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Itinerant antiferromagnetism in an infinite linear chain
Author(s) -
Johansson B.,
Berggren K.F.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560040751
Subject(s) - coupling constant , antiferromagnetism , constant (computer programming) , chain (unit) , ground state , condensed matter physics , physics , coupling (piping) , state (computer science) , anomaly (physics) , quantum mechanics , spin (aerodynamics) , quantum electrodynamics , atomic physics , mathematics , thermodynamics , materials science , algorithm , computer science , metallurgy , programming language
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 like ω( q ) ˜ ‖sin ( qa )‖.