Abstract <p>In this study, we present a theoretical analysis of the quantum capacitance of stanene under a magnetic field oriented along the <i>z</i>-axis, considering scenarios with and without an applied static electric field. These findings indicate that stanene is a material with a controllable band gap, achieved by suppressing spin–orbit interactions through the introduction of an external electric field, which is an advantage over graphene for future electronic applications. The quantum capacitance behavior reveals a pronounced peak at the Fermi energy <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11453_2025_3617_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\({{E}_{{\text{F}}}} = 0\)</EquationSource> <!--Semicnd2560210Tam-m1--> </InlineEquation> when the energy associated with the electric field matches the spin–orbit interaction strength. When the electric field is twice as strong as the spin–orbit coupling, the capacitance displays two symmetric peak values. Furthermore, a beating pattern emerges in the quantum capacitance oscillations at low magnetic fields (below 1.5 T), whereas more pronounced splitting is observed in stronger magnetic fields (above 1.5 T), indicating enhanced oscillation separation.</p>

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Quantum Capacitance of Monolayer Stanene under an External Magnetic Field

  • Nguyen Thi Minh Tam

摘要

Abstract

In this study, we present a theoretical analysis of the quantum capacitance of stanene under a magnetic field oriented along the z-axis, considering scenarios with and without an applied static electric field. These findings indicate that stanene is a material with a controllable band gap, achieved by suppressing spin–orbit interactions through the introduction of an external electric field, which is an advantage over graphene for future electronic applications. The quantum capacitance behavior reveals a pronounced peak at the Fermi energy \({{E}_{{\text{F}}}} = 0\) when the energy associated with the electric field matches the spin–orbit interaction strength. When the electric field is twice as strong as the spin–orbit coupling, the capacitance displays two symmetric peak values. Furthermore, a beating pattern emerges in the quantum capacitance oscillations at low magnetic fields (below 1.5 T), whereas more pronounced splitting is observed in stronger magnetic fields (above 1.5 T), indicating enhanced oscillation separation.