Thermodynamics of low-dimensional spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>Heisenberg ferromagnets in an external magnetic field within a Green function formalism

Antsygina, T. N.; Poltavskaya, M. I.; Poltavsky, Igor; Chishko, K. A.

doi:10.1103/physrevb.77.024407

Cited by 34 publications

(33 citation statements)

References 44 publications

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“…In particular, in the case of small fields this method gives a proper description of HFM model in the temperature region < < , h T J which is very important for interpretation of the experimental data on 3 He. Figure 1 [7] than those obtained within the scheme employed in our previous paper [6].…”

Section: Introductionmentioning

confidence: 52%

“…The magnetization () MT of two-dimensional spin system on triangular lattice is principally sensitive to the cluster size =, N L L especially at small magnetic fields [6] is several orders less than unity. As a result, in the case of low enough fields the accuracy of extraction of the exchange constant J from the experimental data with the help of HTSE is substantially reduced.…”

Section: Introductionmentioning

confidence: 99%

“…At dense coverages, in ferromagnetic regime, Heisenberg ferromagnetic (HFM) model is quite appropriate to describe magnetic properties of the 2D 3 He. In our previous papers [5,6] we develop the theoretical description of the HFM in an external magnetic field with the aim to interpret experimentally observed magnetic properties of ferromagnetic 3 He monolayers on graphite. In this paper we apply the obtained results to clarify the mechanism of exchange evolution with total coverage in multilayered 2D 3 He system.…”

Section: Introductionmentioning

confidence: 99%

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Structural evolution of ferromagnetic 3He multilayers adsorbed on exfoliated graphite

Antsygina

Chishko

2013

Low Temperature Physics

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On the basis of our theoretical results describing two-dimensional spin-1/2 Heisenberg model in an external magnetic field we analyze and interpret known from literature experimental data on magnetization of pure 3 He monolayers on graphite at ferromagnetic coverages. We clarify the experimentally observed temperature dependences for 2D 3 He magnetization under magnetic fields of different magnitude. The cluster size effect in the temperature dependence of the magnetization is studied. We interpret the spin exchange variation in 2D multilayered 3 He system during successive promotion of the second, third and fourth layers over first paramagnetic layer strongly coupled with graphite substrate. PACS: 75.75.-c Magnetic properties of nanostructures;67.30.hr Films.

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Section: Introductionmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Structural evolution of ferromagnetic 3He multilayers adsorbed on exfoliated graphite

Antsygina

Chishko

2013

Low Temperature Physics

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“…On the contrary, the RPA was shown to fail in describing the SRO, reflected, e.g., in the specific heat, whereas the magnetization and the magnetic susceptibility are quite well reproduced. Recently, a similar Green-function approach for S = 1/2 ferromagnets was presented 18 which improves the theory of Ref. 17 concerning the agreement with exact methods.…”

Section: Introductionmentioning

confidence: 71%

Thermodynamics of Heisenberg ferromagnets with arbitrary spin in a magnetic field

et al. 2008

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The thermodynamic properties (magnetization, magnetic susceptibility, transverse and longitudinal correlation lengths, specific heat) of one-and two-dimensional ferromagnets with arbitrary spin S in a magnetic field are investigated by a second-order Green-function theory. In addition, quantum Monte Carlo simulations for S = 1/2 and S = 1 are performed using the stochastic series expansion method. A good agreement between the results of both approaches is found. The field dependence of the position of the maximum in the temperature dependence of the susceptibility fits well to a power law at low fields and to a linear increase at high fields. The maximum height decreases according to a power law in the whole field region. The longitudinal correlation length may show an anomalous temperature dependence: a minimum followed by a maximum with increasing temperature. Considering the specific heat in one dimension and at low magnetic fields, two maxima in its temperature dependence for both the S = 1/2 and S = 1 ferromagnets are found. For S > 1 only one maximum occurs, as in the two-dimensional ferromagnets. Relating the theory to experiments on the S = 1/2 quasi-one-dimensional copper salt TMCuC [(CH3)4NCuCl3], a fit to the magnetization as a function of the magnetic field yields the value of the exchange energy which is used to make predictions for the occurrence of two maxima in the temperature dependence of the specific heat.

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“…The unfrustrated FM case (J 1 < 0, J 2 = 0) has been also widely investigated, e.g., by the modified spin-wave theory [27,28], renormalization group approaches [29,30], the quantum Monte Carlo method [31][32][33][34] and by a spherically symmetric self-consistent approach (SSSA) -spinrotation-invariant Green's function method (RGM) in alternative notation - [35][36][37][38][39]. Recent experiments with vanadates and related compounds have stimulated theoretical studies of the J 1 -J 2 model with J 1 < 0 and frustrating J 2 > 0.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of the 2D frustrated Heisenberg model for the entire J1–J2 circle

Mikheyenkov

Shvartsberg

Valiulin

et al. 2016

Journal of Magnetism and Magnetic Materials

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Using the spherically symmetric self-consistent Green's function method, we consider thermodynamic properties of the S = 1/2 J 1 -J 2 Heisenberg model on the 2D square lattice. We calculate the temperature dependence of the spin-spin correlation functions c r = S z 0 S z r , the gaps in the spin excitation spectrum, the energy E and the heat capacity C V for the whole J 1 -J 2 -circle, i.e. for arbitrary ϕ, J 1 = cos(ϕ), J 2 = sin(ϕ). Due to low dimension there is no long-range order at T = 0, but the short-range holds the memory of the parent zerotemperature ordered phase (antiferromagnetic, stripe or ferromagnetic). E(ϕ) and C V (ϕ) demonstrate extrema "above" the long-range ordered phases and in the regions of rapid short-range rearranging. Tracts of c r (ϕ) lines have several nodes leading to nonmonotonic c r (T ) dependence. For any fixed ϕ the heat capacity C V (T ) always has maximum, tending to zero at T → 0, in the narrow vicinity of ϕ = 155 • it exhibits an additional frustrationinduced low-temperature maximum. We have also found the nonmonotonic behaviour of the spin gaps at ϕ = 270 • ± 0 and exponentially small antiferromagnetic gap up to (T 0.5) for ϕ 270 • . PACS codes

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Thermodynamics of low-dimensional spin-12Heisenberg ferromagnets in an external magnetic field within a Green function formalism

Cited by 34 publications

References 44 publications

Structural evolution of ferromagnetic 3He multilayers adsorbed on exfoliated graphite

Structural evolution of ferromagnetic 3He multilayers adsorbed on exfoliated graphite

Thermodynamics of Heisenberg ferromagnets with arbitrary spin in a magnetic field

Thermodynamic properties of the 2D frustrated Heisenberg model for the entire J1–J2 circle

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