Order-Disorder Transition in a Fully Frustrated Transverse-Field Ising Chain
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概要
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An antiferromagnetic Ising model on the ▵ chain, with a macroscopic ground state degeneracy andexponentially decaying spin correlation functions, is studied. By introducing transverse magnetic fields Γ on spins at tips of the triangles and λΓon 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 anyΓ > 0. Because the transverse field on the bottom chain with finiteλdestroys the staggered order, the order-disorder transition occurs as λis 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 theλ= 0 limit and conclude thatλ_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).
- 社団法人日本物理学会の論文
- 2003-09-15
著者
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OGUCHI Akihide
Department of Physics, Faculty of Science and Technology Science University of Tokyo
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Oguchi Akihide
Department Of Physics Faculty Of Science And Technology Tokyo University Of Science
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Oguchi Akihide
Department Of Physics Faculty Of Science And Technology Science University
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FUKUMOTO Yoshiyuki
Department of Physics, Faculty of Science and Technology, Tokyo University of Science
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Fukumoto Yoshiyuki
Department Of Physics Faculty Of Science And Technology Tokyo University Of Science
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Fukumoto Yoshiyuki
Department Of Applied Physics Graduate School Of Engineering Tohoku University
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Oguchi Akihide
Department Of Physics Faculty Of Sciece And Technology Science University Of Tokyo
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