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Related papers: Quantum Phase Transitions in the Shastry-Sutherlan…

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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

We present the zero temperature phase diagram of a Heisenberg antiferromagnet on a frustrated triangular lattice with nearest neighbor ($J_1$) and next nearest neighbor ($J_2$) interactions, in a magnetic field. We show that the classical…

Strongly Correlated Electrons · Physics 2017-05-25 Mengxing Ye , Andrey V. Chubukov

We show that phase transitions in spin-one Bose gases and stacked triangular Heisenberg antiferromagnets -- an example of frustrated magnets with competing interactions -- are described by the same Landau-Ginzburg-Wilson Hamiltonian with…

Quantum Gases · Physics 2016-11-28 T. Debelhoir , N. Dupuis

We propose quantum phase transitions beyond the Landau's paradigm of Sp(4) spin Heisenberg models on the triangular and square lattices, motivated by the exact Sp(4)$\simeq$ SO(5) symmetry of spin-3/2 fermionic cold atomic system with only…

Strongly Correlated Electrons · Physics 2008-11-26 Yang Qi , Cenke Xu

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…

We investigate the quantum spin-1/2 zigzag chain with frustrated $J_1$-$J_2$ Heisenberg interactions, incorporating additional off-diagonal exchange interactions known as the $\Gamma$ term, both with and without an applied magnetic field.…

Strongly Correlated Electrons · Physics 2024-08-02 Hidehiro Saito , Chisa Hotta

We systematically study the effects of higher-order interactions on the S = 3/2, 1 orthogonal dimer chains using exact diagonalization and density matrix renormalization group. Due to frustration and higher spin, there are rich quantum…

Strongly Correlated Electrons · Physics 2023-12-06 Ke Ren , Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu

We analyze the possible types of ordering in a boson--fermion model. The Hamiltonian is inherently related to the Bose--Hubbard model for vector two-species bosons in optical lattices. We show that such model can be reduced to the…

Strongly Correlated Electrons · Physics 2017-09-28 A. M. Belemuk , N. M. Chtchelkatchev , A. V. Mikheyenkov , K. I. Kugel

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

Using the J_1-J_2 model, we present a description of quantum phase transition from Neel ordered to the spin-liquid state based on the modified spin wave theory. The general expression for the gap in the spectrum in the spin-liquid phase is…

Condensed Matter · Physics 2009-10-22 A. Dotsenko , O. Sushkov

Building on the growing evidence based on NMR, magnetization, neutron scattering, ESR, and specific heat that, under pressure, SrCu$_2$(BO$_3$)$_2$ has an intermediate phase between the dimer and the N\'eel phase, we study the competition…

Strongly Correlated Electrons · Physics 2019-11-06 C. Boos , S. P. G. Crone , I. A. Niesen , P. Corboz , K. P. Schmidt , F. Mila

The quantum phase transition, scaling behaviors, and thermodynamics in the spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on a honeycomb…

Strongly Correlated Electrons · Physics 2016-06-08 Yi-Zhen Huang , Bin Xi , Xi Chen , Wei Li , Zheng-Chuan Wang , Gang Su

We use linked-cluster series expansions, both at T=0 and high temperature, to analyse the phase structure of the spin-$\half$ Heisenberg antiferromagnet with competing first and second-neighbor interactions on the 3-dimensional…

Condensed Matter · Physics 2009-11-10 Jaan Oitmaa , Weihong Zheng

We investigate excited states of the Shastry-Sutherland model using a kind of variational method. Starting from various trial states which include one or two triplet dimers, we numerically pursue the best evaluation of the energy for each…

Strongly Correlated Electrons · Physics 2016-08-31 Tomo Munehisa , Yasuko Munehisa

We study the spin-$1/2$ ferromagnetic Heisenberg-Kitaev-$\Gamma$ model in the anisotropic (Toric code) limit to reveal the nature of the quantum phase transition between the gapped $Z_2$ quantum spin liquid and a spin ordered phase (driven…

Strongly Correlated Electrons · Physics 2021-01-04 Animesh Nanda , Kusum Dhochak , Subhro Bhattacharjee

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…

Strongly Correlated Electrons · Physics 2010-04-20 Zi Yang Meng , Stefan Wessel

We study the ground state and the phase transitions of the bilayered spin-$S$ antiferromagnetic Heisenberg model using the Schwinger boson mean field theory. The interplane coupling initially stabilizes but eventually destroys the…

Condensed Matter · Physics 2007-05-23 Kwai-Kong Ng , Fu Chun Zhang , Michael Ma

Using a new version of the density-matrix renormalization group we determine the phase diagram of a model of an antiferromagnetic Heisenberg spin chain where the spins interact with quantum phonons. A quantum phase transition from a gapless…

Condensed Matter · Physics 2009-10-31 Robert J. Bursill , Ross H. McKenzie , Chris J. Hamer

The $J_1$-$J_2$ spin chain is one of the canonical models of quantum magnetism, and has long been known to host a critical antiferromagnetic phase with power-law decay of spin correlations. We show in this Letter that there are, in fact,…

Statistical Mechanics · Physics 2025-10-29 Adam J. McRoberts , Chris Hooley , A. G. Green

Strongly correlated systems with geometric frustrations can host the emergent phases of matter with unconventional properties. Here, we study the spin $S = 1$ Heisenberg model on the honeycomb lattice with the antiferromagnetic first-…

Strongly Correlated Electrons · Physics 2015-11-10 Shou-Shu Gong , Wei Zhu , D. N. Sheng