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The interplay between disorder, quantum fluctuations and dissipation is studied in the random transverse Ising chain coupled to a dissipative Ohmic bath with a real space renormalization group. A typically very large length scale, L*, is…

无序系统与神经网络 · 物理学 2007-05-23 Gregory Schehr , Heiko Rieger

We study the effects of Ohmic, super-Ohmic, and sub-Ohmic dissipation on the zero-temperature quantum phase transition in the random transverse-field Ising chain by means of an (asymptotically exact) analytical strong-disorder…

无序系统与神经网络 · 物理学 2012-05-03 J. A. Hoyos , Thomas Vojta

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension. At the critical point, the dynamical…

无序系统与神经网络 · 物理学 2009-10-31 C. Pich , A. P. Young , H. Rieger , N. Kawashima

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

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O$(N)$ symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in…

强关联电子 · 物理学 2009-01-06 Thomas Vojta , Chetan Kotabage , J. A. Hoyos

In this paper we provide the theoretical basis for the problem of Griffiths-McCoy singularities close to the quantum critical point for magnetic ordering in U and Ce intermetallics. We show that the competition between Kondo effect and RKKY…

强关联电子 · 物理学 2009-10-31 Antonio H. Castro Neto , Barbara A. Jones

We study numerically the paramagnetic phase of the spin-1/2 random transverse-field Ising chain, using a mapping to non-interacting fermions. We extend our earlier work, Phys. Rev. 53, 8486 (1996), to finite temperatures and to dynamical…

无序系统与神经网络 · 物理学 2009-10-30 A. P. Young

We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

统计力学 · 物理学 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram

We study the effect of spatial correlations in the quenched disorder on random quantum magnets at and near a quantum critical point. In the random transverse field Ising systems disorder correlations that decay algebraically with an…

无序系统与神经网络 · 物理学 2009-10-31 H. Rieger , F. Igloi

We consider random quantum (tight-binding, XX and Ising) spin chains in the off-critical region and study their Griffiths-McCoy singularities. These are obtained from the density of states of the low-energy excitations, which is calculated…

无序系统与神经网络 · 物理学 2010-08-09 Ferenc Iglói , István A. Kovács

The site-diluted transverse field Ising model in two dimensions is studied with Quantum-Monte-Carlo simulations. Its phase diagram is determined in the transverse field (Gamma) and temperature (T) plane for various (fixed) concentrations…

无序系统与神经网络 · 物理学 2009-10-31 T. Ikegami , S. Miyashita , H. Rieger

We study two models having an infinite-disorder critical point --- the zero temperature random transverse-field Ising model and the random contact process --- on a star-like network composed of $M$ semi-infinite chains connected to a common…

无序系统与神经网络 · 物理学 2015-06-19 Róbert Juhász

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

强关联电子 · 物理学 2017-08-23 Subir Sachdev

We report a Monte Carlo study of the effects of {\it fluctuations} in the bond distribution of Ising spin glasses in a transverse magnetic field, in the {\it paramagnetic phase} in the $T\to 0$ limit. Rare, strong fluctuations give rise to…

凝聚态物理 · 物理学 2012-08-17 Muyu Guo , R. N. Bhatt , David A. Huse

We extend the recently introduced strong disorder renormalization group method in real space, well suited to study bond disordered antiferromagnetic power law coupled quantum spin chains, to study excited states, and finite temperature…

无序系统与神经网络 · 物理学 2026-04-23 Stefan Kettemann

We study the $\pm J$ transverse-field Ising spin glass model at zero temperature on d-dimensional hypercubic lattices and in the Sherrington-Kirkpatrick (SK) model, by series expansions around the strong field limit. In the SK model and in…

统计力学 · 物理学 2017-11-02 R. R. P. Singh , A. P. Young

We show that two apparently contradictory theories on the existence of Griffiths-McCoy singularities in magnetic metallic systems [1,2] are in fact mathematically equivalent. We discuss the generic phase diagram of the problem and show that…

强关联电子 · 物理学 2009-11-10 A. H. Castro Neto , B. A. Jones

We study the dissipative dynamics of correlated fermions evolving in presence of a local dephasing bath. To this extent we consider the infinite coordination limit of the corresponding Lindblad master equation, provided by Dynamical…

强关联电子 · 物理学 2025-07-30 Antonio Picano , Matthieu Vanhoecke , Marco Schirò

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 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…

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