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The Hall Effect

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The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).

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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

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Engineering Plateau Phase Transition in Quantum Anomalous Hall Multilayers.

Deyi Zhuo¹, Lingjie Zhou¹, Yi-Fan Zhao¹

¹Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, United States.

|June 3, 2024

Summary

This summary is machine-generated.

Quantum anomalous Hall insulators exhibit a plateau phase transition. Researchers observed consistent critical exponents for transitions with Chern number changes of 1 and 3, suggesting universal behavior in these topological materials.

Keywords:

Quantum anomalous Hall insulator molecular beam epitaxy plateau phase transition scaling behavior topological insulator

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Area of Science:

Condensed Matter Physics
Materials Science
Quantum Physics

Background:

Quantum anomalous Hall (QAH) insulators possess unique topological properties.
Plateau phase transitions in QAH insulators involve changes in magnetic domain structure.
The Chern number (C) of QAH insulators can be tuned by sample layer structure.

Purpose of the Study:

To investigate magnetic field-driven plateau phase transitions in QAH insulators.
To explore transitions between QAH states with odd Chern number changes (ΔC).
To understand the universality of critical exponents in these transitions.

Main Methods:

Growth of magnetic topological insulator multilayers using molecular beam epitaxy.
Experimental realization of magnetic field-driven plateau phase transitions.
Construction of a four-layer Chalker-Coddington network model.

Main Results:

Achieved plateau phase transitions between QAH states with ΔC = 1 and ΔC = 3.
Found nearly identical critical exponents for plateau phase transitions with ΔC = 1 and ΔC = 3.
The network model supports the observed consistency in critical exponents.

Conclusions:

Critical exponents for plateau phase transitions in QAH insulators exhibit universality for different Chern number changes.
The findings suggest a deeper understanding of critical behaviors in topological phase transitions.
This research encourages further studies on plateau phase transitions with varying ΔC in QAH insulators.