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Motivated by recent experiments on the material Ba_3NiSb_2O_9 we consider a spin-one quantum antiferromagnet on a triangular lattice with the Heisenberg bilinear and biquadratic exchange interactions and a single-ion anisotropy. Using a…

强关联电子 · 物理学 2012-08-30 Maksym Serbyn , T. Senthil , Patrick A. Lee

The spin liquid state of the antiferromagnetic Heisenberg model on a triangular lattice is studied within the self-consistent Green's function method. It is shown that the spin excitation spectra is gapless, and ground-state energy per site…

强关联电子 · 物理学 2009-10-31 Zhan-hai Dong , Shiping Feng

We study the interplay of competing interactions in spin-$1/2$ triangular Heisenberg model through tuning the first- ($J_1$), second- ($J_2$), and third-neighbor ($J_3$) couplings. Based on large-scale density matrix renormalization group…

强关联电子 · 物理学 2019-12-25 Shou-Shu Gong , Wayne Zheng , Mac Lee , Yuan-Ming Lu , D. N. Sheng

We propose a novel quantum spin liquid state that can explain many of the intriguing experimental properties of the low-temperature phase of the organic spin liquid candidate materials. This state of paired fermionic spinons preserves all…

强关联电子 · 物理学 2013-10-18 Ryan V. Mishmash , James R. Garrison , Samuel Bieri , Cenke Xu

Recent experiments indicate that Na$_4$Ir$_3$O$_8$, a material in which s=1/2 iridium local moments form a three dimensional network of corner-sharing triangles, may have a quantum spin liquid ground state with gapless spin excitations.…

强关联电子 · 物理学 2009-11-13 Michael Lawler , Arun Paramekanti , Yong Baek Kim , Leon Balents

By using Gutzwiller projected fermionic wave functions and variational Monte Carlo technique, we study the spin-$1/2$ Heisenberg model with the first-neighbor ($J_1$), second-neighbor ($J_2$), and additional scalar chiral interaction…

强关联电子 · 物理学 2016-09-07 Wen-Jun Hu , Shou-Shu Gong , D. N. Sheng

Motivated by recent experiments on the Heisenberg S=1/2 quantum spin liquid candidate material kapellasite, we classify all possible chiral (time-reversal symmetry breaking) spin liquids with fermionic spinons on the kagome lattice. We…

强关联电子 · 物理学 2016-02-05 Samuel Bieri , Laura Messio , Bernard Bernu , Claire Lhuillier

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

强关联电子 · 物理学 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

强关联电子 · 物理学 2011-11-09 Seiji Yunoki , Sandro Sorella

We study triangular lattice spin-1/2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin liquid states. Trial spin liquid wave functions are obtained by Gutzwiller…

强关联电子 · 物理学 2009-11-10 Olexei I. Motrunich

It is widely believed that the $U(1)$ spin liquid with a large spinon Fermi surface(SFS state) can be realized in the spin-$\frac{1}{2}$ $J_{1}-J_{4}$ model on the triangular lattice, when the ring exchange coupling $J_{4}$ is sufficiently…

强关联电子 · 物理学 2024-03-27 Jianhua Yang , Tao Li

We study the zero-temperature phase diagram of the spin-$\frac{1}{2}$ Heisenberg model with breathing anisotropy (i.e., with different coupling strength on the upward and downward triangles) on the kagome lattice. Our study relies on large…

强关联电子 · 物理学 2021-01-01 Saeed S. Jahromi , Roman Orus , Didier Poilblanc , Frédéric Mila

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

强关联电子 · 物理学 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

强关联电子 · 物理学 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

In this paper, we explore the relationship between strong spin-orbit coupling and spin liquid physics. We study a very general model on the triangular lattice where spin-orbit coupling leads to the presence of highly anisotropic…

强关联电子 · 物理学 2018-03-16 Jason Iaconis , Chunxiao Liu , Gábor B. Halász , Leon Balents

We study the ground-state properties of a spin-1 Heisenberg model on a square lattice with the first- and second-nearest-neighbor antiferromagnetic couplings $J_1$ and $J_2$ and a three-spin scalar chirality term $J_\chi$. Using the density…

强关联电子 · 物理学 2022-04-06 Yixuan Huang , W. Zhu , Shou-Shu Gong , Hong-Chen Jiang , D. N. Sheng

By using variational wave functions and quantum Monte Carlo techniques, we investigate the complete phase diagram of the Heisenberg model on the anisotropic triangular lattice, where two out of three bonds have super-exchange couplings $J$…

强关联电子 · 物理学 2016-02-10 Elaheh Ghorbani , Luca F. Tocchio , Federico Becca

The existance of a spin disordered ground state for the frustrated Quantum Heisenberg Antiferromagnet on a square lattice is reconsidered. It is argued that there is a unique action which is continuous through the whole phase diagram,…

凝聚态物理 · 物理学 2009-10-22 Jaime Ferrer

The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ and $J_{\triangledown}$ within elementary up- and…

强关联电子 · 物理学 2018-03-16 Yasir Iqbal , Didier Poilblanc , Ronny Thomale , Federico Becca

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral interaction $J_{\chi}(\vec{S}_i \times…

强关联电子 · 物理学 2017-08-16 Shou-Shu Gong , W. Zhu , J. -X. Zhu , D. N. Sheng , Kun Yang
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