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The thermodynamic properties of the Shastry-Sutherland model have posed one of the longest-lasting conundrums in frustrated quantum magnetism. Over a wide range on both sides of the quantum phase transition (QPT) from the dimer-product to…

We study an extended two-dimensional Shastry-Sutherland model in a magnetic field where besides the usual Heisenberg exchanges of the Shastry-Sutherland model two additional SU(2) invariant couplings are included. Perturbative continous…

强关联电子 · 物理学 2009-11-13 K. P. Schmidt , J. Dorier , F. Mila

The layered material SrCu$_2$(BO$_3$)$_2$ has long been studied because of its fascinating physics in a magnetic field and under pressure. Many of its properties are remarkably well described by the Shastry-Sutherland model (SSM) - a…

强关联电子 · 物理学 2023-10-04 Patrick C. G. Vlaar , Philippe Corboz

Inspired by recent experimental measurements [Guo \textit{et al.}, Phys. Rev. Lett.~\textbf{124}, 206602 (2020); Jim\'enez \textit{et al.}, Nature \textbf{592}, 370 (2021)] on frustrated quantum magnet SrCu$_2$(BO$_3$)$_2$ under combined…

强关联电子 · 物理学 2023-09-15 Junsen Wang , Han Li , Ning Xi , Yuan Gao , Qing-Bo Yan , Wei Li , Gang Su

We performed two-dimensional simulated tempering (ST) simulations of the two-dimensional Ising model with different lattice sizes in order to investigate the two-dimensional ST's applicability to dealing with phase transitions and to study…

统计力学 · 物理学 2015-06-05 Tetsuro Nagai , Yuko Okamoto

We examine ground state properties of the spin-1/2 easy-axis Heisenberg model on the Shastry-Sutherland lattice with ferromagnetic transverse spin exchange using quantum Monte Carlo and degenerate perturbation theory. For vanishing…

强关联电子 · 物理学 2010-04-20 Zi Yang Meng , Stefan Wessel

Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice with Heisenberg intra-dimer and Ising inter-dimer couplings are found by two independent rigorous procedures. The first method uses a unitary…

统计力学 · 物理学 2014-10-21 Taras Verkholyak , Jozef Strecka , Frederic Mila , Kai P. Schmidt

Understanding quantum magnetism in two-dimensional systems represents a lively branch in modern condensed-matter physics. In the presence of competing super-exchange couplings, magnetic order is frustrated and can be suppressed down to zero…

强关联电子 · 物理学 2025-04-11 Luciano Loris Viteritti , Riccardo Rende , Alberto Parola , Sebastian Goldt , Federico Becca

The Ising model on a $restricted$ scale-free network (SFN) has been studied employing Monte Carlo simulations. This network is described by a power-law degree distribution in the form $P(k)~k^{-\alpha}$, and is called restricted, because…

统计力学 · 物理学 2023-05-24 R. A. Dumer , M. Godoy

Under magnetic fields, quantum magnets often undergo exotic phase transitions with various kinds of order. The discovery of a sequence of fractional magnetization plateaus in the Shastry-Sutherland compound SrCu2(BO3)2 has played a central…

强关联电子 · 物理学 2023-06-27 T. Nomura , P. Corboz , A. Miyata , S. Zherlitsyn , Y. Ishii , Y. Kohama , Y. H. Matsuda , A. Ikeda , C. Zhong , H. Kageyama , F. Mila

We investigate the Kitaev-Heisenberg (KH) model at finite temperature using the exact environment full update (eeFU), introduced in Phys. Rev. B 99, 035115 (2019), which represents the purification of a thermal density matrix on an infinite…

强关联电子 · 物理学 2019-11-06 Piotr Czarnik , Anna Francuz , Jacek Dziarmaga

We benchmark recently proposed tensor network based finite-size scaling analysis in Phys. Rev. B {\bf 107}, 205123 (2023) against two-dimensional classical 3-state clock model. Due to the higher complexity of the model, more complicated…

强关联电子 · 物理学 2025-02-04 Debasmita Maiti , Sing-Hong Chan , Pochung Chen

The Shastry-Sutherland model, which consists of a set of spin 1/2 dimers on a 2-dimensional square lattice, is simple and soluble, but captures a central theme of condensed matter physics by sitting precariously on the quantum edge between…

Spin-1/2 Heisenberg model on the Shastry-Sutherland lattice is considered within the many-body perturbation theory developed from the exactly solved spin-1/2 Ising-Heisenberg model with the Heisenberg intradimer and Ising interdimer…

强关联电子 · 物理学 2022-02-09 T. Verkholyak , J. Strecka

Systems with quenched disorder possess complex energy landscapes that are challenging to explore under the conventional Monte Carlo method. In this work, we implement an efficient entropy sampling scheme for accurate computation of the…

无序系统与神经网络 · 物理学 2025-05-08 Yi Liu , Ding Wang , Xin Wang , Dao-Xin Yao , Lei-Han Tang

Numerical annealing and renormalization group have conceived various successful approaches to study the thermodynamics of strongly-correlated systems where perturbation or expansion theories fail to work. As the process of lowering the…

量子物理 · 物理学 2022-05-02 Ding-Zu Wang , Guo-Feng Zhang , Maciej Lewenstein , Shi-Ju Ran

We find unconventional Mott insulators in a quasi-2D version of the Shastry-Sutherland model in a magnetic field. In our realization on a 4-leg tube geometry, these are stabilized by correlated hopping of localized magnetic excitations.…

强关联电子 · 物理学 2014-09-29 G. R. Foltin , S. R. Manmana , K. P. Schmidt

Using perturbative continuous unitary transformations, we determine the long-range interactions between triplets in the Shastry-Sutherland model, and we show that an unexpected structure develops at low magnetization with plateaux…

强关联电子 · 物理学 2014-09-29 J. Dorier , K. P. Schmidt , F. Mila

Tensor networks offer a sign-problem-free approach to study lattice gauge theories, but extracting precise universal information associated with the deconfinement transition remains challenging. In this work, we study the deconfinement…

高能物理 - 理论 · 物理学 2026-02-18 Adwait Naravane , Yuto Sugimoto , Shinichiro Akiyama , Jutho Haegeman , Atsushi Ueda

The two-dimensional (2D) random-bond Ising model has a novel multicritical point on the ferromagnetic to paramagnetic phase boundary. This random phase transition is one of the simplest examples of a 2D critical point occurring at both…

统计力学 · 物理学 2009-10-28 Sora Cho , Matthew P. A. Fisher