Ferromagnetism in Linear Chains

Willett, Roger D.; Gaura, R. M.; Landee, C. P.

doi:10.1007/978-1-4684-4175-8_3

Cited by 25 publications

(20 citation statements)

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“…ion, is also well-known as a Heisenberg ion and forms many linear chain antiferromagnets [17] and some one-dimensional ferromagnets [18]. ion, is also well-known as a Heisenberg ion and forms many linear chain antiferromagnets [17] and some one-dimensional ferromagnets [18].…”

Section: Some Other Aspectsmentioning

confidence: 99%

“…Let it be clear right at the beginning that this magnetic behavior follows directly from the structure of the various compounds.The study of magnetic systems which display large amounts of order in but one or two dimensions has been one of the most active areas recently in solid state physics and chemistry [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Certainly the intracluster magnetic exchange in Chap.…”

mentioning

confidence: 99%

“…The study of magnetic systems which display large amounts of order in but one or two dimensions has been one of the most active areas recently in solid state physics and chemistry [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The reason for this seems to be that, though Ising investigated the theory of ordering in a one-dimensional ferromagnet as long ago as 1925 [21], it was not until recently that it was realized that compounds existed that really displayed this short-ranged order.…”

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confidence: 99%

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Lower Dimensional Magnetism

Carlin¹

1986

Magnetochemistry

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Much of what has gone heretofore could come under the classification of short-range order. Certainly the intracluster magnetic exchange in Chap. 5 falls within this heading, and a significant part of the discussion of Chap. 6 also dealt with this subject. By "shortrange order," we shall mean the accumulation of entropy in a magnetic system above the long-range ordering temperature. Though this occurs with all magnetic systems, the physical meaning implied by the chapter title is that magnetic ions are assumed here to interact only with their nearest neighbors in a particular spatial sense. For operational purposes, the term will be restricted to magnetic interactions in one and two (lattice) dimensions. In that regard, it is interesting to note that the discussion is thereby restricted to the paramagnetic region. Let it be clear right at the beginning that this magnetic behavior follows directly from the structure of the various compounds.The study of magnetic systems which display large amounts of order in but one or two dimensions has been one of the most active areas recently in solid state physics and chemistry [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The reason for this seems to be that, though Ising investigated the theory of ordering in a one-dimensional ferromagnet as long ago as 1925 [21], it was not until recently that it was realized that compounds existed that really displayed this short-ranged order. The first substance recognized as behaving as a linear chain or onedimensional magnet is apparently CU(NH3)4S0 4' H 20 (CTS). Broad maxima at low temperatures were discovered in measurements of both the susceptibilities and the specific heat [22]. Griffith [23] provided the first quantitative fit of the data, using the calculations for a linear chain of Bonner and Fisher [24]. Fortunately, the theoreticians had been busy already for some time [4] in investigating the properties of onedimensional systems, so that the field has grown explosively once it was recognized that experimental realizations could be found. One-Dimensional or Linear Chain SystemsThere are very good theories available which describe the thermodynamic properties of one-dimensional (lD) magnetic systems, at least for 9'=t; what may be more surprising is that there are extensive experimental data as well of metal ions linked into uniform chains.The first point ofinterest, discovered long ago by Ising [21], is that an infinitely long ID system undergoes long-range order only at the temperature of absolute zero.R. L. Carlin, Magnetochemistry

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Section: Some Other Aspectsmentioning

confidence: 99%

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Lower Dimensional Magnetism

Carlin¹

1986

Magnetochemistry

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“…Hamiltonian [33] such as anisotropic or antisymmetric exchange, g-tensor anisotropy, dipolar interactions between spins and hyperfine interactions.…”

Section: Introductionmentioning

confidence: 99%

“…Both have FM exchange in 2D layers whose direct modelling is very difficult and weak AFM exchange between layers. Willett, Gaura and Landee [33] review crystals with FM linear chains in terms of sublattice magnetization and discuss spin Hamiltonians in detail. AFM and SF phases are described by the magnetic fields H AF and H A .…”

Section: Introductionmentioning

confidence: 99%

Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba₃Cu₃In₄O₁₂and Ba₃Cu₃Sc₄O₁₂

Kumar¹,

Cava²,

Soos³

2013

J. Phys.: Condens. Matter

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Synthesis, Structure, and Magnetic Properties of Three New One- Dimensional Nickel(II) Complexes: New Magnetic Model for the First One-DimensionalS=1 Complex with Alternating Ferro-Ferromagnetic Coupling

et al. 2001

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Three new one-dimensional nickel(II) complexes with the formulas trans-[Ni(N-Eten)2(mu1.3-N3)]n(ClO4)n (1), trans-[Ni(N-Eten)2(mu1.3-N3)]n(PF6)n (2), and cis-[Ni(N-Eten)(mu1.1-N3)2]n (3) (N-Eten = N-Ethylethylenediamine) were synthesized and characterized. Complex 1 has the P2(1)/c space group and consists of a structurally and magnetically alternating one-dimensional antiferromagnetic system with end-to-end azido bridges. Compound 2 has the P1 space group and has alternate units in its structure but consists of a magnetically uniform one-dimensional antiferromagnetic system with end-to-end azido bridges. Complex 3 has the I2/a space group and may be described as a structurally and magnetically alternating one-dimensional ferromagnetic system with double azido bridged ligands in an end-on coordination mode. The chi(M)T versus T plots for compound 3 suggest an intramolecular ferromagnetic interaction between adjacent NiII ions and metamagnetism at low temperature (below 10 K). The magnetization measurements versus applied field confirm this metamagnetic ordering. In order to describe the magnetic data of this compound we developed a general formula for the magnetic susceptibility of the isotropic ferro-ferromagnetic S = 1 Heisenberg chain in terms of the alternation parameter alpha (= J2/J1); this assumed a variation of chi(M)T versus the length N.

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Ferromagnetism in Linear Chains

Cited by 25 publications

References 120 publications

Lower Dimensional Magnetism

Lower Dimensional Magnetism

Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba₃Cu₃In₄O₁₂and Ba₃Cu₃Sc₄O₁₂

Synthesis, Structure, and Magnetic Properties of Three New One- Dimensional Nickel(II) Complexes: New Magnetic Model for the First One-DimensionalS=1 Complex with Alternating Ferro-Ferromagnetic Coupling

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Ferromagnetism in Linear Chains

Cited by 25 publications

References 120 publications

Lower Dimensional Magnetism

Lower Dimensional Magnetism

Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba3Cu3In4O12and Ba3Cu3Sc4O12

Synthesis, Structure, and Magnetic Properties of Three New One- Dimensional Nickel(II) Complexes: New Magnetic Model for the First One-DimensionalS=1 Complex with Alternating Ferro-Ferromagnetic Coupling

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Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba₃Cu₃In₄O₁₂and Ba₃Cu₃Sc₄O₁₂