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Acoustic computing: At tunable pseudospin-1 Hermitian Dirac-like cone.
Mustahseen M Indaleeb1, Hossain Ahmed2, Sourav Banerjee1
1Integrated Material Assessment and Predictive Simulations Laboratory (iMAPS), Department of Mechanical Engineering, University of South Carolina, Columbia, South Carolina 29208, USA.
The Journal of the Acoustical Society of America
|October 1, 2022
Summary
This study introduces acoustic logic gates using Hermitian Dirac-like cones for Boolean algebra computation. These novel gates enable all Boolean computations with phononic crystals, offering a new path for acoustic computing.
Area of Science:
- Acoustics
- Condensed Matter Physics
- Materials Science
Background:
- Acoustic computing offers a promising alternative to electronic computing.
- Previous methods for acoustic logic gates have limitations in performing all Boolean algebra operations.
- Phononic crystals (PnCs) are engineered materials with unique acoustic properties.
Purpose of the Study:
- To propose and demonstrate acoustic logic gates based on Hermitian Dirac-like cones.
- To explore the use of Dirac-like cones near bipolar antisymmetric deaf bands for acoustic computing.
- To enable all possible Boolean algebra computations using acoustic phenomena.
Main Methods:
- Utilizing two-dimensional phononic crystals (PnCs) with tunable square columns in air media.
- Predictively tuning deaf bands to form triply to doubly degenerated Dirac-like cones.
- Designing acoustic logic gates for AND, NAND, OR, and NOR operations.
- Demonstrating systems with one and six degrees of freedom.
Main Results:
- Hermitian Dirac-like cones were successfully created near bipolar antisymmetric deaf bands.
- The formation of these cones enables comprehensive Boolean algebra computation.
- Acoustic logic gates were designed and demonstrated using phononic crystals.
- Tunable PnCs activated specific logic gates through simple rotation.
Conclusions:
- Hermitian Dirac-like cones provide a unique opportunity for acoustic computing.
- The proposed phononic crystal-based logic gates can perform all Boolean algebra operations.
- This research advances the development of acoustic computing devices.
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