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Anomalous fluctuations in phases with a broken continuous symmetry
1Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria.
Physical Review Letters
|February 3, 2004
Summary
Goldstone modes cause large fluctuations in the order parameter below the critical temperature (Tc). In 2
Area of Science:
- Condensed matter physics
- Statistical mechanics
Background:
- Broken continuous symmetries lead to Goldstone modes.
- These modes can influence system properties near critical temperatures.
Purpose of the Study:
- Investigate the impact of Goldstone modes on order parameter fluctuations.
- Analyze the scaling behavior of spontaneous magnetization.
- Examine the dynamical susceptibility and structure factor in 2D systems.
Main Methods:
- Theoretical analysis of Goldstone mode contributions.
- Calculation of order parameter variance and susceptibility scaling.
- Derivation of dynamical susceptibility and structure factor expressions.
Main Results:
- Goldstone modes induce anomalously large fluctuations of the zero-field order parameter below Tc.
- In 2
- A singular contribution to dynamical susceptibility is found for 2D ground states.
Conclusions:
- The anomalous scaling is driven by longitudinal susceptibility divergence.
- The dynamic structure factor's critical continuum may be observable via neutron scattering in 2D quantum antiferromagnets.