Topolectrical Circuit Correspondence Design of Polyacetylene

Area of Science:

• Condensed Matter Physics
• Materials Science
• Quantum Chemistry

Background:

• Polyacetylene chains, in cis and trans configurations, are constructed from repeating -HC=CH- units.
• Predicting electronic and topological properties of long polyacetylene chains requires defining a periodic unit for band structure calculations.
• Experimental synthesis of single-layer polyacetylene chains faces significant limitations.

Purpose of the Study:

• To emulate electron transfer in polyacetylene polymer chains using a tight-binding model.
• To establish a one-to-one correspondence between polyacetylene polymers and a novel topological circuit.
• To investigate the electronic response and topological properties of trans-polyacetylene using a classical analogue.

Main Methods:

• Emulation of a tight-binding model for electron transfer.
• Development of a novel topological circuit for polyacetylene emulation.
• Utilizing density functional theory (DFT) and physical chemistry formalisms.
• Quantum system equivalent topolectrical circuit for high-precision analysis.

Main Results:

• A one-to-one correspondence between polyacetylene and a topological circuit was established.
• The electronic response of the circuit was found to be topologically sustained.
• Electron transfer in trans-polyacetylene quantum chains was studied with one-electron precision.

Conclusions:

• The developed topolectrical circuit serves as a viable classical system to study electron transfer in trans-polyacetylene.
• This approach overcomes limitations associated with experimental synthesis and provides high precision.
• The findings offer a new method for predicting electronic and topological properties of polyacetylene.