Field theory analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>antiferromagnetic bond-alternating chains in the dimer phase

Tamaki, Junya; Oshikawa, Masaki

doi:10.1103/physrevb.85.134431

Cited by 3 publications

(3 citation statements)

References 39 publications

(57 reference statements)

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“…39 Recently, NTENP has been field theoretically analyzed by using a sine-Gordon model. 40 The compound NDMAZ has very similar crystal structure to NDMAP. In fact, our theory is applicable to NDMAZ.…”

Section: Ndmapmentioning

confidence: 96%

Electron spin resonance shifts inS=1antiferromagnetic chains

2013

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We discuss electron spin resonance (ESR) shifts in spin-1 Heisenberg antiferromagnetic chains with a weak single-ion anisotropy, based on several effective field theories: the O(3) nonlinear sigma model (NLSM) in the Haldane phase, free fermion theories around the lower and the upper critical fields. In the O(3) NLSM, the single-ion anisotropy corresponds to a composite operator which creates two magnons at the same time and position. Therefore, even inside a parameter range where free magnon approximation is valid for thermodynamics, we have to take interactions among magnons into account in order to include the single-ion anisotropy as a perturbation. Although the O(3) NLSM is only valid in the Haldane phase, an appropriate translation of Faddeev-Zamolodchikov operators of the O(3) NLSM to fermion operators enables one to treat ESR shifts near the lower critical field in a similar manner to discussions in the Haldane phase. Our theory gives quantitative agreements with a numerical evaluation using Quantum Monte Carlo simulation, and also with recent ESR experimental results on a spin-1 chain compounds NDMAP.

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Section: Ndmapmentioning

confidence: 96%

Electron spin resonance shifts inS=1antiferromagnetic chains

2013

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“…For (α, D/J) = (0, −0.2) and h s = 0, the system is in proximity to the phase boundary between the Haldane and Néel phases. At the critical point, the energy gap closes and the system is described by the Tomonaga-Luttinger liquid in the low-energy limit 22 , which is equivalent to the theory of free boson fields. When the system departs from the critical point, the low-energy effective model is expressed by adding the family of C b exp[ibφ] terms 23 to the Lagrangian of free-boson field theory, where φ is the bosonic field and b and C b are constants.…”

Section: Polarized State Expressed By ψmentioning

confidence: 99%

“…This means that the sine-Gordon field theory qualitatively describes the low-energy part of the system in proximity to the phase boundary. In the excitation spectrum of the sine-Gordon field theory, several isolated modes originating from the soliton/anti-soliton and breather modes are present in addition to the excitation continuum 22 . When the system approaches the critical point, the excitation continuum shifts to the lower energy region and the isolated modes become unstable by touching the lower edge of the excitation continuum.…”

Section: Polarized State Expressed By ψmentioning

confidence: 99%

Quantized excitation spectra by magnon confinement in quasi-one-dimensional S=1 spin systems

Suzuki

Suga

2018

Phys. Rev. B

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The infinite time-evolving block decimation algorithm is applied to calculate the dynamical spinstructure factors of the quasi-one-dimensional (Q1D) S=1 antiferromagnetic spin system with singleion anisotropy and bond alternation. It is found that when the staggered field induced by the weak interchain interaction is taken into account, the excitation continuum originating from magnons is quantized. The excitation energies of the quantized excitation spectra are well-explained by the negative zeros of the Airy functions, when the single-ion anisotropy is negatively strong. This quantization of the magnon continuum is a counterpart of the spinon confinement, which has been recently discussed for Q1D S=1/2 antiferromagnets. It is further shown that, when a staggered field exists, the quantized excitation spectra appear on the phase boundary between the Haldane and Néel phases of the phase diagram without the staggered field. However, the quantized excitation spectra disappear in the singlet-dimer phase. PACS numbers: 75.10Pq, 75.40Gb, 75.40Mg Recent inelastic neutron scattering (INS) experiments 1,2on quasi-one-dimensional (Q1D) S=1/2 antiferromagnetic (AF) Ising-like XXZ magnets, (Ba/Sr)Co 2 V 2 O 8 3 , have reported that, below the Néel temperature T N , these materials show quantized excitation spectra with excitation energies that are well explained by the series of negative zeros in the Airy function (NZAF). McCoy and Wu argued the relation between the NZAF and confinement of the domain-wall excitations by focusing on the excitation spectra of the S=1/2 ferromagnetic (FM) Ising chain in weak transverse and longitudinal magnetic fields 5,13 . Since the ground state of this model is a fully polarized state, low-energy excitation is achieved by flipping spins of arbitrary lengths, i.e., two domain-wall excitations. Since each domain wall carries ∆S = 1/2, the low-energy excitation is interpreted as two-spinon excitation. In the transverse field, these two spinons travel in the chain and compose an excitation continuum. When the uniform longitudinal field is further applied weakly, it works as a linear potential between the two spinons. The effective model for this two-spinon excitation is exactly solvable and the eigenvalues are given by NZAF 5,13 . This means that the excitation spectra of the two-spinon continuum are quantized. The quantized spectra explained by NZAF have been confirmed in the INS experiments 6 on CoNb 2 O 6 , which is a ferromagnetic Ising-spin-chain compound. Shiba also discussed the quantized excitation spectra in the Q1D S=1/2 AF Ising-like XXZ system 14 . When we focus on bipartite systems, the interchain interaction in the Q1D AF systems effectively works as a weak staggered field below T N . Thus, it is expected that the domain-wall excitations along the spin-chain direction are confined by the weak staggered field and that the same discussion as that for the ferromagnetic Ising-spin chain is applicable for low-energy excitation.The two-spinon confinement plays a key role in the quantize...

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Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field

Liu

2013

Eur. Phys. J. B

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Field theory analysis ofS=1antiferromagnetic bond-alternating chains in the dimer phase

Cited by 3 publications

References 39 publications

Electron spin resonance shifts inS=1antiferromagnetic chains

Electron spin resonance shifts inS=1antiferromagnetic chains

Quantized excitation spectra by magnon confinement in quasi-one-dimensional S=1 spin systems

Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field

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