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Plaquette Liquid in the Two-dimensional SU(4) Spin-Orbital Model

Mathias van den Bossche, Fu‐Chun Zhang, Frédéric Mila

Jan 5, 20000 citations

Gap formation for the one-dimensional SU(4) spin–orbital model

Y Tsukamoto, N. Kawakami, Y Yamashita +1 more

Physica B Condensed MatterJun 1, 20004 citations

Spontaneous Plaquette Formation in the SU(4) Spin-Orbital Ladder

Mathias van den Bossche, P. Azaria, P. Lecheminant +1 more

The low-energy properties of the SU(4) spin-orbital model on a two-leg ladder are studied by a variety of analytical and numerical techniques. As in the case of SU(2) models, there is a singlet-multiplet gap in the spectrum, but the ground state is twofold degenerate. An interpretation in terms of SU(4)-singlet plaquettes is proposed. The implications for general two-dimensional lattices are outlined.

arXiv:cond-mat/0006485Physical Review LettersApr 30, 200153 citations

Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model

Hui-Ke Jin, Rong-Yang Sun, Hong-Hao Tu +1 more

arXiv:2106.09318中国科学通报：英文版Mar 9, 202215 citations

Tetramerization in a SU(4) Heisenberg model on the honeycomb lattice

Miklós Lajkó, Karlo Penc

The SU(4) Heisenberg model can serve as a low-energy model of the Mott insulating state in materials where the spins and orbitals are highly symmetric or in systems of alkaline-earth atoms on an optical lattice. Recently, it has been argued that on the honeycomb lattice, the model exhibits a unique spin-orbital liquid phase with an algebraic decay of correlations [P. Corboz et al., Phys. Rev. X 2, 041013 (2012)]. Here we study the instability of the algebraic spin-orbital liquid toward the spontaneous formation of SU(4) singlet plaquettes (tetramerization). Using a variational Monte Carlo approach to evaluate the projected wave function of fermions with $\ensuremath{\pi}$-flux state, we find that the algebraic liquid is robust and that a small finite value of the next-nearest exchange is needed to induce tetramerization. We also studied the phase diagram of a model which interpolates between the nearest-neighbor Heisenberg model and a Hamiltonian for which the singlet-plaquette-product state is an exact ground state.The SU(4) Heisenberg model can serve as a low-energy model of the Mott insulating state in materials where the spins and orbitals are highly symmetric or in systems of alkaline-earth atoms on an optical lattice. Recently, it has been argued that on the honeycomb lattice, the model exhibits a unique spin-orbital liquid phase with an algebraic decay of correlations [P. Corboz et al., Phys. Rev. X 2, 041013 (2012)]. Here we study the instability of the algebraic spin-orbital liquid toward the spontaneous formation of SU(4) singlet plaquettes (tetramerization). Using a variational Monte Carlo approach to evaluate the projected wave function of fermions with $\ensuremath{\pi}$-flux state, we find that the algebraic liquid is robust and that a small finite value of the next-nearest exchange is needed to induce tetramerization. We also studied the phase diagram of a model which interpolates between the nearest-neighbor Heisenberg model and a Hamiltonian for which the singlet-plaquette-product state is an exact ground state.

arXiv:1303.6297Physical Review BJun 27, 201321 citations

Realization of SU(4) singlet in an optical plaquette lattice

Naoki Nishizawa, Shintaro Taie, Yosuke Takasu +2 more

日本物理学会講演概要集Jan 1, 20200 citations

Plaquette ground state in the two-dimensional SU(4) spin-orbital model

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