High-Temperature Expansions for the Spin-½ Heisenberg Model

Baker, George A.; Gilbert, H. E.; Eve, J.; Rushbrooke, G. S.

doi:10.1103/physrev.164.800

Cited by 231 publications

(38 citation statements)

References 21 publications

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“…The plot of the temperature dependence of magnetic susceptibility for silver(II) fluorosulfate in the 2-150 K temperature range is presented in Figure 6. Ag(SO 3 F) 2 orders ferromagnetically with a Curie temperature, Θ, of 24.8 K estimated from a Curie-Weiss curve fit above 150 K. At first approximation the magnetic superexchange constant, J, for a 2D system such as Ag(SO 3 F) 2 can be estimated from the mean-field approximation (i.e., Curie-Weiss law) and high-temperature series expansion by Baker et al [30] as Θ/2, thus yielding a J value of 1.0 meV. The magnetic behaviour of Ag(SO 3 F) 2 proves to be different from that of its antiferromagnetic (AFM) AgSO 4 sibling.…”

Section: Magnetic Properties and Esr Spectramentioning

confidence: 99%

Silver(II) Fluorosulfate: A Thermally Fragile Ferromagnetic Derivative of Divalent Silver in an Oxa‐Ligand Environment

et al. 2011

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] in a structure type related to that of AgF 2 . Puckered [Ag(SO 3 F) 2 ] sheets are present in the crystal structure with two oxygen atoms of the fluorosulfate anions utilized for bonding within the sheet; the third oxygen atom serves as a linker to the adjacent sheet. Terminal fluorine atoms form small cavities in the structure. The S-O stretching region of the vibrational (IR and Raman) spectra is rich in bands, thus confirming the structural complexity of Ag(SO 3 F) 2 . Ag(SO 3 F) 2 is a soft ferromagnet with a Curie temperature of 24.8 K and it shows a single broad electron spin resonance (ESR) with g = 2.183 at T = 293 K. The intrasheet magnetic superexchange constant, J, derived from

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Section: Magnetic Properties and Esr Spectramentioning

confidence: 99%

Silver(II) Fluorosulfate: A Thermally Fragile Ferromagnetic Derivative of Divalent Silver in an Oxa‐Ligand Environment

et al. 2011

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“…This empirical expression was in part suggested by the high-temperature series expansion of the susceptibility of a Heisenberg magnet. 41 The open circles in Fig. 17 are deduced from a comparison of our melting curve with that of Johnson et al 33 The solid dots come from the T vs. T~MN relation inherent in the comparative PT vs. PT~MN phase diagram of liquid 3He reported by Wheatley.…”

Section: Determination Of the A-transition Temperaturementioning

confidence: 99%

Properties of melting 3He: Specific heat, entropy, latent heat, and temperature

et al. 1978

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A sequence of experiments has been performed to measure thermal properties of liquid and solid 3He between the temp3eratures 1 and 25 mK at melting curve densities. A two-phase mixture of 'He sample was self-cooled by the Pomeranchuk method. A heat pulse technique was used, combined with measurements of pressure and volume, to yield separate determinations of liquid and solid properties: the specific heat of liquid 3He in the normal Fermi liquid and superfluid phases; the entropy of solid 3He above and through a nuclear magnetic transition at 1.10inK; and an absolute thermodynamic temperature scale based on measurement of latent heat of conversion of liquid to solid.

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“…Hence the series coefficients must, at some point, begin to alternate in sign. To check this point further we follow the procedure of Baker et al [8], in seeking evidence for a singularity at −K N in the uniform susceptibility, and at −K C in the staggered susceptibility. To this end we form the series for…”

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confidence: 99%