首页|Haldane phases and phase diagrams of the S = 3/2 and S = 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain

Haldane phases and phase diagrams of the S = 3/2 and S = 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain

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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 phases, including three Haldane phases, two gapless phases, and several magnetically ordered phases. To characterize these phases and their phase transitions, we study various physical quantities such as energy gap, energy-level crossing, fidelity susceptibility, spin correlation, entanglement spectrum, and central charge. According to our calculations, the biquadratic term can enhance the Haldane phase regions. In particular, we numerically identify that a Haldane phase in S = 3/2 case is adiabatically connected to the exact AKLT (Affleck, Kennedy, Lieb, and Tasaki) point when adding a bicubic term. Our study on the orthogonal dimer model, which is a 1D version of the Shastry-Sutherland model, provides insights into understanding the possible S = 3/2, 1 Haldane phases in quasi-1D and 2D frustrated magnetic materials.

Ke Ren、Muwei Wu、Shou-Shu Gong、Dao-Xin Yao、Han-Qing Wu

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Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, Center for Neutron Science and Technology, School of Physics, Sun Yat-sen University, Guangzhou 510275, China

School of Physical Sciences, Great Bay University, Dongguan 523000, China||Great Bay Institute for Advanced Study, Dongguan 523000, China

Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, Center for Neutron Science and Technology, School of Physics, Sun Yat-sen University, Guangzhou 510275, China||International Quantum Academy, Shenzhen 518048, China

2023

Physical review, B. Condensed matter and materials physics

Physical review, B. Condensed matter and materials physics

ISSN:2469-9950
年,卷(期):2023.108(24)
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