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Related papers: Numerical Study of Excited States in the Shastry-S…

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We study the excitation spectrum in the dimer phase of the Shastry-Sutherland model by using an unbiased variational method that works in the thermodynamic limit. The method outputs dynamical correlation functions in all possible channels.…

Strongly Correlated Electrons · Physics 2018-06-14 Zhentao Wang , Cristian D. Batista

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

The Shastry-Sutherland model, which provides a representation of the magnetic properties of SrCu$_2$(BO$_3$)$_2$, has been studied by series expansion methods at T=0. Our results support the existence of an intermediate phase between the…

Strongly Correlated Electrons · Physics 2007-05-23 Zheng Weihong , J. Oitmaa , C. J. Hamer

We apply a recently developed stochastic method to the Shastry-Sutherland model on 4x4 and 8x8 lattices. This method, which we call the Stochastic State Selection Method here, enables us to evaluate expectation values of powers of the…

Statistical Mechanics · Physics 2009-11-10 Tomo Munehisa , Yasuko Munehisa

Bound states made from two triplet excitations on the Shastry-Sutherland (ShaSu) lattice are investigated. Based on the perturbative unitary transformation by flow equations quantitative properties like dispersions and qualitative…

Strongly Correlated Electrons · Physics 2009-10-31 Christian Knetter , Alexander Buehler , Erwin Mueller-Hartmann , Goetz S. Uhrig

The Shastry-Sutherland model --- the $S=1/2$ Heisenberg antiferromagnet on the square lattice accompanied by orthogonal dimerized interactions --- is studied by the numerical-diagonalization method. Large-scale calculations provide results…

Strongly Correlated Electrons · Physics 2018-11-16 Hiroki Nakano , Toru Sakai

By using the perturbation expansion up to the fifth order, we study the two-triplet-dimer excitation spectra in the Shastry-Sutherland model, where the localized nature of a triplet-dimer, the propagation of a triplet-dimer pair by the…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshiyuki Fukumoto

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

Two recently developed theoretical approaches are applied to the Shastry-Sutherland lattice, varying the ratio $J'/J$ between the couplings on the square lattice and on the oblique bonds. A self-consistent perturbation, starting from either…

Strongly Correlated Electrons · Physics 2007-05-23 Mohamad Al Hajj , Jean-Paul Malrieu

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

The Shastry-Sutherland compound SrCu$_2$(BO$_3$)$_2$ constituting orthogonally coupled dimers harbors a $S=0$ singlet ground state. The confluence of strong interdimer interaction and frustration engenders a spectrum of low-energy…

Ground state energies for plaquette and dimer order in the $J_1-J_2$ square-lattice spin-half Heisenberg model are compared using series expansion methods. We find that these energies are remarkably close to each other at intermediate…

Strongly Correlated Electrons · Physics 2009-10-31 Rajiv R. P. Singh , Zheng Weihong , C. J. Hamer , J. Oitmaa

SrCu2(BO3)2 (SCBO) is a paradigmatic realization of the Shastry-Sutherland model, hosting geometrically frustrated spin dimers and a variety of quantum magnetic phases and phenomena. Although its magnetic properties have been extensively…

We consider two perturbative schemes to calculate excitation energies, each employing the Kohn-Sham Hamiltonian as the unperturbed system. Using accurate exchange-correlation potentials generated from essentially exact densities and their…

Condensed Matter · Physics 2009-10-30 Claudia Filippi , C. J. Umrigar , X. Gonze

We performed variational calculation based on the multi-scale entanglemnt renormalization ansatz, for the antiferromagnetic Heisenberg model on a Shastry Sutherland lattice (SSL). Our results show that at coupling ratio J'/J= 0.687(3), the…

Strongly Correlated Electrons · Physics 2012-12-11 Jie Lou , Takafumi Suzuki , Kenji Harada , Naoki Kawashima

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…

Using the density-matrix renormalization group method for the ground state and excitations of the Shastry- Sutherland spin model, we demonstrate the existence of a narrow quantum spin liquid phase between the previously known…

Strongly Correlated Electrons · Physics 2022-03-01 Jianwei Yang , Anders W. Sandvik , Ling Wang

We study the spin-$1\over2$ Heisenberg antiferromagnet with an antiferromagnetic $J_3$ (third nearest neighbor) interaction on a square lattice. We numerically diagonalize this ``$J_1$-$J_3$'' model on clusters up to 32-sites and search for…

Condensed Matter · Physics 2009-10-28 P. W. Leung , Ngar-wing Lam

We investigate quantum phase transitions of the two-dimensional S=1 Shastry-Sutherland model, which is characterized by the frustrated orthogonal-dimer structure, by means of the exact diagonalization method and the Ising-type series…

Strongly Correlated Electrons · Physics 2009-11-07 Akihisa Koga , Norio Kawakami , Manfred Sigrist

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…

Strongly Correlated Electrons · Physics 2025-04-11 Luciano Loris Viteritti , Riccardo Rende , Alberto Parola , Sebastian Goldt , Federico Becca
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