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Magnetization Plateau of S=1 Spin Ladder BIP-TENO(Magnetization Plateaus, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

Munehisa Kikuchi, Kiyomi Okamoto, Kouichi Okunishi +1 more

Progress of Theoretical Physics SupplementOct 31, 20050 citations

Half Plateau Phase Diagram in Generalized Zig-Zag Spin Ladder(Magnetization Plateaus, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

Akiyuki Tokuno, Kiyomi Okamoto, Takashi Tonegawa

Progress of Theoretical Physics SupplementOct 31, 20050 citations

Magnetization Plateaus and Magnetic Excitations in the S=1/2 Spin Ladder Antiferromagnet NH4CuCl3 (Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

Isao Harada, Hiroshi Miyazaki

Progress of Theoretical PhysicsJan 1, 20050 citations

Magnetization Plateau of theS= 1/2 Frustrated Heisenberg Chain with Period 3 Parity Invariant Exchange Modulation

Kazuo Hida, Ian K. Affleck

The magnetization plateau of the S = 1/2 frustrated Heisenberg chain with period 3 parity invariant exchange modulation is investigated by the bosonization and numerical exact diagonalization method. The ground state phase diagram at 1/3 of the saturated magnetization is obtained. Among three degenerate ↑↑↓-type plateau states in the uniform chain, two of them (↓↑↑↓↑↑⋅⋅⋅ and ↑↓↑↑↓↑⋅⋅⋅) turned out to be robust against the period 3 exchange modulation which favors the phase up to a critical value of the modulation amplitude ( = singlet dimer) resulting in the Z2 symmetry broken phase. Another ↑↑↓-type state with ↑↑↓↑↑↓⋅⋅⋅ configuration is stabilized for period 3 modulation with opposite sign. The transition between the -phase and Z2-broken phase is the Ising transition and that between the ↑↑↓↑↑↓⋅⋅⋅ -phase and Z2 broken phase is the first order transition. The spin configuration in each phase is numerically verified by applying the local symmetry breaking field.The magnetization plateau of the S = 1/2 frustrated Heisenberg chain with period 3 parity invariant exchange modulation is investigated by the bosonization and numerical exact diagonalization method. The ground state phase diagram at 1/3 of the saturated magnetization is obtained. Among three degenerate ↑↑↓-type plateau states in the uniform chain, two of them (↓↑↑↓↑↑⋅⋅⋅ and ↑↓↑↑↓↑⋅⋅⋅) turned out to be robust against the period 3 exchange modulation which favors the phase up to a critical value of the modulation amplitude ( = singlet dimer) resulting in the Z2 symmetry broken phase. Another ↑↑↓-type state with ↑↑↓↑↑↓⋅⋅⋅ configuration is stabilized for period 3 modulation with opposite sign. The transition between the -phase and Z2-broken phase is the Ising transition and that between the ↑↑↓↑↑↓⋅⋅⋅ -phase and Z2 broken phase is the first order transition. The spin configuration in each phase is numerically verified by applying the local symmetry breaking field.

Progress of Theoretical Physics SupplementJan 1, 20050 citations

Magnetization Plateau and Quantum Phase Transition of the S=1/2 Trimerized XXZ Spin Chain

清美岡本, Kiyomi Okamoto

Jan 1, 19990 citations

Quantum vs Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains

Kazuo Hida, Ian K. Affleck

The competition between quantum and classical magnetization plateaus of S=1/2 frustrated Heisenberg chains with modified exchange couplings is investigated. The conventional S=1/2 frustrated Heisenberg chains is known to exhibit a 3-fold degenerate udu-type classical plateau at 1/3 of the saturation magnetization accompanied by the spontaneous Z_3 translational symmetry breakdown. The stability of this plateau phase against period 3 exchange modulation which favors the 00u-type quantum plateau state (00= singlet dimer) is studied by bosonization, renormalization group and numerical diagonalization methods. The ground state phase diagram and the spin configuration in each phase are numerically determined. The translationally invariant Valence Bond Solid-type model with 4-spin and third neighbor interactions, which has the exact 00u-type quantum plateau state, is also presented. The phase transition to the classical udu-type ground state is also observed by varying the strength of 4-spin and third neighbor interactions. The relation between these two types of models with quantum plateau states is discussed.The competition between quantum and classical magnetization plateaus of S=1/2 frustrated Heisenberg chains with modified exchange couplings is investigated. The conventional S=1/2 frustrated Heisenberg chains is known to exhibit a 3-fold degenerate udu-type classical plateau at 1/3 of the saturation magnetization accompanied by the spontaneous Z_3 translational symmetry breakdown. The stability of this plateau phase against period 3 exchange modulation which favors the 00u-type quantum plateau state (00= singlet dimer) is studied by bosonization, renormalization group and numerical diagonalization methods. The ground state phase diagram and the spin configuration in each phase are numerically determined. The translationally invariant Valence Bond Solid-type model with 4-spin and third neighbor interactions, which has the exact 00u-type quantum plateau state, is also presented. The phase transition to the classical udu-type ground state is also observed by varying the strength of 4-spin and third neighbor interactions. The relation between these two types of models with quantum plateau states is discussed.

arXiv:cond-mat/0501697Journal of the Physical Society of JapanJun 1, 200546 citations

Magnetization Plateau of the S=1/2 Frustrated Heisenberg Chain with Period 3 Parity Invariant Exchange Modulation(Magnetization Plateaus, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

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Magnetization Plateau of the S=1/2 Frustrated Heisenberg Chain with Period 3 Parity Invariant Exchange Modulation(Magnetization Plateaus, Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

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