Independent Dual-Channel Approach to Mesoscopic Graphene Transistors

Area of Science:

• Condensed matter physics
• Materials science
• Nanotechnology

Background:

• Graphene field-effect transistors (GFETs) possess unique switching and sensing properties.
• Understanding electron transport in GFETs is crucial for device optimization.

Purpose of the Study:

• To theoretically investigate GFETs using the tight-binding formalism with quantum capacitance correction.
• To develop and apply a novel transfer matrix method for analyzing electron transport in graphene ribbons.
• To calculate and compare GFET performance metrics with experimental data.

Main Methods:

• Tight-binding formalism with quantum capacitance correction.
• Unitary transformation to map graphene ribbons into dual channels.
• Development of a transfer matrix method for electron transport analysis.
• Retarded Green's function and real-space renormalization for electronic density of states.
• Landauer electrical conductance and Kubo-Greenwood formula for verification.

Main Results:

• A new transfer matrix method was developed for analyzing electron transport in dual channels of graphene ribbons.
• Electronic density of states for graphene ribbons with dislocations were calculated.
• Landauer electrical conductance was confirmed by the Kubo-Greenwood formula.
• Size- and gate-voltage-dependent source-drain currents in GFETs were calculated.

Conclusions:

• The developed theoretical framework accurately models electron transport in GFETs.
• The transfer matrix method provides a reliable approach for analyzing GFET performance.
• Calculated results show good agreement with experimental data, validating the model.