High-Field Esr Spectroscopy of Low-Dimensional Quantum Spin Systems

Zvyagin, S. A.

doi:10.1007/1-4020-2396-0_21

Spectroscopy of Emerging Materials

DOI: 10.1007/1-4020-2396-0_21

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High-Field Esr Spectroscopy of Low-Dimensional Quantum Spin Systems

S. A. Zvyagin

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“…with E n (P, κ) = ε(p a |P ) and n 1, which is equivalent to ( 16)- (18). Note that the left-hand side of ( 23) is the Legendre transform of the integral pa −pa ε(p|P ) dp considered as a function of the variable p a .…”

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Kink confinement in the antiferromagnetic XXZ spin-(1/2) chain in a weak staggered magnetic field

Rutkevich¹

2018

EPL

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The Heisenberg XXZ spin-1/2 chain is considered in the massive antiferromagnetic regime in the presence of a staggered longitudinal magnetic field. The Hamiltonian of the model is characterised by the anisotropy parameter ∆ < −1 and by the magnetic field strength h. At zero magnetic field, the model is exactly solvable. In the thermodynamic limit, it has two degenerate vacua and the kinks (which are also called spinons) interpolating between these vacua, as elementary excitations. Application of the staggered magnetic field breaks integrability of the model and induces the long-range attractive potential between two adjacent kinks leading to their confinement into the bound states. The energy spectra of the resulting two-kink bound states are perturbatively calculated in the extreme anisotropic (Ising) limit ∆ → −∞ to the first order in the inverse anisotropy constant |∆| −1 , and also for any ∆ < −1 to the first order in the weak magnetic field h. p-1

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“…At zero field h = 0, the model considered on a finite chain is solvable by the Bethe Ansatz method [17], see also [18,19] for further references. In the thermodynamic limit, it has two degenerate ground states |Φ α , α = 1, 2, showing a Néel-type order,…”

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confidence: 99%

Kink confinement in the antiferromagnetic XXZ spin-(1/2) chain in a weak staggered magnetic field

Rutkevich¹

2018

EPL

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Effect of small in-plane anisotropy in the large-D phase systems based on Ni2+ (S=1) ions in Heisenberg antiferromagnetic chains

Rudowicz

2014

Physica B: Condensed Matter

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High-Field Esr Spectroscopy of Low-Dimensional Quantum Spin Systems

Cited by 2 publications

References 41 publications

Kink confinement in the antiferromagnetic XXZ spin-(1/2) chain in a weak staggered magnetic field

Kink confinement in the antiferromagnetic XXZ spin-(1/2) chain in a weak staggered magnetic field

Effect of small in-plane anisotropy in the large-D phase systems based on Ni2+ (S=1) ions in Heisenberg antiferromagnetic chains

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