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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Non-Hermitian semi-Dirac semi-metals.

Ayan Banerjee¹, Awadhesh Narayan¹

¹Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore 560012, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|February 18, 2021

Summary

This summary is machine-generated.

This study introduces non-Hermitian semi-Dirac semimetals with particle gain/loss, revealing topological phase transitions and exceptional points. It explores edge states and the non-Hermitian skin effect in these novel topological systems.

Keywords:

non-Hermitian systems semi-Dirac semimetals topological phases topological semimetals

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Area of Science:

Condensed Matter Physics
Topological Materials
Quantum Mechanics

Background:

Topology plays a crucial role in understanding exotic phases in non-Hermitian systems.
Semi-Dirac semimetals exhibit unique linear and quadratic momentum dispersion.
Non-Hermitian systems with particle gain-and-loss terms are of significant current interest.

Purpose of the Study:

To propose and investigate the non-Hermitian generalization of semi-Dirac semimetals.
To study topological phase transitions induced by particle gain-and-loss terms.
To analyze the behavior of edge states and the non-Hermitian skin effect.

Main Methods:

Theoretical modeling of two-dimensional non-Hermitian semi-Dirac semimetals.
Analysis of topological phase transitions using winding number and vorticity.
Numerical and analytical calculations of edge states.
Investigation of bulk-boundary correspondence and the non-Hermitian skin effect.

Main Results:

Non-Hermitian terms create exceptional points (EPs) from semi-Dirac points.
A detailed topological phase diagram was mapped.
Bulk-boundary correspondence and absence of the non-Hermitian skin effect were established for certain models.
The non-Hermitian skin effect was restored in models with asymmetric hopping.

Conclusions:

The study successfully generalizes semi-Dirac semimetals to the non-Hermitian regime.
Exceptional points and topological phase transitions are key features of these systems.
The presence or absence of the non-Hermitian skin effect depends on the model's symmetry, offering insights into topological phenomena in non-Hermitian materials.