Antiferromagnetism in simple metals

David R. Penn; Morrel H. Cohen

doi:10.1103/PhysRev.155.468

Antiferromagnetism in simple metals

David R. Penn, Morrel H. Cohen

Research output: Contribution to journal › Article › peer-review

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Abstract

The antiferromagnetic or spin-density-wave (SDW) state is studied for the case of a simple metal with the aid of a simplified electron-electron exchange interaction of the form v(q)=B(λ2+q2). As was found by Overhauser, the SDW state has lower energy than the normal state for sufficiently large values of B and 1λ. A detailed analysis of the finite-amplitude SDW state is carried out. We find that the wave number Q of the SDW state may be significantly less than 2kF even for an interaction just strong enough for antiferromagnetism. The Fermi surface has an appreciable area of contact with the magnetic zone boundary. The phase transition from the paramagnetic to the antiferromagnetic state is first-order as a function of the coupling constant.

Original language	English (US)
Pages (from-to)	468-477
Number of pages	10
Journal	Physical Review
Volume	155
Issue number	2
DOIs	https://doi.org/10.1103/PhysRev.155.468
State	Published - 1967
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRev.155.468

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title = "Antiferromagnetism in simple metals",

abstract = "The antiferromagnetic or spin-density-wave (SDW) state is studied for the case of a simple metal with the aid of a simplified electron-electron exchange interaction of the form v(q)=B(λ2+q2). As was found by Overhauser, the SDW state has lower energy than the normal state for sufficiently large values of B and 1λ. A detailed analysis of the finite-amplitude SDW state is carried out. We find that the wave number Q of the SDW state may be significantly less than 2kF even for an interaction just strong enough for antiferromagnetism. The Fermi surface has an appreciable area of contact with the magnetic zone boundary. The phase transition from the paramagnetic to the antiferromagnetic state is first-order as a function of the coupling constant.",

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year = "1967",

doi = "10.1103/PhysRev.155.468",

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T1 - Antiferromagnetism in simple metals

AU - Penn, David R.

AU - Cohen, Morrel H.

PY - 1967

Y1 - 1967

N2 - The antiferromagnetic or spin-density-wave (SDW) state is studied for the case of a simple metal with the aid of a simplified electron-electron exchange interaction of the form v(q)=B(λ2+q2). As was found by Overhauser, the SDW state has lower energy than the normal state for sufficiently large values of B and 1λ. A detailed analysis of the finite-amplitude SDW state is carried out. We find that the wave number Q of the SDW state may be significantly less than 2kF even for an interaction just strong enough for antiferromagnetism. The Fermi surface has an appreciable area of contact with the magnetic zone boundary. The phase transition from the paramagnetic to the antiferromagnetic state is first-order as a function of the coupling constant.

AB - The antiferromagnetic or spin-density-wave (SDW) state is studied for the case of a simple metal with the aid of a simplified electron-electron exchange interaction of the form v(q)=B(λ2+q2). As was found by Overhauser, the SDW state has lower energy than the normal state for sufficiently large values of B and 1λ. A detailed analysis of the finite-amplitude SDW state is carried out. We find that the wave number Q of the SDW state may be significantly less than 2kF even for an interaction just strong enough for antiferromagnetism. The Fermi surface has an appreciable area of contact with the magnetic zone boundary. The phase transition from the paramagnetic to the antiferromagnetic state is first-order as a function of the coupling constant.

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JO - Physical Review

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Antiferromagnetism in simple metals

Abstract

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