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The study of critical properties of systems with long-range interactions has attracted in the last decades a continuing interest and motivated the development of several analytical and numerical techniques, in particular in connection with…

统计力学 · 物理学 2020-03-24 Nicolò Defenu , Alessandro Codello , Stefano Ruffo , Andrea Trombettoni

We study the criticality of long-range quantum ferromagnetic Ising chain with algebraically decaying interactions $1/r^{\alpha}$ via the fidelity susceptibility based on the exact diagonalization and the density matrix renormalization group…

量子气体 · 物理学 2018-08-09 Zhangqi Zhu , Gaoyong Sun , Wen-Long You , Da-Ning Shi

The critical behaviour of the one-dimensional q-state Potts model with long-range interactions decaying with distance r as $r^{-(1+\sigma)}$ has been studied in the wide range of parameters $0 < \sigma \le 1$ and $\frac{1}{16} \le q \le…

高能物理 - 格点 · 物理学 2009-10-22 Z Glumac , K Uzelac

Several recent experiments in atomic, molecular and optical systems motivated a huge interest in the study of quantum long-range %spin systems. Our goal in this paper is to present a general description of their critical behavior and…

量子气体 · 物理学 2017-09-27 Nicolo Defenu , Andrea Trombettoni , Stefano Ruffo

This article reports a measurement of the low-energy excitation spectrum along the critical line for a quantum spin chain having a local interaction between three Ising spins and longitudinal and transverse magnetic fields. The measured…

统计力学 · 物理学 2013-05-29 John F. McCabe , Tomasz Wydro

The influence of long-range interactions decaying in d dimensions as 1/R^{d+\sigma} on the critical behavior of systems with Fisher's correlation-function exponent for short-range interactions \eta_{SR}<0, is re-examined. Such systems,…

统计力学 · 物理学 2011-08-17 H. K. Janssen

We investigate the signature of quantum criticality in the long-time stationary state of the long-range Kitaev chain by performing various quench protocols. In this model, the pairing interaction decays with distance according to a power…

量子物理 · 物理学 2025-03-13 Akash Mitra , Sanku Paul , Shashi C. L. Srivastava

We study the critical behavior of the random q-state Potts quantum chain by density matrix renormalization techniques. Critical exponents are calculated by scaling analysis of finite lattice data of short chains ($L \leq 16$) averaging over…

统计力学 · 物理学 2009-10-31 Enrico Carlon , Christophe Chatelain , Bertrand Berche

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

量子气体 · 物理学 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

Based on time-dependent variational principle (TDVP) techniques, we investigate the dynamical critical behavior of quantum three-state Potts chains with chiral interactions. Using Loschmidt echo, order parameter, and entanglement entropy as…

统计力学 · 物理学 2023-12-27 Xue-Jia Yu

Antiferromagnetic Hamiltonians with short-range, non-frustrating interactions are well-known to exhibit long range magnetic order in dimensions, $d\geq 2$ but exhibit only quasi long range order, with power law decay of correlations, in d=1…

强关联电子 · 物理学 2007-05-23 Nicolas Laflorencie , Ian Affleck , Mona Berciu

We study the phase diagram of spin-1 antiferromagnetic chain with isotropic antiferromagnetic interactions decaying with a power-law $\propto r^{-\alpha}$ ($\alpha\ge 1$) accompanied by modulated single-ion anisotropy. Employing the…

强关联电子 · 物理学 2020-07-22 Jie Ren , Wen-Long You , Andrzej M. Oleś

It is demonstrated that the scaled order parameter for ferromagnetic Ising and three-state Potts chains with inverse-square interactions exhibits a universal critical jump, in analogy with the superfluid density in helium films.…

统计力学 · 物理学 2009-11-07 Erik Luijten , Holger Messingfeld

We study the critical breakdown of two-dimensional quantum magnets in the presence of algebraically decaying long-range interactions by investigating the transverse-field Ising model on the square and triangular lattice. This is achieved…

强关联电子 · 物理学 2019-01-09 S. Fey , Sebastian C. Kapfer , K. P. Schmidt

A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the…

统计力学 · 物理学 2007-05-23 S. V. Belim

We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

统计力学 · 物理学 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim

Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. Here, we study quantum phase transitions separating ferromagnetic and…

无序系统与神经网络 · 物理学 2020-12-29 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem sizes. Moreover, as happens with the entanglement entropy, its…

统计力学 · 物理学 2015-06-15 F. C. Alcaraz , M. A. Rajabpour

We study the critical behavior of the short-range p-state Potts spin glass in three and four dimensions using Monte Carlo simulations. In three dimensions, for p = 3, a finite-size scaling analysis of the correlation length shows clear…

无序系统与神经网络 · 物理学 2007-05-23 L. W. Lee , Helmut G. Katzgraber , A. P. Young

Over the past few decades, tremendous efforts have been devoted to understanding self-duality at the quantum critical point, which enlarges the global symmetry and constrains the dynamics. In this letter, we employ large-scale density…

强关联电子 · 物理学 2023-12-27 Sheng Yang , Zhiming Pan , Da-Chuan Lu , Xue-Jia Yu
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