Ground State of the Spin-1/2 Honeycomb Γ Model: Zigzag Magnetic Order
ORAL
Abstract
The off-diagonal symmetric interaction, Γ ( Siα Sβi+γ + Siβ Sαi+γ ), has sprung to prominence
as a competing term in the spin Hamiltonians of candidate Kitaev materials. We investigate
the quantum (S = 1/2) Γ model on the honeycomb lattice using the tensor-network method of
infinite projected entangled pair states (iPEPS). We demonstrate that the ground state is a
zigzag magnetically ordered state, rather than the spin liquid reported on the basis of density-matrix
renormalization-group (DMRG) studies. By applying two quasi-one-dimensional numerical
treatments, the infinite matrix-product-state (iMPS) and DMRG methods, we show that
this contrast is a consequence of the system size considered. Thus the quantum Γ model
is quite different from its classical counterpart, which is a classical spin liquid due to its
macroscopic ground-state degeneracy.
as a competing term in the spin Hamiltonians of candidate Kitaev materials. We investigate
the quantum (S = 1/2) Γ model on the honeycomb lattice using the tensor-network method of
infinite projected entangled pair states (iPEPS). We demonstrate that the ground state is a
zigzag magnetically ordered state, rather than the spin liquid reported on the basis of density-matrix
renormalization-group (DMRG) studies. By applying two quasi-one-dimensional numerical
treatments, the infinite matrix-product-state (iMPS) and DMRG methods, we show that
this contrast is a consequence of the system size considered. Thus the quantum Γ model
is quite different from its classical counterpart, which is a classical spin liquid due to its
macroscopic ground-state degeneracy.
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Presenters
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Hai-Jun Liao
- Chinese Academy of Sciences (CAS), China
- Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China