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The ferromagnetic transition in the Ising model is the paradigmatic example of ergodicity breaking accompanied by symmetry breaking. It is routinely assumed that the thermodynamic limit is taken with free or periodic boundary conditions.…

统计力学 · 物理学 2019-04-18 Annalisa Fierro , Antonio Coniglio , Marco Zannetti

We study the three-dimensional antiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields by using the effective-field theory with finite cluster $N=1$ spin (EFT-1). We analyzed the behavior…

The quantum phase transitions provide a paradigm for studying collective quantum phenomena that are a result of competing non-commuting interactions. This paper will study the ground state properties and quantum critical dynamics of the…

量子物理 · 物理学 2026-01-27 Rudraksh Sharma

We study the surface phase diagram of the three-dimensional kinetic Ising model below the equilibrium critical point subjected to a periodically oscillating magnetic field. Changing the surface interaction strength as well as the period of…

统计力学 · 物理学 2014-03-19 Keith Tauscher , Michel Pleimling

The unbinding properties of an interface near structured wedges are investigated by discrete models with short range interactions. The calculations demonstrate that interface unbinding take place in two stages: $i$) a continuous…

统计力学 · 物理学 2009-11-11 Gilberto Giugliarelli

The bulk and boundary magnetizations are calculated for the critical Ising model on a randomly triangulated disk in the presence of a boundary magnetic field h. In the continuum limit this model corresponds to a c = 1/2 conformal field…

高能物理 - 理论 · 物理学 2008-11-26 Sean M. Carroll , Miguel E. Ortiz , Washington Taylor

We demonstrate the presence of an extended critical phase in the transverse field Ising magnet on the triangular lattice, in a regime where both thermal and quantum fluctuations are important. We map out a complete phase diagram by means of…

统计力学 · 物理学 2007-05-23 S. V. Isakov , R. Moessner

Geometrical frustration in spin systems often results in a large number of degenerate ground states. In this work we study the antiferromagnetic Ising model on the three dimensional swedenborgite lattice which is a specific stacking of…

强关联电子 · 物理学 2014-10-01 Stefan Buhrandt , Lars Fritz

Based on the obtained exact results we systematically study the quench dynamics of a one-dimensional spin-1/2 transverse field Ising model with zero- and finite-temperature initial states. We focus on the magnetization of the system after a…

统计力学 · 物理学 2009-08-11 Ying Li , M. X. Huo , Z. Song

We propose a new quantum model interpolating between the fully frustrated spin-1/2 Ising model in a transverse field and a dimer model. This model contains a resonating-valence-bond phase, including a line with an exactly solvable ground…

强关联电子 · 物理学 2011-06-27 Dmitri A. Ivanov , S. E. Korshunov

The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization at equilibrium have nontrivial dynamics even in this limit.…

统计力学 · 物理学 2023-07-03 V. N. Gorshkov , N. A. Sinitsyn , D. Mozyrsky

Inspired by current research on measurement-induced quantum phase transitions, we analyze the nonunitary Floquet transverse-field Ising model with complex nearest-neighbor couplings and complex transverse fields. Unlike its unitary…

量子物理 · 物理学 2024-02-02 Lei Su , Aashish Clerk , Ivar Martin

Despite of simplicity of the transverse antiferromagnetic Ising model with a uniform longitudinal field, its phases and involved quntum phase transitions (QPTs) are nontrivial in comparison to its ferromagnetic counterpart. For example,…

统计力学 · 物理学 2025-11-19 Yun-Tong Yang , Hong-Gang Luo

Using numerical simulations we investigate the properties of the dynamic phase transition that is encountered in the three-dimensional Ising model subjected to a periodically oscillating magnetic field. The values of the critical exponents…

统计力学 · 物理学 2013-04-01 Hyunhang Park , Michel Pleimling

We investigate interfacial structural and fluctuation effects occurring at continuous filling transitions in 3D wedge geometries. We show that fluctuation-induced wedge covariance relations that have been reported recently for 2D filling…

统计力学 · 物理学 2009-11-10 M. J. Greenall , A. O. Parry , J. M. Romero-Enrique

A novel cellular automaton with update rules reversed with the environment depending on the cell, is frustrated through its von Neumann and Moore neighborhoods and evolved anisotropically. Addition of fine tuning and coupling plots the…

元胞自动机与格子气 · 物理学 2023-10-16 Goktug Islamoglu

We study an infinite range ferromagnetic Ising model in the presence of a transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic phase transition at a critical value of the transverse field. In the thermodynamic…

统计力学 · 物理学 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

We study 2D wedge wetting using a continuum interfacial Hamiltonian model which is solved by transfer-matrix methods. For arbitrary binding potentials, we are able to exactly calculate the wedge free-energy and interface height distribution…

凝聚态物理 · 物理学 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood

We show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete…

凝聚态物理 · 物理学 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood

We consider fluid wetting on a corrugated substrate using effective interfacial Hamiltonian theory and show that breaking the translational invariance along the wall can induce an 'unbending' phase transition in addition to unbinding. Both…

软凝聚态物质 · 物理学 2009-10-31 C. Rascon , A. O. Parry , A. Sartori