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Related Experiment Video

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

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Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect.

Bo Yang¹, Zi-Xiang Hu², Ching Hua Lee³

¹Complex Systems Group, Institute of High Performance Computing, A*STAR, Singapore 138632, Singapore.

Physical Review Letters

|April 22, 2017

Summary

We generalize Haldane pseudopotentials for anisotropic fractional quantum Hall systems. This reveals the metric of quantum Hall fluids and identifies new bound states and nematic order diagnostics.

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Area of Science:

Condensed Matter Physics
Quantum Hall Effect

Background:

Fractional quantum Hall (FQH) systems exhibit exotic topological phases.
Haldane pseudopotentials are crucial for describing interactions in FQH systems.
Anisotropy is present in experimentally realized FQH systems.

Purpose of the Study:

Generalize Haldane pseudopotentials to anisotropic FQH systems.
Develop a formalism to analyze translation-invariant interactions in these systems.
Investigate the role of anisotropy in FQH physics.

Main Methods:

Generalization of Haldane pseudopotentials.
Expansion of interactions over a complete basis.
Analysis of bound states in the infinite plane.

Main Results:

The formalism reveals the intrinsic metric of incompressible FQH fluids.
Anisotropic pseudopotentials create novel bound states for particle clusters.
Anisotropic pseudopotentials serve as a diagnostic for FQH nematic order.
Generalized pseudopotentials quantify anisotropic contributions to effective interactions.

Conclusions:

The generalized pseudopotential formalism is applicable to anisotropic FQH systems.
Anisotropy introduces new phenomena like distinct bound states and nematic order.
This work provides a tool to understand and diagnose anisotropic effects in FQH physics and fractional Chern insulators.