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The phase transition of the two-dimensional $U(1)$ quantum link model on the triangular lattice is investigated by employing a supervised neural network (NN) consisting of only one input layer, one hidden layer of two neurons, and one…

高能物理 - 格点 · 物理学 2023-08-23 Jhao-Hong Peng , Yuan-Heng Tseng , Fu-Jiun Jiang

We investigate the effect of ring-exchange on the ground-state properties and magnetic excitations of the $S = 1/2$ Heisenberg model on the anisotropic triangular lattice with ring-exchange at $T = 0$ using linear spin-wave theory.…

强关联电子 · 物理学 2014-05-15 Michael Holt , Ben J. Powell , Jaime Merino

We obtain a phase diagram of the spin imbalanced Hubbard model on the Lieb lattice, which is known to feature a flat band in its single-particle spectrum. Using the BCS mean-field theory for multiband systems, we find a variety of…

量子气体 · 物理学 2018-10-15 Marek Tylutki , Päivi Törmä

The Kitaev-Heisenberg model on the honeycomb lattice has been studied for the purpose of finding exotic states such as quantum spin liquid and topological orders. On the kagome lattice, in spite of a spin-liquid ground state in the…

强关联电子 · 物理学 2018-10-31 Katsuhiro Morita , Masanori Kishimoto , Takami Tohyama

We study the $T=0$ phase diagrams of models of bilayers of $S=1/2$ square lattices antiferromagnets with SU(2) Heisenberg symmetry that have 2, 4, and 6 spin exchanges. We study two families of bilayer models with distinct internal…

强关联电子 · 物理学 2026-03-11 Fan Zhang , Nisheeta Desai , Wenan Guo , Ribhu K. Kaul

Motivated by recent experiments on Ba3NiSb2O9, we investigate possible quantum spin liquid ground states for spin S=1 Heisenberg models on the triangular lattice. We use Variational Monte Carlo techniques to calculate the energies of…

强关联电子 · 物理学 2012-12-27 Samuel Bieri , Maksym Serbyn , T. Senthil , Patrick A. Lee

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

强关联电子 · 物理学 2009-10-31 A. Koga , S. Kumada , N. Kawakami

We provide strong evidence that the S=1 bilinear-biquadratic Heisenberg model with nearest-neighbor interactions on the square lattice possesses an extended three-sublattice phase induced by quantum fluctuations for sufficiently large…

强关联电子 · 物理学 2012-04-17 Tamas A. Toth , Andreas M. Laeuchli , Frederic Mila , Karlo Penc

We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold…

强关联电子 · 物理学 2014-05-28 B. Normand , Z. Nussinov

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 study a time-reversal invariant non-abelian spin-liquid state in an $SU (2)$ symmetric spin $S = 1$ quantum magnet on a triangular lattice. The spin-liquid is obtained by quantum disordering a non-collinear nematic state. We show that…

强关联电子 · 物理学 2011-09-20 Tarun Grover , T. Senthil

We investigate the anisotropic quantum orbital compass model on an infinite square lattice by means of the infinite projected entangled-pair state algorithm. For varying values of the $J_x$ and $J_z$ coupling constants of the model, we…

强关联电子 · 物理学 2009-11-13 Roman Orus , Andrew C. Doherty , Guifre Vidal

The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The…

统计力学 · 物理学 2015-05-27 Yoshihiro Nishiyama

Spin nematic order is investigated for a S=1 spin model on triangular lattice with bilinear-biquadratic interactions. We particularly studied an antiferro nematic order phase with three-sublattice structure, and magnetic properties are…

强关联电子 · 物理学 2007-05-23 Hirokazu Tsunetsugu , Mitsuhiro Arikawa

We study the quantum phase transition between the superfluid and valence bond solid in "easy-plane" J-Q models on the square lattice. The Hamiltonian we study is a linear combination of two model Hamiltonians: (1) an SU(2) symmetric model,…

强关联电子 · 物理学 2020-12-01 Nisheeta Desai , Ribhu K. Kaul

Using Lanczos exact diagonalization of finite clusters we demonstrate that the spin-orbital $d^1$ model for triply degenerate $t_{2g}$ orbitals on a triangular lattice provides an example of a spin-orbital liquid ground state. We also show…

强关联电子 · 物理学 2022-01-25 Andrzej M. Oleś , Jiří Chaloupka

The S=1 bilinear-biquadratic Heisenberg model on anisotropic triangular lattices is investigated by several complementary methods. Our focus is on the stability of the three-sublattice spin nematic state against spatial anisotropy. We find…

强关联电子 · 物理学 2013-02-06 Yu-Wen Lee , Yung-Chung Chen , Min-Fong Yang

The nature of the intermediate ground-state phase in the spin-1/2 frustrated square lattice model has long been debated. Using cluster density matrix embedding theory, we investigate the phase diagram of this model. The Neel phase is…

强关联电子 · 物理学 2025-12-10 Jie Qiao , Shu-Hao Zhang , Jing-Bo Qin , Xiao-Long Zhao , Qiang Cheng

We investigate the $J_1$-$J_2$ Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizeable region of the phase diagram. This topological phase is…

强关联电子 · 物理学 2017-02-01 Alexander Wietek , Andreas M. Läuchli

We study a quantum spin system on a honeycomb lattice, when it includes frustration and distortion in antiferromagnetic (AF) exchange interactions. We transform the spin system onto a nonlinear sigma model (NLSM) in a new way preserving the…

强关联电子 · 物理学 2009-11-11 Ken'ichi Takano