Universal low-temperature properties of quantum and classical ferromagnetic chains

Abstract

We identify the critical theory controlling the universal, low temperature, macroscopic properties of both quantum and classical ferromagnetic chains. The theory is the quantum mechanics of a single rotor. The mapping leads to an efficient method for computing scaling functions to high accuracy.

4 pages, 2 tables and 3 Postscript figures

References in corpus (3)

• Continuum quantum ferromagnets at finite temperature and the Quantum Hall effect
• Universal Finite-Size Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field. II
• Universal Finite-Size Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field,

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• Chiral Metal as a Ferromagnetic Super Spin Chain
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• Thermodynamics of delta-chain with ferro- and antiferromagnetic interactions
• Low-temperature properties of classical zigzag spin chain at the ferromagnet-helimagnet transition point
• The delta-chain with ferro- and antiferromagnetic interactions in applied magnetic field
• A Semi-Classical Analysis of Order from Disorder
• Low-Temperature Properties of Ferromagnetic Spin Chains in a Magnetic Field
• Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
• Universal low-temperature magnetic properties of the classical and quantum dimerized ferromagnetic spin chain
• Thermodynamics of Ferromagnetic Spin Chains in a Magnetic Field: Impact of the Spin-Wave Interaction
• Low-temperature thermodynamics of the classical frustrated ferromagnetic chain in magnetic field