Relaxation of frustration and gap enhancement by the lattice distortion in the Δ chain

Tota Nakamura; Satoshi Takada

doi:10.1016/S0375-9601(96)00876-6

Relaxation of frustration and gap enhancement by the lattice distortion in the Δ chain

Tota Nakamura, Satoshi Takada

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We consider the instability of the ground state of the Δ chain against a lattice distortion increasing the bond strength (λ) in each triangle. It relaxes the frustration and causes a remarkable gap enhancement; only a 6% increase of λ doubles the gap compared to the fully-frustrated case (λ = 1). The lowest excitation is revealed to be a kink-antikink bound state whose correlation length decreases drastically with λ increase. The enhancement follows a power law, ΔE_gap ∼ (λ - 1) + 1.44(λ - 1)^2/3, which can be obtained from the exact result of the continuum model.

Original language	English
Pages (from-to)	315-320
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	225
Issue number	4-6
DOIs	https://doi.org/10.1016/S0375-9601(96)00876-6
Publication status	Published - 1997 Feb 3
Externally published	Yes

Keywords

Frustrated quantum spin chain
Spin gap

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/S0375-9601(96)00876-6

Cite this

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abstract = "We consider the instability of the ground state of the Δ chain against a lattice distortion increasing the bond strength (λ) in each triangle. It relaxes the frustration and causes a remarkable gap enhancement; only a 6% increase of λ doubles the gap compared to the fully-frustrated case (λ = 1). The lowest excitation is revealed to be a kink-antikink bound state whose correlation length decreases drastically with λ increase. The enhancement follows a power law, ΔEgap ∼ (λ - 1) + 1.44(λ - 1)2/3, which can be obtained from the exact result of the continuum model.",

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T1 - Relaxation of frustration and gap enhancement by the lattice distortion in the Δ chain

AU - Nakamura, Tota

AU - Takada, Satoshi

PY - 1997/2/3

Y1 - 1997/2/3

N2 - We consider the instability of the ground state of the Δ chain against a lattice distortion increasing the bond strength (λ) in each triangle. It relaxes the frustration and causes a remarkable gap enhancement; only a 6% increase of λ doubles the gap compared to the fully-frustrated case (λ = 1). The lowest excitation is revealed to be a kink-antikink bound state whose correlation length decreases drastically with λ increase. The enhancement follows a power law, ΔEgap ∼ (λ - 1) + 1.44(λ - 1)2/3, which can be obtained from the exact result of the continuum model.

AB - We consider the instability of the ground state of the Δ chain against a lattice distortion increasing the bond strength (λ) in each triangle. It relaxes the frustration and causes a remarkable gap enhancement; only a 6% increase of λ doubles the gap compared to the fully-frustrated case (λ = 1). The lowest excitation is revealed to be a kink-antikink bound state whose correlation length decreases drastically with λ increase. The enhancement follows a power law, ΔEgap ∼ (λ - 1) + 1.44(λ - 1)2/3, which can be obtained from the exact result of the continuum model.

KW - Frustrated quantum spin chain

KW - Spin gap

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-6

ER -

Relaxation of frustration and gap enhancement by the lattice distortion in the Δ chain

Abstract

Keywords

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