Itinerant Antiferromagnetism in an Infinite Linear Chain

B. Johansson; K. -F. Berggren

doi:10.1103/PhysRev.181.855

Access by Xinjiang University

Itinerant Antiferromagnetism in an Infinite Linear Chain

B. Johansson and K. -F. Berggren

FOA, Fack, Stockholm, Sweden

PDF

Phys. Rev. 181, 855 – Published 10 May, 1969

DOI: https://doi.org/10.1103/PhysRev.181.855

Abstract

Overhauser's spin-density-wave state of a general pitch $Q$ is considered for a linear chain with a half-filled band. It is found that $Q = 2 k_{F}$ for all values of the coupling constant. Comparison is made with other Hartree-Fock states, and with a recent exact expression for the ground-state energy. The collective modes of the system are calculated numerically, and for large coupling constant they are found to behave as $ω (q) \sim | sin (qa) |$ .

References (22)

T. W. Ruijgruk and S. Rodriguez, Phys. Rev. 119, 596 (1960)
E. H. Lieb and F. Y. Wu, Phys. Rev. Letters 20, 1445 (1968)
A. W. Overhauser, Phys. Rev. 128, 1347 (1963)
K-F. Berggren and B. Johansson, Int. J. Quantum Chem. 2, 483 (1968)
I. A. Misurkin and A. A. Ovchinnikov, Zh. Eksperim. i Teor. Fiz. Pis'ma v Redaktsiyu 4, 248 (1966) [English transl.: Soviet Phys.—JETP Letters 4, 167 (1966)]
[M. J. S. Dewar, J. Chem. Soc. 3, 3544 (1952)]
N. F. Mott, Proc. Phys. Soc. (London) 62, 416 (1949) Phil. Mag. 6, 287 (1961) D. Adler et al., Phys. Rev. 155, 826 (1967) ibid.155, 851 (1967)
D. Jerome, T. M. Rice, and W. Kohn, Phys. Rev. 158, 462 (1967)
H. B. Dwight, Tables of Integrals and Other Mathematical Data (The Macmillan Co., New York, 1957)
V. Celli, G. Morandi, and G. Fano, Nuovo Cimento 43B, 42 (1966)
P.-O. Löwdin, J. Appl. Phys. 33, 251 (1962) R. Pauncz, Alternant Molecular Orbital Method (W. B. Saunders Co., Philadelphia, 1967)
C. A. Coulson, Tetrahedron 19, Suppl. 2, 49 (1963)
J. D. Swalen and J. de Heer, J. Chem. Phys. 40, 378 (1964)
J.-L. Calais, Arkiv Fysik 28, 511 (1964)
R. G. Parr, Quantum Theory of Molecular Electronic Structure (W. A. Benjamin, Inc., New York, 1964)
J. de Heer, Rev. Mod. Phys. 35, 631 (1963)
P. Nozières, Theory of Interacting Fermi Systems (W. A. Benjamin, Inc., New York, 1964), p. 247 ff
R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (McGraw-Hill Book Co., New York, 1967)
G. Fano and G. Pizzichini, Phys. Rev. 160, 219 (1967) [G. Fano (private communication)]
J. Linderberg and Y. Öhrn, J. Chem. Phys. 49, 716 (1968)
P. W. Andersson, Phys. Rev. 86, 694 (1952)
J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962)

[c1] T. W. Ruijgruk and S. Rodriguez, Phys. Rev. 119, 596 (1960)

[c2] E. H. Lieb and F. Y. Wu, Phys. Rev. Letters 20, 1445 (1968)

[c3] A. W. Overhauser, Phys. Rev. 128, 1347 (1963)

[c4] K-F. Berggren and B. Johansson, Int. J. Quantum Chem. 2, 483 (1968)

[c5] I. A. Misurkin and A. A. Ovchinnikov, Zh. Eksperim. i Teor. Fiz. Pis'ma v Redaktsiyu 4, 248 (1966) [English transl.: Soviet Phys.—JETP Letters 4, 167 (1966)]

[c6] [M. J. S. Dewar, J. Chem. Soc. 3, 3544 (1952)]

[c7] N. F. Mott, Proc. Phys. Soc. (London) 62, 416 (1949) Phil. Mag. 6, 287 (1961) D. Adler et al., Phys. Rev. 155, 826 (1967) ibid.155, 851 (1967)

[c8] D. Jerome, T. M. Rice, and W. Kohn, Phys. Rev. 158, 462 (1967)

[c9] H. B. Dwight, Tables of Integrals and Other Mathematical Data (The Macmillan Co., New York, 1957)

[c10] V. Celli, G. Morandi, and G. Fano, Nuovo Cimento 43B, 42 (1966)

[c11] P.-O. Löwdin, J. Appl. Phys. 33, 251 (1962) R. Pauncz, Alternant Molecular Orbital Method (W. B. Saunders Co., Philadelphia, 1967)

[c12] C. A. Coulson, Tetrahedron 19, Suppl. 2, 49 (1963)

[c13] J. D. Swalen and J. de Heer, J. Chem. Phys. 40, 378 (1964)

[c14] J.-L. Calais, Arkiv Fysik 28, 511 (1964)

[c15] R. G. Parr, Quantum Theory of Molecular Electronic Structure (W. A. Benjamin, Inc., New York, 1964)

[c16] J. de Heer, Rev. Mod. Phys. 35, 631 (1963)

[c17] P. Nozières, Theory of Interacting Fermi Systems (W. A. Benjamin, Inc., New York, 1964), p. 247 ff

[c18] R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (McGraw-Hill Book Co., New York, 1967)

[c19] G. Fano and G. Pizzichini, Phys. Rev. 160, 219 (1967) [G. Fano (private communication)]

[c20] J. Linderberg and Y. Öhrn, J. Chem. Phys. 49, 716 (1968)

[c21] P. W. Andersson, Phys. Rev. 86, 694 (1952)

[c22] J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962)

Physical Review Journals Archive

Export citation

Export citation

Itinerant Antiferromagnetism in an Infinite Linear Chain

Abstract

References (22)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation