Universal low-temperature magnetic properties of the classical and quantum dimerized ferromagnetic spin chain

Дмитриев, Д. В.; Krivnov, V. Ya.

doi:10.1103/physrevb.86.134407

Cited by 6 publications

(3 citation statements)

References 22 publications

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“…It is shown that the exact calculation of various quantities in presence of a "planar" magnetic field is extremely challenging but achievable in closed-form. The exact analytic results obtained are useful not only because there is a scarcity of them, but also because spin dimer systems represent an important building block for various layered magnetic structures and/or spin dimer compounds [20][21][22] .…”

Section: Introductionmentioning

confidence: 99%

Magnetic properties of a classical XY spin dimer in a “planar” magnetic field

Ciftja

Prenga

2016

Journal of Magnetism and Magnetic Materials

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Single-molecule magnetism originates from the strong intra-moleculer magnetic coupling of a small number of interacting spins. Such spins generally interact very weakly with the neighbouring spins in the other molecules of the compound, therefore, inter-molecular spin couplings are negligible. In certain cases the number of magnetically coupled spins is as small as a dimer, a system that can be considered the smallest nanomagnet capable of storing non-trivial magnetic information on the molecular level. Additional interesting patterns arise if the spin motion is confined to a two-dimensional space. In such a scenario, clusters consisting of spins with large-spin values are particularly attractive since their magnetic interactions can be described well in terms of classical Heisenberg XY spins. In this work we calculate exactly the magnetic properties of a nanomagnetic dimer of classical XY spins in a "planar" external magnetic field. The problem is solved by employing a mathematical approach whose idea is the introduction of auxiliary spin variables into the starting expression of the partition function. Results for the total internal energy, total magnetic moment, spin-spin correlation function and zero-field magnetic susceptibility can serve as a basis to understand the magnetic properties of large-spin dimer building blocks.

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Section: Introductionmentioning

confidence: 99%

Magnetic properties of a classical XY spin dimer in a “planar” magnetic field

Ciftja

Prenga

2016

Journal of Magnetism and Magnetic Materials

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“…It is worth to notice that a similar problem has been studied intensively in past years [30,31,52,53].…”

Section: Gauging Away the Dm Interactionmentioning

confidence: 99%

Magnetic phase diagram of a spin S = 1/2 antiferromagnetic two-leg ladder with modulated along legs Dzyaloshinskii-Moriya interaction

2019

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We study the ground-state magnetic phase diagram of a spin S = 1/2 antiferromagnetic two-leg ladder in the presence of period two lattice units modulated, Dzyaloshinskii-Moriya (DM) interaction along the legs. We consider the case of collinear DM vectors and strong rung exchange and magnetic field. In this limit we map the initial ladder model onto the effective spin σ = 1/2 XXZ chain and study the latter using the continuum-limit bosonization approach. We identified four quantum phase transitions and corresponding critical magnetic fields, which mark transitions from the spin gapped regimes into the gapless quantum spin-liquid regimes. In the gapped phases the magnetization curve of the system shows plateaus at magnetisation M = 0 and to its saturation value per rung M = Msat = 1. We have shown that the very presence of alternating DM interaction leads to opening of a gap in the excitation spectrum at magnetization M = 0.5Msat. The width of the magnetization plateau at M = 0.5Msat, is determined by the associated with the dynamical generation of a gap in the spectrum is calculated and is shown that its length scales as (D0D1/J 2 ) α where D0, D1 are uniform and staggered components of the DM term, J is the intraleg exchange and α ≤ 3/4 and weakly depends on the DM couplings.

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“…[11][12][13]. Further methods used to address ferromagnetic spin chains include Schwinger-boson mean-field theory [14,15], Green functions [16][17][18][19][20][21][22][23], variants of spinwave theory [24], scaling methods [17,[25][26][27][28][29][30][31], numerical simulations [22,[32][33][34][35][36][37][38], and yet other approaches [39][40][41][42][43][44]. Given this abundant literature on ferromagnetic spin chains, it is really surprising that the effect of the spin-wave interaction has been largely neglected.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of ferromagnetic spin chains in a magnetic field: Impact of the spin–wave interaction

Hofmann

2014

Physica B: Condensed Matter

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The thermodynamic properties of ferromagnetic spin chains have been the subject of many publications. Still, the problem of how the spin-wave interaction manifest itself in these low-temperature series has been neglected. Using the method of effective Lagrangians, we explicitly evaluate the partition function of ferromagnetic spin chains at low temperatures and in the presence of a magnetic field up to three loops in the perturbative expansion where the spin-wave interaction sets in. We discuss in detail the renormalization and numerical evaluation of a particular three-loop graph and derive the low-temperature series for the free energy density, energy density, heat capacity, entropy density, as well as the magnetization and the susceptibility. In the low-temperature expansion for the free energy density, the spin-wave interaction starts manifesting itself at order T 5/2 . In the pressure, the coefficient of the T 5/2 -term is positive, indicating that the spin-wave interaction is repulsive. While it is straightforward to go up to three-loop order in the effective loop expansion, the analogous calculation on the basis of conventional condensed matter methods, such as spin-wave theory, appears to be beyond reach.

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Universal low-temperature magnetic properties of the classical and quantum dimerized ferromagnetic spin chain

Cited by 6 publications

References 22 publications

Magnetic properties of a classical XY spin dimer in a “planar” magnetic field

Magnetic properties of a classical XY spin dimer in a “planar” magnetic field

Magnetic phase diagram of a spin S = 1/2 antiferromagnetic two-leg ladder with modulated along legs Dzyaloshinskii-Moriya interaction

Thermodynamics of ferromagnetic spin chains in a magnetic field: Impact of the spin–wave interaction

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