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The classical Ising chain is the paradigm for the non-existence of phase transitions in 1D systems and was solved by Ernst Ising one hundred years ago. More recently, a decorated two leg Ising ladder has received interest for the curious…

统计力学 · 物理学 2024-09-30 Joseph Chapman , Bruno Tomasello , Sam T. Carr

We investigate a deformable spin-1/2 Ising chain subjected to either a longitudinal or a transverse magnetic field, which incorporates a magnetoelastic coupling linearly dependent on a lattice distortion parameter. Within the harmonic and…

统计力学 · 物理学 2026-03-09 David Sivy , Jozef Strecka

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two…

凝聚态物理 · 物理学 2009-10-22 A. Crisanti , H. Rieger

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

统计力学 · 物理学 2015-05-14 Anindita Ganguli , Subinay Dasgupta

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

统计力学 · 物理学 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or…

统计力学 · 物理学 2021-06-02 Ibrahim Kecoglu , A. Nihat Berker

The thermal phase transitions of a spin-1/2 Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field are investigated using a decoration-iteration transformation and classical Monte Carlo simulations. A generalized…

We have studied the antiferromagnetic Ising chain in a transverse magnetic field $h_{x}$ and uniform longitudinal field $h_{z}$. Using the density matrix renormalization group calculation combined with a finite-size scaling the ground state…

强关联电子 · 物理学 2009-11-10 A. A. Ovchinnikov , D. V. Dmitriev , V. Ya. Krivnov , V. O. Cheranovskii

Quantum phase transitions induced by an external magnetic field in the Haldane-gapped spin-1 chains are studied in a fermionic field-theoretic description of the model. In the case with broken axial symmetry, two transitions occurs…

强关联电子 · 物理学 2007-05-23 Y. -J. Wang

The antiferromagnetic quantum Ising chain has a quantum critical point which belongs to the universality class of the transverse Ising model (TIM). When a longitudinal field ($h$) is switched on, the phase transition is preserved, which…

统计力学 · 物理学 2021-05-12 Péter Lajkó , Ferenc Iglói

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character…

统计力学 · 物理学 2007-05-23 Philipp Werner , Klaus Voelker , Matthias Troyer , Sudip Chakravarty

We study the phase transition of the Ising model in networks with core-periphery structures. By Monte Carlo simulations, we show that prior to the order-disorder phase transition the system organizes into an inhomogeneous intermediate phase…

统计力学 · 物理学 2018-06-12 Hanshuang Chen , Haifeng Zhang , Chuansheng Shen

The phase transitions in the transverse field Ising model in a competing spatially modulated (periodic and oscillatory) longitudinal field are studied numerically. There is a multiphase point in absence of the transverse field where the…

统计力学 · 物理学 2016-08-31 Parongama Sen

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

The dynamics of a random (quenched) field Ising model (in two dimension) at zero temperature in the presence of an additional sinusoidally oscillating homogeneous (in space) magnetic field has been studied by Monte Carlo simulation using…

凝聚态物理 · 物理学 2015-06-25 Muktish Acharyya

We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase transitions in the range of the interaction \delta where…

统计力学 · 物理学 2012-07-18 Jacyana S. M. Fonseca , Leandro G. Rizzi , Nelson A. Alves

The antiferromagnetic Ising chain in both transverse and longitudinal magnetic fields is one of the paradigmatic models of a quantum phase transition. The antiferromagnetic system exhibits a zero-temperature critical line separating an…

无序系统与神经网络 · 物理学 2017-08-30 Yu-Ping Lin , Ying-Jer Kao , Pochung Chen , Yu-Cheng Lin

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure…

无序系统与神经网络 · 物理学 2009-11-10 Leticia F. Cugliandolo , Gustavo S. Lozano , Homero Lozza

A hybrid spin-electron system defined on one-dimensional double-tetrahedral chain, in which the localized Ising spin regularly alternates with two mobile electrons delocalized over a triangular plaquette, is exactly solved with the help of…

统计力学 · 物理学 2015-06-23 Lucia Galisova , Jozef Strecka

We study field-induced phase transitions in the two-dimensional dipolar Ising ferromagnet with a specific ratio between the exchange and dipolar constants, $\delta=1$, which exhibits a stripe-ordered phase with the width of one lattice unit…

统计力学 · 物理学 2018-12-26 Hisato Komatsu , Yoshihiko Nonomura , Masamichi Nishino
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