Recent theoretical studies raised the possibility of a realization of spin nematic states in the S = 1 triangular lattice compound NiGa(2)S(4). We study the bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density matrix renormalization group method and exact diagonalization. We present the phase diagram focusing on antiferromagnetic interactions. Adjacent to the known Haldane-double Haldane and the extended critical phase with dominant spin nematic correlations we find a trimerized phase with a nonvanishing energy gap. We discuss results for different order parameters, energy gaps, correlation functions, and the central charge, and make connection to field theoretical predictions for the phase diagram.
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Sun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R ChinaSun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R China
Ren, Ke
Wu, Muwei
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Sun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R ChinaSun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R China
Wu, Muwei
Gong, Shou-Shu
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Great Bay Univ, Sch Phys Sci, Dongguan 523000, Peoples R China
Great Bay Inst Adv Study, Dongguan 523000, Peoples R ChinaSun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R China
Gong, Shou-Shu
Yao, Dao-Xin
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Sun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R China
Int Quantum Acad, Shenzhen 518048, Peoples R ChinaSun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R China
Yao, Dao-Xin
Wu, Han-Qing
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Sun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R ChinaSun Yat sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelectr Phys & Device, Guangzhou 510275, Peoples R China