Ground-State Properties of Finite Antiferromagnetic Chains

H.P. van de Braak, W.J. Caspers

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Abstract

Exact calculations are presented for the ground state of linear antiferromagnetic Heisenberg chains with open ends. The wave function and the energy are given for chains with N = 4, 6, and 8, and quantum number S = 1/2. It is shown that in the limit for N - ∞ the ground state is probably nondegenerate and the long-range order tends to zero. The short-range order shows a strongly oscillating character due to end effects persisting over relatively long distances. A comparison with closed rings is made and the connection with the observation of a reduction of the zero-point deviation in the neighbourhood of non-magnetic impurities in more-dimensional systems is pointed out.
Original languageEnglish
Pages (from-to)933-940
JournalPhysica status solidi B
Volume35
Issue number2-3
DOIs
Publication statusPublished - 1969

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Ground state
ground state
Wave functions
quantum numbers
wave functions
Impurities
deviation
impurities
rings
energy

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van de Braak, H.P. ; Caspers, W.J. / Ground-State Properties of Finite Antiferromagnetic Chains. In: Physica status solidi B. 1969 ; Vol. 35, No. 2-3. pp. 933-940.
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Ground-State Properties of Finite Antiferromagnetic Chains. / van de Braak, H.P.; Caspers, W.J.

In: Physica status solidi B, Vol. 35, No. 2-3, 1969, p. 933-940.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Ground-State Properties of Finite Antiferromagnetic Chains

AU - van de Braak, H.P.

AU - Caspers, W.J.

PY - 1969

Y1 - 1969

N2 - Exact calculations are presented for the ground state of linear antiferromagnetic Heisenberg chains with open ends. The wave function and the energy are given for chains with N = 4, 6, and 8, and quantum number S = 1/2. It is shown that in the limit for N - ∞ the ground state is probably nondegenerate and the long-range order tends to zero. The short-range order shows a strongly oscillating character due to end effects persisting over relatively long distances. A comparison with closed rings is made and the connection with the observation of a reduction of the zero-point deviation in the neighbourhood of non-magnetic impurities in more-dimensional systems is pointed out.

AB - Exact calculations are presented for the ground state of linear antiferromagnetic Heisenberg chains with open ends. The wave function and the energy are given for chains with N = 4, 6, and 8, and quantum number S = 1/2. It is shown that in the limit for N - ∞ the ground state is probably nondegenerate and the long-range order tends to zero. The short-range order shows a strongly oscillating character due to end effects persisting over relatively long distances. A comparison with closed rings is made and the connection with the observation of a reduction of the zero-point deviation in the neighbourhood of non-magnetic impurities in more-dimensional systems is pointed out.

U2 - 10.1002/pssb.19690350244

DO - 10.1002/pssb.19690350244

M3 - Article

VL - 35

SP - 933

EP - 940

JO - Physica status solidi B

JF - Physica status solidi B

SN - 0370-1972

IS - 2-3

ER -