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A short guide to topological terms in the effective theories of condensed matter

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ABSTRACT

This article is meant as a gentle introduction to the topological terms that often play a decisive role in effective theories describing topological quantum effects in condensed matter systems. We first take up several prominent examples, mainly from the area of quantum magnetism and superfluids/superconductors. We then briefly discuss how these ideas are now finding incarnations in the studies of symmetry-protected topological phases, which are in a sense a generalization of the concept of topological insulators to a wider range of materials, including magnets and cold atoms.

No MeSH data available.


Schematic picture of a magnetization curve (magnetization per site m as a function of applied magnetic field H) featuring a plateau region at . The saturation value of m is denoted as msat. (Adapted from Kim and Tanaka [10].)
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Figure 4: Schematic picture of a magnetization curve (magnetization per site m as a function of applied magnetic field H) featuring a plateau region at . The saturation value of m is denoted as msat. (Adapted from Kim and Tanaka [10].)

Mentions: A closely related phenomenon, also driven by the phase interference between vortex Berry phases, occurs in antiferromagnets in an external magnetic field. When one probes the magnetization per site m as a function of the external field H, there often appear plateau regions in the magnetization curve (see figure 4), contrary to classical analysis which predicts a monotonic increase. The crucial question is when and how the plateau forms.


A short guide to topological terms in the effective theories of condensed matter
Schematic picture of a magnetization curve (magnetization per site m as a function of applied magnetic field H) featuring a plateau region at . The saturation value of m is denoted as msat. (Adapted from Kim and Tanaka [10].)
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5036487&req=5

Figure 4: Schematic picture of a magnetization curve (magnetization per site m as a function of applied magnetic field H) featuring a plateau region at . The saturation value of m is denoted as msat. (Adapted from Kim and Tanaka [10].)
Mentions: A closely related phenomenon, also driven by the phase interference between vortex Berry phases, occurs in antiferromagnets in an external magnetic field. When one probes the magnetization per site m as a function of the external field H, there often appear plateau regions in the magnetization curve (see figure 4), contrary to classical analysis which predicts a monotonic increase. The crucial question is when and how the plateau forms.

View Article: PubMed Central - PubMed

ABSTRACT

This article is meant as a gentle introduction to the topological terms that often play a decisive role in effective theories describing topological quantum effects in condensed matter systems. We first take up several prominent examples, mainly from the area of quantum magnetism and superfluids/superconductors. We then briefly discuss how these ideas are now finding incarnations in the studies of symmetry-protected topological phases, which are in a sense a generalization of the concept of topological insulators to a wider range of materials, including magnets and cold atoms.

No MeSH data available.