Excitation Hierarchy of the Quantum Sine-Gordon Spin Chain in a Strong Magnetic Field

Zvyagin, S. A.; Kolezhuk, A. K.; Krzystek, J.; Feyerherm, R.

doi:10.1103/physrevlett.93.027201

Cited by 81 publications

(147 citation statements)

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“…Excellent agreement between experimental data and results of the calculation using Eq. (2) for the first breather mode in magnetic fields up to 25 T was found [11].…”

mentioning

confidence: 96%

“…The sine-Gordon quantum field theory [8][9][10] applied for this model predicts that the elementary excitation spectrum is to be formed by solitons and their multiple bound states (breathers) with an energy gap ∆ ∝ H formed by the first breather mode [11,12]. Such a sineGordon spin model has been found to be realized in a number of compounds [13][14][15][16][17][18].…”

mentioning

confidence: 99%

“…The corresponding data from Ref. [11] and results of the present pulsed-field ESR experiments are compiled in Fig. 3 using filled and open symbols, respectively.…”

mentioning

confidence: 99%

“…Several very pronounced ESR modes were resolved. As mentioned above, ESR spectra in Cu-PM were previously measured in magnetic fields up to 25 T [11]. The corresponding data from Ref.…”

mentioning

confidence: 99%

“…Recently, the ESR excitation spectrum in the quantum sine-Gordon S = 1/2 AF chain material copper pyrimidine dinitrate (hereafter Cu-PM) [15] had been studied in magnetic fields up to 25 T [11,22]. A signature of soliton and three breathers, as well as specific temperature and field dependences of ESR parameters (linewidth and g-factor) beautifully confirmed the applicability of the sine-Gordon quantum-field theoretical approach for Cu-PM for H < J/gµ B .…”

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confidence: 99%

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Field-induced gap in a quantum spin-12chain in a strong magnetic field

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Magnetic excitations in copper pyrimidine dinitrate, a spin-1/2 antiferromagnetic chain with alternating g-tensor and Dzyaloshinskii-Moriya interactions that exhibits a field-induced spin gap, are probed by means of pulsed-field electron spin resonance spectroscopy. In particular, we report on a minimum of the gap in the vicinity of the saturation field Hsat = 48.5 T associated with a transition from the sine-Gordon region (with soliton-breather elementary excitations) to a spin-polarized state (with magnon excitations). This interpretation is fully confirmed by the quantitative agreement over the entire field range of the experimental data with the DMRG calculations for spin-1/2 Heisenberg chain with a staggered transverse field.PACS numbers: 75.40. Gb, 75.10.Jm Introduction.-Due to recent progress in theory and the growing number of physical realizations, lowdimensional quantum magnets continue to receive a considerable amount of attention. They serve as model systems for investigating numerous fascinating phenomena in materials with cooperative ground states, in particular, induced by high magnetic fields. The way a magnetic field changes the ground-state properties and, correspondingly, the low-energy excitation spectrum of lowdimensional magnets is one of the fundamental aspects in quantum magnetism. For example, the zero-field ground state of an isotropic S = 1/2 Heisenberg antiferromagnetic (AF) chain with uniform nearest-neighbor exchange coupling is a spin singlet, and its spin dynamics is determined by a gapless two-particle continuum of fractional S = 1/2 excitations, called spinons. Application of an external magnetic field H leads to a pronounced rearrangement of the excitation spectrum, making the soft modes incommensurate [1, 2] but leaving the spinon continuum gapless. However, in a fully spin-polarized phase, H > H sat , the excitation spectrum is gapped and dominated by ordinary spin waves (magnons). The low-energy excitation spectrum of such an ideal isotropic Heisenberg S = 1/2 chain can be described in terms of an effective free massless boson theory [3][4][5].The presence of additional interactions such as Dzyaloshinskii-Moriya (DM) interaction [7] can significantly alter the physical properties of such spin systems (see for instance Ref.[6]), and, in particular, their highfield behavior. A Heisenberg spin-1/2 chain with exchange interaction J and DM interaction (or alternating g-tensor) in a field H can be mapped to a simple Heisenberg chain with a staggered transverse field h ∝ H [8-10], described by the effective spin Hamiltonian

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“…Excellent agreement between experimental data and results of the calculation using Eq. (2) for the first breather mode in magnetic fields up to 25 T was found [11].…”

mentioning

confidence: 96%

mentioning

confidence: 99%

“…The corresponding data from Ref. [11] and results of the present pulsed-field ESR experiments are compiled in Fig. 3 using filled and open symbols, respectively.…”

mentioning

confidence: 99%

“…Several very pronounced ESR modes were resolved. As mentioned above, ESR spectra in Cu-PM were previously measured in magnetic fields up to 25 T [11]. The corresponding data from Ref.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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Field-induced gap in a quantum spin-12chain in a strong magnetic field

et al. 2011

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Modern Electron Paramagnetic Resonance Techniques and Their Applications to Magnetic Systems

Zorko

Pregelj

Arčon

2017

Handbook of Solid State Chemistry

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Ever since its invention in 1940s the electron paramagnetic resonance (EPR) has been one of the most important and versatile spectroscopic methods for studies of new materials. Numerous approaches ranging from conventional continuous wave to more modern pulsedEPRtechniques were introduced to provide insight into their structure, dynamics, or chemical reactivity at the local scale. More recently, efforts to increase sensitivity and enhance resolution led to highly innovative detection methods and expandedEPRto high‐frequency high‐magnetic field experimental regimes. Such intensive experimental instrumentation development together with parallel theoretical breakthroughs in particular enabledEPRto provide unique information about the spin Hamiltonians and the nature of low‐energy excitations in magnetic systems. Here, we review such modern approaches for studies of low‐dimensional and frustrated quantum antiferromagnets and provide several examples where full strength of theEPRtechnique is demonstrated. We provide thorough overview of the “conventional” Kubo–Tomita theory and critically comment its applicability to one‐dimensional spin systems. There, alternative approaches based on exact computations of theEPRresponse and Oshikawa–Affleck field theory have been successfully implemented. Finally, we also review the (anti)ferromagnetic resonance in the magnetically ordered phase. Important instrumental and theoretical advances that we have witnesses in the last couple of decades significantly extend the range of applicability ofEPRand shall lead to many new discoveries in the future.

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Recent Advances in High-Frequency Electron Spin Resonance Detection Using a Microcantilever

Ohta

Ohmichi

2009

Appl Magn Reson

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Excitation Hierarchy of the Quantum Sine-Gordon Spin Chain in a Strong Magnetic Field

Cited by 81 publications

References 22 publications

Field-induced gap in a quantum spin-12chain in a strong magnetic field

Field-induced gap in a quantum spin-12chain in a strong magnetic field

Modern Electron Paramagnetic Resonance Techniques and Their Applications to Magnetic Systems

Recent Advances in High-Frequency Electron Spin Resonance Detection Using a Microcantilever

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