Abstract
We compute the ground-state spin-spin correlation function for the one-dimensional antiferromagnetic Heisenberg model of spin 1/2, 1, and 3/2. The spin-1 chain has a disordered ground state with a correlation length of 6.2 lattice spacings whereas the spin-1/2 and the spin-3/2 chains both have (ln(r)${)}^{\mathrm{\ensuremath{\sigma}}}$/r decaying correlation functions. The logarithmic corrections are different for the spin-1/2 and the spin-3/2 chains. Finite-size scaling is used to analyze the data for chains of up to 128 spins.
Keywords
PhysicsAntiferromagnetismSpinsSpin (aerodynamics)Ground stateCondensed matter physicsCorrelation function (quantum field theory)Heisenberg modelScalingMonte Carlo methodSigmaQuantum Monte CarloQuantum mechanicsThermodynamicsMathematics
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Publication Info
- Year
- 1990
- Type
- article
- Volume
- 64
- Issue
- 13
- Pages
- 1597-1600
- Citations
- 98
- Access
- Closed
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Cite This
Shoudan Liang
(1990).
Monte Carlo calculations of the correlation functions for Heisenberg spin chains at<i>T</i>=0.
Physical Review Letters
, 64
(13)
, 1597-1600.
https://doi.org/10.1103/physrevlett.64.1597
Identifiers
- DOI
- 10.1103/physrevlett.64.1597