Boundary Resonances in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo mathvariant="bold">=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Antiferromagnetic Chains Under a Staggered Field

Furuya, Shunsuke C.; Oshikawa, Masaki

doi:10.1103/physrevlett.109.247603

Cited by 20 publications

(56 citation statements)

References 28 publications

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“…Thus, ESR measurements captures the mixing of q = 0 and q = π components of dynamical susceptibility. This effect is seen in Cu benzoate [33], KCuGaF 6 [34], and BaCo 2 V 2 O 8 [35]. The similar mixing is also measured in (C 7 H 10 N) 2 CuBr 4 [36].…”

Section: Dynamical Susceptibilitysupporting

confidence: 69%

Topological transition between competing orders in quantum spin chains

2018

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We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two pinning potential terms of dual fields that stabilize competing orders and allows different types of quantum phase transition to happen between two ordered phases. At the transition point, elementary excitations change from the topological soliton of one of the dual fields to that of the other, thus it can be characterized as a topological transition. We compute the dynamical susceptibilities and the entanglement entropy, which gives us access to the central charge, of the system using a numerical technique of infinite time-evolving block decimation and characterize the universality class of the transition as well as the nature of the order in each phase. The possible realizations of such transitions in experimental systems both for condensed matter and cold atomic gases are also discussed. arXiv:1807.06029v2 [cond-mat.str-el]

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Section: Dynamical Susceptibilitysupporting

confidence: 69%

Topological transition between competing orders in quantum spin chains

2018

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“…(6.6) and (6.7)] [35,36]. In some cases, the DM interaction changes selection rules of ESR and yields an additional resonance that occurs at a frequency away from the Zeeman energy [11,[37][38][39][40].…”

Section: Uniform Dm Interactionmentioning

confidence: 99%

“…This puzzle of the field-induced gap was found in Cu Benzoate [6] and later solved with quantum field theories [9][10][11]. Essentially, the field-induced excitation gap in those compounds comes from an absence of a bondcentered inversion symmetry.…”

Section: Introductionmentioning

confidence: 97%

Field-induced dimer orders in quantum spin chains

Furuya

2020

Phys. Rev. B

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Field-induced excitation gaps in quantum spin chains are an interesting phenomenon related to confinements of topological excitations. In this paper, I present a novel type of this phenomenon. I show that an effective magnetic field with a fourfold screw symmetry induces the excitation gap accompanied by dimer orders. The dimer order parameter and the excitation gap exhibit characteristic power-law dependence on the fourfold screw-symmetric field. Moreover, the field-induced dimer order and the field-induced Néel order coexist when the external uniform magnetic field, the fourfold screw-symmetric field, and the twofold staggered field are applied. This situation is in close connection with a compound [Cu(pym)(H2O)4]SiF6 · H2O [J. Liu et al., Phys. Rev. Lett. 122, 057207 (2019)]. In this paper, I discuss a mechanism of field-induced dimer orders by using a density-matrix renormalization group method, a perturbation theory, and quantum field theories. arXiv:2002.07387v2 [cond-mat.str-el] 22 Apr 2020

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“…(2.5) shows that if there is an additional resonance peak well isolated from the EPR one, it must come from the retarded Green's function G R AA † (ω). In fact, many interesting resonance peaks are found in ESR experiments and explained on the basis of the identity (2.5) [51,52].…”

Section: )mentioning

confidence: 99%

Electron spin resonance for the detection of long-range spin nematic order

Furuya

Momoi

2018

Phys. Rev. B

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Spin nematic phase is a quantum magnetic phase characterized by a quadrupolar order parameter. Since the quadrupole operators are directly coupled to neither the magnetic field nor the neutron, currently, it is an important issue to develop a method for detecting the long-range spin nematic order. In this paper we propose that electron spin resonance (ESR) measurements enable us to detect the long-range spin nematic order. We show that the frequency of the paramagnetic resonance peak in the ESR spectrum is shifted by the ferroquadrupolar order parameter together with other quantities. The ferroquadrupolar order parameter is extractable from the angular dependence of the frequency shift. In contrast, the antiferroquadrupolar order parameter is usually invisible in the frequency shift. Instead, the long-range antiferroquadrupolar order yields a characteristic resonance peak in the ESR spectrum, which we call a magnon-pair resonance peak. This resonance corresponds to the excitation of the bound magnon pair at the wave vector k = 0. Reflecting the condensation of bound magnon pairs, the field dependence of the magnon-pair resonance frequency shows a singular upturn at the saturation field. Moreover, the intensity of the magnon-pair resonance peak shows a characteristic angular dependence and it vanishes when the magnetic field is parallel to one of the axes that diagonalize the weak anisotropic interactions. We confirm these general properties of the magnon-pair resonance peak in the spin nematic phase by studying an S = 1 bilinearbiquadratic model on the square lattice in the linear flavor-wave approximation. In addition, we argue applications to the S = 1/2 frustrated ferromagnets and also the S = 1/2 orthogonal dimer spin system SrCu2(BO3)2, both of which are candidate materials of spin nematics. Our theory for the antiferroquadrupolar ordered phase is consistent with many features of the magnon-pair resonance peak experimentally observed in the low-magnetization regime of SrCu2(BO3)2. arXiv:1707.08784v2 [cond-mat.str-el]

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Boundary Resonances inS=1/2Antiferromagnetic Chains Under a Staggered Field

Cited by 20 publications

References 28 publications

Topological transition between competing orders in quantum spin chains

Topological transition between competing orders in quantum spin chains

Field-induced dimer orders in quantum spin chains

Electron spin resonance for the detection of long-range spin nematic order

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