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We study the spin-$1/2$ two-dimensional Shastry-Sutherland spin model by exact diagonalization of clusters with periodic boundary conditions. We develop an improved level spectroscopic technique using energy gaps between states with…

Strongly Correlated Electrons · Physics 2022-07-13 Ling Wang , Yalei Zhang , Anders W. Sandvik

The Shastry-Sutherland model is an effective model of the layered material SrCu$_2$(BO$_3$)$_2$, which exhibits an extremely rich phase diagram as a function of pressure and magnetic field. Motivated by the recent controversy regarding its…

Strongly Correlated Electrons · Physics 2026-05-12 Philippe Corboz , Yining Zhang , Boris Ponsioen , Frédéric Mila

We demonstrate the existence of a topological chiral spin liquid in the frustrated Shastry-Sutherland Heisenberg model with an additional spin chirality interaction, using numerically unbiased exact diagonalization and density matrix…

Strongly Correlated Electrons · Physics 2024-03-06 Jian-Wei Yang , Wei-Wei Luo , W. Zhu , L. Wang , Bo Yang , Pinaki Sengupta

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…

Strongly Correlated Electrons · Physics 2023-09-15 Junsen Wang , Han Li , Ning Xi , Yuan Gao , Qing-Bo Yan , Wei Li , Gang Su

Motivated by the novel phenomena observed in the layered material $\rm SrCu_2(BO_3)_2$, the Shastry-Sutherland model (SSM) has been extensively studied as the minimal model for $\rm SrCu_2(BO_3)_2$. However, the nature of its quantum phase…

Strongly Correlated Electrons · Physics 2024-07-11 Wen-Yuan Liu , Xiao-Tian Zhang , Zhe Wang , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

We investigate the quantum phase transitions in the frustrated antiferromagnetic Heisenberg model for $\rm SrCu_2(BO_3)_2$ by using the series expansion method. It is found that a novel spin-gap phase, which is adiabatically connected to…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Norio Kawakami

We report heat capacity measurements of SrCu$_2$(BO$_3$)$_2$ under high pressure along with simulations of relevant quantum spin models and map out the $(P,T)$ phase diagram of the material. We find a first-order quantum phase transition…

We study a possible deconfined quantum phase transition in a realistic model of a two-dimensional Shastry-Sutherland quantum magnet, using both numerical and field theoretic techniques. Using the infinite density matrix renormalization…

Strongly Correlated Electrons · Physics 2019-11-27 Jong Yeon Lee , Yi-Zhuang You , Subir Sachdev , Ashvin Vishwanath

Motivated by recent experimental and numerical evidences of deconfined quantum critical point and quantum spin-liquid states in spin-$1/2$ Heisenberg model on Shastry-Sutherland lattice, we studied possible symmetric spin liquid states and…

Strongly Correlated Electrons · Physics 2024-04-23 Ke Liu , Fa Wang

At the familiar liquid-gas phase transition in water, the density jumps discontinuously at atmospheric pressure, but the line of these first-order transitions defined by increasing pressures terminates at the critical point, a concept…

The deconfined quantum critical point (DQCP) has become a central open concept in the physics of quantum matter, and its proposed presence in the Shastry-Sutherland model was followed by the experimental observation of at least a minimal…

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…

Strongly Correlated Electrons · Physics 2012-02-20 S. Haravifard , A. Banerjee , J. C. Lang , G. Srajer , D. M. Silevitch , B. D. Gaulin , H. A. Dabkowska , T. F. Rosenbaum

The study of interacting spin systems is of fundamental importance for modern condensed matter physics. On frustrated lattices, magnetic exchange interactions cannot be simultaneously satisfied, and often give rise to competing exotic…

The Shastry-Sutherland model as a canonical example of frustrated magnetism has been extensively studied. The conventional wisdom has been that the transition from the plaquette valence bond order to the Neel order is direct and potentially…

Strongly Correlated Electrons · Physics 2022-02-02 Ahmet Keles , Erhai Zhao

The ground state phase of spin-1/2 $J_1$-$J_2$ antiferromagnetic Heisenberg model on square lattice around the maximally frustrated regime ($J_2\sim 0.5J_1$) has been debated for decades. Here we study this model using the cluster update…

Strongly Correlated Electrons · Physics 2016-08-24 Ling Wang , Zheng-Cheng Gu , Frank Verstraete , Xiao-Gang Wen

We describe a new kind of quantum critical point in the context of quantum anti-ferromagnetism in 2d that can be understood as a quantum critical spin liquid. Based on the comparison of exponents with previous numerical work, we argue it…

Strongly Correlated Electrons · Physics 2007-05-23 André LeClair

Two quantum spin models with bilinear-biquadratic exchange interactions are constructed on the checkerboard lattice. It is proved that, under certain sufficient conditions on the exchange parameters, their ground states consist of two…

Strongly Correlated Electrons · Physics 2012-11-01 Brijesh Kumar

We study the ground state phase diagram of the Shastry-Sutherland model by using the variational optimization of the infinite tensor network states, and find a weakly first-order transition between the plaquette and the antiferromagnetic…

Strongly Correlated Electrons · Physics 2024-06-19 Ning Xi , Hongyu Chen , Z. Y. Xie , Rong Yu

We study possible paramagnetic phases of antiferromagnets on the Shastry-Sutherland lattice by a gauge-theoretic analysis of fluctuations in a theory with Sp(2N) symmetry. In addition to the familiar dimer phase, we find a confining phase…

Strongly Correlated Electrons · Physics 2007-05-23 C. H. Chung , J. B. Marston , Subir Sachdev

Antiferromagnets on the Shastry-Sutherland lattice have attracted lots of research interest due to the possible existence of deconfined criticality. In the present work, we study the $J_1$-$J_2$-$J_r$ model using Variational Monte Carlo…

Strongly Correlated Electrons · Physics 2026-03-16 Lvcheng Chen , Zheng-Xin Liu
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