Order parameters, broken symmetry, and topology
@article{Sethna1992OrderPB, title={Order parameters, broken symmetry, and topology}, author={James P. Sethna}, journal={arXiv: Condensed Matter}, year={1992} }
We introduce the theoretical framework we use to study the bewildering variety of phases in condensed--matter physics. We emphasize the importance of the breaking of symmetries, and develop the idea of an order parameter through several examples. We discuss elementary excitations and the topological theory of defects.
Figures from this paper
26 Citations
Topological Defects in Physics Essay for the “Differential Geometry in Physics” course
- Physics, Education
- 2019
This essay describes the basics of homotopy theory, its relation to group theory and its use in several branches of modern physics for characterising topological defects. The goal of the essay is to…
Statistical Mechanics: Entropy, Order Parameters and Complexity
- Physics
- 2006
1. What is Statistical Mechanics? 2. Random walks and emergent properties 3. Temperature and equilibrium 4. Phase-space dynamics and ergodicity 5. Entropy 6. Free Energies 7. Quantum statistical…
Characterizing the Dynamic Properties of Toron-Umbilic Pairs
- Physics
- 2016
Topological defects are studied in many different fields of physics and have recently attracted the attention of researchers due to the interesting applications they provide 15. Liquid crystals,…
Computer simulation of the influence of hydrogen on stress–order correlations in amorphous silicon
- Materials Science
- 2009
This paper reports the computational simulation of the correlations between atomic-level stress and local structure fluctuations in a computational model of amorphous silicon. A single parameter has…
ULTRAFAST PROCESSES IN 2D MATERIALS
- Physics
- 2017
In this dissertation, we study theoretically ultrafast processes accessible via the interaction of the ultrafast and intense laser pulses with 2D materials. The ultrafast and strong laser pulse has a…
Spiral Patterns in Liquid Crystals
- Physics
- 2009
The macroscopic configurations of various two-dimensional liquid crystal systems are explored. Aster, vortex and spiral patterns are analyzed for both inactive nematic and polar liquid crystals, as…
General description and understanding of the nonlinear dynamics of mode-locked fiber lasers
- PhysicsScientific Reports
- 2017
Research into the attractors’ basins reveals the origin of stochasticity, hysteresis and multistability in these systems and presents a new method for quantitative analysis of these nonlinear phenomena.
Hierarchy, dimension, attractor and self-organization -- dynamics of mode-locked fiber lasers
- Physics
- 2016
Mode-locked fiber lasers are one of the most important sources of ultra-short pulses. However, A unified description for the rich variety of states and the driving forces behind the complex and…
Local Causal States and Discrete Coherent Structures
- PhysicsChaos
- 2018
A formal theory of coherent structures in fully discrete dynamical field theories is presented, builds on the notion of structure introduced by computational mechanics, generalizing it to a local spatiotemporal setting and offers an unsupervised approach to discover and describe coherent structures.
References
SHOWING 1-2 OF 2 REFERENCES
The topological theory of defects in ordered media
- Mathematics
- 1979
Aspects of the theory of homotopy groups are described in a mathematical style closer to that of condensed matter physics than that of topology. The aim is to make more readily accessible to…