics 2019-02-21 Awadhesh Narayan , Andres Cano , Alexander V. Balatsky , Nicola A. Spaldin

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Probability · Mathematics 2007-05-23 Richard S. Ellis , Peter T. Otto , Hugo Touchette

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Statistical Mechanics · Physics 2007-05-23 R. S. Ellis , P. Otto , H. Touchette

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola

The tricritical point, which separates first and second order phase transitions in three-dimensional superconductors, is studied in the four-dimensional Coleman-Weinberg model, and the similarities as well as the differences with respect to…

High Energy Physics - Phenomenology · Physics 2013-06-28 Miguel C. N. Fiolhais , Hagen Kleinert

The interplay of quantum and thermal fluctuations in the vicinity of a quantum critical point characterizes the physics of strongly correlated systems. Here we investigate this interplay from a quantum information perspective presenting the…

Strongly Correlated Electrons · Physics 2018-10-30 Marco Gabbrielli , Augusto Smerzi , Luca Pezzè

We consider interfacial phenomena accompanying bulk quantum phase transitions in presence of surface fields. On general grounds we argue that the surface contribution to the system free energy involves a line of singularities characteristic…

Statistical Mechanics · Physics 2013-05-30 Pawel Jakubczyk

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron systems. A prototype case occurs in the…

Strongly Correlated Electrons · Physics 2011-02-28 Qimiao Si

The dynamics and the thermodynamics of particles/spins interacting via long-range forces display several unusual features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model, a Hamiltonian system of…

Statistical Mechanics · Physics 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

Echoes of quantum phase transitions (QPTs) at finite temperatures are theoretically and experimentally challenging and unexplored topics. Particularly in metallic quantum ferromagnets the experimental investigations are hampered by an…

The two-component Fermi gas is the simplest fermion system displaying superfluidity, and as such finds applications ranging from the theory of superconductivity to QCD. Ultracold atomic gases provide an exceptionally clean realization of…

Other Condensed Matter · Physics 2015-06-25 M. M. Parish , F. M. Marchetti , A. Lamacraft , B. D. Simons

We consider a $\phi^4$-theory with a position-dependent distance from the critical point. One realization of this model is a classical ferromagnet subject to non-uniform mechanical stress. We find a sharp phase transition where the envelope…

Statistical Mechanics · Physics 2009-11-13 D. Belitz , T. R. Kirkpatrick , Ronojoy Saha