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We study frustrated spin-1/2 dimer systems in two dimensions with a bilayer structure, where spins are ferromagnetically coupled in dimers. Our model includes frustrated two-spin exchange interactions as well as four-spin interaction. We…

Strongly Correlated Electrons · Physics 2019-12-17 Toshiya Hikihara , Takahiro Misawa , Tsutomu Momoi

We obtain and justify a many-body Hamiltonian of pairwise interacting spin-1 atoms, which includes eight generators of the SU(3) group associated with spin and quadrupole degrees of freedom. It is shown that this Hamiltonian is valid for…

Quantum Gases · Physics 2021-04-06 M. S. Bulakhov , A. S. Peletminskii , S. V. Peletminskii , Yu. V. Slyusarenko

The spin$-1/2$ Heisenberg antiferromagnet on the honeycomb bilayer lattice is shown to display a rich variety of semiclassical and genuinely quantum phases, controlled by the interplay between intralayer frustration and interlayer exchange.…

Strongly Correlated Electrons · Physics 2018-06-20 H. Zhang , C. A. Lamas , M. Arlego , Wolfram Brenig

Spin-S bilayer Heisenberg models (nearest-neighbor square lattice antiferromagnets in each layer, with antiferromagnetic interlayer couplings) are treated using dimer mean-field theory for general S and high-order expansions about the dimer…

Condensed Matter · Physics 2011-01-06 Martin P. Gelfand , Zheng Weihong , C. J. Hamer , J. Oitmaa

We study the low-energy collective properties of a 1D spin-1 Bose gas using bosonization. After giving an overview of the technique, emphasizing the physical aspects, we apply it to the $S=1$ Bose-Hubbard Hamiltonian and find a novel…

Quantum Gases · Physics 2023-03-02 Felipe Reyes-Osorio , Karen Rodriguez-Ramirez

The coupled dynamics of low lying modes, including the scissors mode, and various giant quadrupole resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom.…

Nuclear Theory · Physics 2015-05-28 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

We show that the ground state of disordered rotor models with quadrupolar interactions can exhibit biaxial nematic ordering in the disorder-averaged sense. We present a mean-field analysis of the model and demonstrate that the biaxial phase…

Strongly Correlated Electrons · Physics 2009-11-11 Jean-Sebastien Bernier , K. Sengupta , Yong Baek Kim

We study the interplay between large-spin, spin-orbit coupling, and superfluidity for bosons in a two dimensional optical lattice, focusing on the spin-1 spin-orbit coupled system recently realized at the Joint Quantum Institute [Campbell…

Quantum Gases · Physics 2016-02-10 J. H. Pixley , Stefan S. Natu , I. B. Spielman , S. Das Sarma

Thermodynamically stable low-temperature phases of the Bose-Fermi mixtures composed of bosons and spinless fermions close to four dimensions are considered. In the regime, where the only boson-fermion two-body interaction is present and…

Quantum Gases · Physics 2024-04-01 V. Pastukhov

Recent experiments on triangular lattice organic Mott insulators have found evidence for a 2D spin liquid in proximity to the metal-insulator transition. A Gutzwiller wavefunction study of the triangular lattice Heisenberg model with…

Strongly Correlated Electrons · Physics 2013-05-29 D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

Large spin systems can exhibit unconventional types of magnetic ordering different from the ferromagnetic or N\'eel-like antiferromagnetic order commonly found in spin 1/2 systems. Spin-nematic phases, for instance, do not break…

We study a spin-one Heisenberg model with exchange interaction, J, uniaxial single-ion exchange anisotropy, D, and Zeeman coupling to a magnetic field, B, parallel to the symmetry axis. We com- pute the (D/J,B/J) quantum phase diagram for…

Strongly Correlated Electrons · Physics 2012-12-04 Keola Wierschem , Yasuyuki Kato , Yusuke Nishida , Cristian D. Batista , Pinaki Sengupta

Discovery of new states of matter is a key objective in modern condensed matter physics, which often leads to revolutionary technological advancements such as superconductivity. Quantum spin nematic, a ``hidden order'' that evades…

Higher-spin quantum magnets with competing interactions offer a rich platform for exploring quantum phases that transcend the paradigms of spin-1/2 systems, owing to their enlarged local Hilbert spaces and the emergence of multipolar…

Strongly Correlated Electrons · Physics 2025-12-23 Zhiling Wei , Zhengzhong Du , Xiaodong Cao , Wen-Long You , Yi Lu

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…

Strongly Correlated Electrons · Physics 2026-03-11 Fan Zhang , Nisheeta Desai , Wenan Guo , Ribhu K. Kaul

We investigate magnetism and quantum phase transitions in a one-dimensional system of integrable spin-1 bosons with strongly repulsive density-density interaction and antiferromagnetic spin exchange interaction via the thermodynamic Bethe…

Quantum Gases · Physics 2009-12-22 J. Y. Lee , X. W. Guan , M. T. Batchelor , C. Lee

Magnetic dipole-dipole interaction dominated Bose-Einstein condensates are discussed under spinful situations. We treat the spin degrees of freedom as a classical spin vector, approaching from large spin limit to obtain an effective minimal…

Other Condensed Matter · Physics 2009-11-13 M. Takahashi , Sankalpa Ghosh , T. Mizushima , K. Machida

Quantum phase transition from the N\'eel to the dimer states in an antiferromagnetic(AF) Heisenberg model on square lattice is studied. We introduce a control parameter $\alpha$ for the exchange coupling which connects the N\'eel…

Strongly Correlated Electrons · Physics 2009-11-10 Daisuke Yoshioka , Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui

We study thermodynamic properties as well as the dynamical spin and quadrupolar structure factors of the O(3)-symmetric spin-1 Heisenberg model with bilinear-biquadratic exchange interactions on the triangular lattice. Based on a…

Strongly Correlated Electrons · Physics 2016-03-01 Annika Völl , Stefan Wessel
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