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The properties of the ground state of one of the simplest models of frustrated magnetic systems, a dilute Ising chain in a magnetic field, are considered for all values of the concentration of charged non-magnetic impurities. An analytical…

统计力学 · 物理学 2024-01-23 Yury Panov

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally relieves frustration, leading to ordering phenomena. We have studied this system, under such dilution of one sublattice, using hard-spin mean-field…

统计力学 · 物理学 2009-10-31 Huseyin Kaya , A. Nihat Berker

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

强关联电子 · 物理学 2015-06-05 S. E. Korshunov

We report the existence of a large set of ferromagnetic scarred states in the one-dimensional transverse-field Ising model with long-range interactions, in a regime with no ferromagnetic phase at finite temperature. These scarred states are…

统计力学 · 物理学 2026-03-19 Ángel L. Corps , Armando Relaño

We discuss the behaviour of a quantum Hall system when two Landau levels with opposite spin and combined filling factor near unity are brought into energetic coincidence using an in-plane component of magnetic field. We focus on the…

介观与纳米尺度物理 · 物理学 2011-08-05 J. T. Chalker , D. G. Polyakov , F. Evers , A. D. Mirlin , P. Woelfle

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

强关联电子 · 物理学 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can…

统计力学 · 物理学 2007-09-25 Shu Tanaka , Seiji Miyashita

Ising model is a widely studied class of models in quantum computation. In this paper we investigate the computational characteristics of the random field Ising model (RFIM) with long-range interactions that decays as an inverse polynomial…

量子物理 · 物理学 2023-07-26 Fangxuan Liu , L. -M. Duan

We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power alpha of the distance. Using variants of the strong-disorder renormalization group method, the…

无序系统与神经网络 · 物理学 2014-08-25 Róbert Juhász , István A. Kovács , Ferenc Iglói

We study the asymptotic scaling of the entanglement of a block of spins for the ground state of the one-dimensional quantum Ising model with transverse field. When the field is sufficiently strong, the entanglement grows at most…

量子物理 · 物理学 2009-11-13 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

We investigate a class of two-dimensional two-band microscopic models in which the inter-band repulsive interactions play the dominant role. We first demonstrate three different schemes of constraining the ratios between the three types of…

强关联电子 · 物理学 2021-06-23 Xiaoyu Wang , Morten. H. Christensen , Erez Berg , Rafael M. Fernandes

We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $ 6 \le L \le 90 $ in three dimensions with the purpose of verifying the validity of universality for disordered systems. For each…

统计力学 · 物理学 2016-08-31 Nicolas Sourlas

Magnetic phenomena of the superantiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields are studied by employing a mean-field variational approach based on Peierls-Bogoliubov inequality for…

We use quantum Monte Carlo methods and various analytic approximations to solve the Ising spin-glass model in a transverse field in the disordered phase. We focus on the behavior of the frequency dependent susceptibility of the system above…

无序系统与神经网络 · 物理学 2009-10-31 M. J. Rozenberg , D. R. Grempel

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

We study numerically the critical region and the disordered phase of the random transverse-field Ising chain. By using a mapping of Lieb, Schultz and Mattis to non-interacting fermions, we can obtain a numerically exact solution for rather…

凝聚态物理 · 物理学 2009-10-28 A. P. Young , H. Rieger

Topological frustration arises when boundary conditions impose geometric frustration in a quantum system, creating delocalized defects in the ground states and profoundly altering the low-energy properties. While previous studies have been…

A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings and magnetic fields. We prove that the magnetizations,…

数学物理 · 物理学 2024-03-22 Diego Alberici , Pierluigi Contucci , Emanuele Mingione , Filippo Zimmaro

The antiferromagnetic Heisenberg two-leg ladder in the presence of frustration and an external magnetic field is a system that is characterized by two sorts of quantum criticalities, not only one. One criticality is the consequence of…

强关联电子 · 物理学 2009-11-13 Brandon W. Ramakko , Mohamed Azzouz

We analyze the quantum phases, correlation functions and edge modes for a class of spin-1/2 and fermionic models related to the 1D Ising chain in the presence of a transverse field. These models are the Ising chain with anti-ferromagnetic…

强关联电子 · 物理学 2015-12-29 Davide Vodola , Luca Lepori , Elisa Ercolessi , Guido Pupillo