Abstract
Exact results for the thermodynamic quantities of the one-dimensional classical Heisenberg model with nearest- and next-nearest-neighbor exchange interactions are obtained by means of the numerical transfer matrix method. For a wide range of exchange constants, the system exhibits helical short-range order on which we focus our attention. We find that the Fourier-transformed spin correlation function shows a maximum with asymmetric shape at the characteristic wave-number ±qm (≠0, ±π). The correlation length defined as the inverse of the width at q=qm obeys a simple scaling law and shows a power-law singularity at zero temperature. Results for the heat capacity and the susceptibility are also presented and discussed in connection with the helical short-range order.
| Original language | English |
|---|---|
| Pages (from-to) | 391-398 |
| Number of pages | 8 |
| Journal | Zeitschrift für Physik B Condensed Matter |
| Volume | 72 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sep 1988 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
Cite this
Thermodynamic properties of the classical Heisenberg chain with nearest- and next-nearest-neighbor interactions. / Harada, I.; Mikeska, H. J.
In: Zeitschrift für Physik B Condensed Matter, Vol. 72, No. 3, 09.1988, p. 391-398.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Thermodynamic properties of the classical Heisenberg chain with nearest- and next-nearest-neighbor interactions
AU - Harada, I.
AU - Mikeska, H. J.
PY - 1988/9
Y1 - 1988/9
N2 - Exact results for the thermodynamic quantities of the one-dimensional classical Heisenberg model with nearest- and next-nearest-neighbor exchange interactions are obtained by means of the numerical transfer matrix method. For a wide range of exchange constants, the system exhibits helical short-range order on which we focus our attention. We find that the Fourier-transformed spin correlation function shows a maximum with asymmetric shape at the characteristic wave-number ±qm (≠0, ±π). The correlation length defined as the inverse of the width at q=qm obeys a simple scaling law and shows a power-law singularity at zero temperature. Results for the heat capacity and the susceptibility are also presented and discussed in connection with the helical short-range order.
AB - Exact results for the thermodynamic quantities of the one-dimensional classical Heisenberg model with nearest- and next-nearest-neighbor exchange interactions are obtained by means of the numerical transfer matrix method. For a wide range of exchange constants, the system exhibits helical short-range order on which we focus our attention. We find that the Fourier-transformed spin correlation function shows a maximum with asymmetric shape at the characteristic wave-number ±qm (≠0, ±π). The correlation length defined as the inverse of the width at q=qm obeys a simple scaling law and shows a power-law singularity at zero temperature. Results for the heat capacity and the susceptibility are also presented and discussed in connection with the helical short-range order.
UR - http://www.scopus.com/inward/record.url?scp=0042263452&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042263452&partnerID=8YFLogxK
U2 - 10.1007/BF01312827
DO - 10.1007/BF01312827
M3 - Article
AN - SCOPUS:0042263452
VL - 72
SP - 391
EP - 398
JO - European Physical Journal B
JF - European Physical Journal B
SN - 1434-6028
IS - 3
ER -