Elementary excitations of S=1/2 one-dimensional antiferromagnet KCuGaF6 in magnetic field and quantum sine-Gordon model

Hidehiro Uekusa; Hidekazu Tanaka; Hiroyuki Nojiri; Izumi Umegaki; Toshio Ono

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Elementary excitations of S=1/2 one-dimensional antiferromagnet KCuGaF6 in magnetic field and quantum sine-Gordon model

Izumi Umegaki, Toshio Ono, Hidekazu Tanaka, Hidehiro Uekusa, Hiroyuki Nojiri

Strongly Correlated Electrons · Submitted 9 Feb 2009

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The authors' main claim Their resonance conditions are beautifully described by the quantum SG field theory with one adjustable parameter $c_ s=h/H$.

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CitationHidehiro Uekusa, Hidekazu Tanaka, Hiroyuki Nojiri, Izumi Umegaki, Toshio Ono. "Elementary excitations of S=1/2 one-dimensional antiferromagnet KCuGaF6 in magnetic field and quantum sine-Gordon model." arXiv:0902.1371 (2009). https://pith.science/paper/4R6KJVNN

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.94 · compares with prior results 0.08 · mentions code or data availability 0.01.

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Elementary excitations of the S=1/2 one-dimensional Heisenberg antiferromagnet KCuGaF$_6$ with exchange constant $J/k_B$=103 K were investigated by high-frequency ESR measurements combined with a pulsed high magnetic field. When an external magnetic field H is applied in KCuGaF$_6$, a staggered magnetic field h is induced perpendicular to H owing to the staggered g tensor and the Dzyaloshinsky-Moriya (DM) interaction with an alternating D vector. Consequently, KCuGaF$_6$ in a magnetic field is represented by the quantum sine-Gordon (SG) model. We observed many resonance modes including a soliton resonance, breathers, interbreather transitions and two-breather excitation. Their resonance conditions are beautifully described by the quantum SG field theory with one adjustable parameter $c_ s=h/H$. To investigate the relationship between the Curie term due to the DM interaction and the proportional coefficient $c_s$, magnetic susceptibility measurements were also performed varying the external field direction.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Elementary excitations of the S=1/2 one-dimensional Heisenberg antiferromagnet KCuGaF$_6$ with exchange constant $J/k_B$=103 K were investigated by high-frequency ESR measurements combined with a pulsed high magnetic field.	contribution 0.78	0.93	0.04	asserted 1.00
s1	When an external magnetic field H is applied in KCuGaF$_6$, a staggered magnetic field h is induced perpendicular to H owing to the staggered g tensor and the Dzyaloshinsky-Moriya (DM) interaction with an alternating D vector.	background 0.58	0.34	0.05	asserted 1.00
s2	Consequently, KCuGaF$_6$ in a magnetic field is represented by the quantum sine-Gordon (SG) model.	interpretation 0.58	0.34	0.22	asserted 1.00
s3	We observed many resonance modes including a soliton resonance, breathers, interbreather transitions and two-breather excitation.	result 1.00	0.95	0.26	asserted 1.00
s4	Their resonance conditions are beautifully described by the quantum SG field theory with one adjustable parameter $c_ s=h/H$.	result 0.60	0.88	0.42	asserted 1.00
s5	To investigate the relationship between the Curie term due to the DM interaction and the proportional coefficient $c_s$, magnetic susceptibility measurements were also performed varying the external field direction.	method 0.87	0.94	0.05	asserted 0.87

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Original abstract

Elementary excitations of the S=1/2 one-dimensional Heisenberg antiferromagnet KCuGaF$_6$ with exchange constant $J/k_B$=103 K were investigated by high-frequency ESR measurements combined with a pulsed high magnetic field. When an external magnetic field H is applied in KCuGaF$_6$, a staggered magnetic field h is induced perpendicular to H owing to the staggered g tensor and the Dzyaloshinsky-Moriya (DM) interaction with an alternating D vector. Consequently, KCuGaF$_6$ in a magnetic field is represented by the quantum sine-Gordon (SG) model. We observed many resonance modes including a soliton resonance, breathers, interbreather transitions and two-breather excitation. Their resonance conditions are beautifully described by the quantum SG field theory with one adjustable parameter $c_ s=h/H$. To investigate the relationship between the Curie term due to the DM interaction and the proportional coefficient $c_s$, magnetic susceptibility measurements were also performed varying the external field direction.

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Here we consider the sine-Gordon model, which is a paradigmatic interacting integrable quantum field theory that describes the low-energy physics of numerous physical systems [ref] .

Quantum fields in a cold atomic simulator: relaxation and phase locking in tunnel-coupled 1D bosonic quasi-condensates · Introduction · 0.91

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