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Fractional quantum hall effect in infinite-layer systems.

J D Naud¹, L P Pryadko, S L Sondhi

¹Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.

Physical Review Letters

|January 3, 2001

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Stacked 2D electron systems in magnetic fields show 3D fractional quantum Hall phases with novel bulk properties like irrational braiding. Their surface phases are chiral and act as semimetals conducting only at T > 0 or with disorder.

Area of Science:

Condensed Matter Physics
Quantum Hall Effect
Topological Phases of Matter

Background:

Two-dimensional electron systems (2D e- systems) in strong magnetic fields exhibit the fractional quantum Hall effect (FQE).
Stacked 2D e- systems can realize three-dimensional (3D) topological phases.
Understanding the properties of these 3D phases is crucial for advancing topological quantum computing and materials science.

Purpose of the Study:

To analyze the simplest 3D fractional quantum Hall phases realized in stacked 2D e- systems.
To investigate novel bulk properties, such as irrational braiding, within these phases.
To characterize the unique "one and a half" dimensional surface phases and their conductive behavior.

Main Methods:

Analysis of the simplest 3D fractional quantum Hall phases.

Related Experiment Videos

Theoretical investigation of bulk properties including braiding statistics.

Application of sum rule and renormalization group arguments to analyze surface phase conduction.

Main Results:

Identification of novel bulk properties, including irrational braiding, in 3D fractional quantum Hall phases.
Discovery of "one and a half" dimensional chiral surface phases.
Determination that these surface phases behave as chiral semimetals, conducting only at finite temperatures (T > 0) or in the presence of disorder, when interlayer tunneling is marginal or irrelevant.

Conclusions:

Stacked 2D e- systems provide a platform for realizing complex 3D topological phases.
The identified surface phases exhibit unique chiral transport properties.
These findings offer insights into the behavior of topological matter and potential applications in quantum technologies.