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The two-dimensional antiferromagnetic S=1/2 Heisenberg model with random bond dilution is studied using quantum Monte Carlo simulation at the percolation threshold (50% of the bonds removed). Finite-size scaling of the staggered structure…

强关联电子 · 物理学 2007-05-23 Anders W. Sandvik

The two-dimensional antiferromagnetic S=1/2 Heisenberg model with random site dilution is studied using quantum Monte Carlo simulations. Ground state properties of the largest connected cluster on L*L lattices, with L up to 64, are…

强关联电子 · 物理学 2009-11-07 Anders W. Sandvik

We discuss magnetically ordered ("superfluid") phase near quantum transition to Bose-glass phase in a simple modeling system, Heisenberg antiferromagnet in spatial dimension $d>2$ in external magnetic field with disorder in exchange…

无序系统与神经网络 · 物理学 2017-01-30 A. V. Syromyatnikov , A. V. Sizanov

The interplay of geometric randomness and strong quantum fluctuations is an exciting topic in quantum many-body physics, leading to the emergence of novel quantum phases in strongly correlated electron systems. Recent investigations have…

强关联电子 · 物理学 2010-03-23 Rong Yu , Tommaso Roscilde , Stephan Haas

The study of randomness in low-dimensional quantum antiferromagnets is at the forefront of research in the field of strongly correlated electron systems, yet there have been relatively few experimental model systems. Complementary neutron…

强关联电子 · 物理学 2016-08-31 O. P. Vajk , P. K. Mang , M. Greven , P. M. Gehring , J. W. Lynn

Based on extensive parallel-tempering Monte Carlo simulations, we investigate the relationship between cluster percolation and equilibrium ordering phenomena in the three-dimensional $\pm J$ random-bond Ising model as one varies the…

无序系统与神经网络 · 物理学 2026-03-05 Lambert Münster , Martin Weigel

We show that the long-range order (LRO) strikingly emerges in systems of locally coupled $D$-dimensional vector Kuramoto oscillators on low-dimensional lattices ($d=1,2$), but only for odd $D$. This parity-dependent effect is traced to…

统计力学 · 物理学 2026-04-29 Zhongpu Qiu , Tianyi Wu , Linkai Zhang , Sheng Fang , Jun Meng , Jingfang Fan , Hugues Chaté

We consider frustrated Heisenberg antiferromagnets, whose clean-limit ground state is characterized by non-collinear long-range order with non-zero vector chirality, and study the effects of quenched bond disorder, i.e., random exchange…

强关联电子 · 物理学 2020-02-03 Santanu Dey , Eric C. Andrade , Matthias Vojta

We study the 1D quantum Heisenberg chain with randomly ferromagnetic or antiferromagnetic couplings (a model previously studied by approximate strong-disorder RG). We find that, at least for sufficiently large spin $S$, the ground state has…

强关联电子 · 物理学 2024-08-26 Michele Fava , Jesper Lykke Jacobsen , Adam Nahum

The reduction of 2D superconducting or antiferromagnetic order by random dilution is studied as a model for the 2D diluted Heisenberg antiferromagnet (DHAF) La$_2$Cu$_{1-p}$(Zn,Mg)$_p$O$_4$ and randomly inhomogeneous 2D suerconductors. We…

凝聚态物理 · 物理学 2009-11-10 N. Bray-Ali , J. E. Moore

Understanding the microscopic mechanism of coexisting long-range orders (such as lattice supersolidity) in strongly correlated systems is a subject of immense interest. We study the possible manifestations of long-range orders, including…

强关联电子 · 物理学 2017-09-13 Amrita Ghosh , Sudhakar Yarlagadda

The phase of spins in the quasi-two-dimensional (Q2D) XY model has emerged as a topic of significant interest across multiple physics subfields. Here, we propose a short-range (SR) Q2D XY model defined on a plane perpendicularly intersected…

统计力学 · 物理学 2025-06-25 Minghui Hu , Chao Zhang , Dajun Zhang , Yanan Sun , Youjin Deng , Jian-Ping Lv

Ordering of the Heisenberg spin glass in four dimensions (4D) with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations, with particular attention to its spin and chiral orderings. It is found that…

无序系统与神经网络 · 物理学 2015-08-18 Hikaru Kawamura , Shinichirou Nishikawa

We examine the stability of magnetic order in a classical Heisenberg model with quenched random exchange couplings. This system represents the spin degrees of freedom in high-$T_\textrm{c}$ compounds with immobile dopants. Starting from a…

无序系统与神经网络 · 物理学 2009-11-07 Frank Krüger , Stefan Scheidl

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

量子气体 · 物理学 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

Elastic and inelastic neutron scattering were used to study the ordered phase of the quasi-one-dimensional spin-1/2 antiferromagnet ${\rm BaCu_{2}Si_{2}O_{7}}$. The previously proposed model for the low-temperature magnetic structure was…

We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient…

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

高能物理 - 理论 · 物理学 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

Long range magnetic ordering in the quasi-one-dimensional random-bond antiferromagnet BaCu$_2$(Si$_{1-x}$Ge$_{x}$)$_2$O$_7$ is studied in $\mu$SR experiments as a function of disorder strength. Compared to the disorder-free parent…

强关联电子 · 物理学 2014-12-04 M. Thede , T. Haku , T. Masuda , C. Baines , E. Pomjakushina , G. Dhalenne , A. Revcolevschi , E. Morenzoni , A. Zheludev

We consider a two-layer Heisenberg antiferromagnet which can be either in the N\'{e}el-ordered or in the disordered phase at $T=0$, depending on the ratio of the intra- and interlayer exchange constants. We reduce the problem to an…

凝聚态物理 · 物理学 2016-08-31 Andrey V. Chubukov , Dirk K. Morr
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