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- W2000753652 abstract "An antiferromagnetic Ising model on the Δ chain, with a macroscopic ground state degeneracy and exponentially decaying spin correlation functions, is studied. By introducing transverse magnetic fields Γ on spins at tips of the triangles and λΓ on spins on the bottom chain, we study the ground state as a function of λ and Γ. The λ=0 problem is exactly solved and the ground state has a staggered magnetization on the bottom chain for any Γ>0. Because the transverse field on the bottom chain with finite λ destroys the staggered order, the order–disorder transition occurs as λ is increased. We calculate the transition point λ c (Γ/ J ) as a function of Γ/ J , where J denotes the magnitude of the exchange interaction, by using the series expansion method around the λ=0 limit and conclude that λ c (Γ/ J =+0)≃0.9459. It is shown that states in the degenerate ground state manifold at Γ=0 are crucial in getting a finite value of λ c (+0)." @default.
- W2000753652 created "2016-06-24" @default.
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- W2000753652 date "2003-09-15" @default.
- W2000753652 modified "2023-09-27" @default.
- W2000753652 title "Order–Disorder Transition in a Fully Frustrated Transverse-Field Ising Chain" @default.
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- W2000753652 doi "https://doi.org/10.1143/jpsj.72.2317" @default.
- W2000753652 hasPublicationYear "2003" @default.
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