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Author Correction: Harmonic phase in polar liquids and spin ice
1London Centre for Nanotechnology and Department of Physics and Astronomy, University College London, 17-19 Gordon Street, London, WC1H 0AJ, UK. s.t.bramwell@ucl.ac.uk.
Nature Communications
|April 18, 2018
Summary
This article corrects a mathematical error regarding tensor eigenvalues in the Coulomb and harmonic phases. The corrected formulas clarify the representation of these phases in the study.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- The study investigates the properties of matter at low temperatures, focusing on phase transitions.
- Understanding the behavior of tensor quantities is crucial for characterizing different phases of matter.
Purpose of the Study:
- To correct a previously published mathematical error concerning tensor eigenvalues in the Coulomb and harmonic phases.
- To provide accurate representations of the tensor S αβ (q) in different physical conditions.
Main Methods:
- Mathematical derivation and correction of formulas related to tensor eigenvalues.
- Analysis of the geometric representation of tensor properties in distinct phases.
Main Results:
- The tensor S αβ (q) in the Coulomb phase has specific eigenvalue properties.
- The corrected formulas accurately describe the shape and evolution of the tensor representation in both Coulomb and harmonic phases, transitioning from a disc to a spheroid.
Conclusions:
- Accurate mathematical descriptions are essential for the correct interpretation of physical phenomena.
- The corrected findings ensure the integrity of the research on phase transitions and tensor properties.
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