{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T12:02:34Z","timestamp":1773230554497,"version":"3.50.1"},"reference-count":23,"publisher":"IOP Publishing","issue":"10","license":[{"start":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T00:00:00Z","timestamp":1773100800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T00:00:00Z","timestamp":1773100800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2026,3,13]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We investigate the quantum capacitance (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>C<\/mml:mi>\n                              <mml:mi>Q<\/mml:mi>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) of silicene and germanene under perpendicular magnetic and electric fields, incorporating temperature effects and Gaussian broadening of Landau levels. When the perpendicular electric field is switched off (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi mathvariant=\"normal\">\u0394<\/mml:mi>\n                              <mml:mi>z<\/mml:mi>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>0<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ), the spectra display sharp Landau oscillations and a pronounced peak at the charge neutrality point, characteristic of massless Dirac fermions. Increasing the magnetic field strength increases the number of oscillation peaks and their separation, reflecting the\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msqrt>\n                            <mml:mi>B<\/mml:mi>\n                          <\/mml:msqrt>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    dependence of Landau level energies in two-dimensional Dirac systems. When an external electric field is applied (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi mathvariant=\"normal\">\u0394<\/mml:mi>\n                              <mml:mi>z<\/mml:mi>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>\u03bb<\/mml:mi>\n                              <mml:mrow>\n                                <mml:mtext>so<\/mml:mtext>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    and\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mn>2<\/mml:mn>\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>\u03bb<\/mml:mi>\n                              <mml:mrow>\n                                <mml:mtext>so<\/mml:mtext>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ), the oscillation peaks shift away from the Fermi level, indicating band gap opening due to inversion symmetry breaking. A comparison between silicene and germanene reveals distinct behaviors arising from their different intrinsic spin\u2013orbit couplings, with germanene exhibiting larger energy gaps and peaks at higher Fermi energies. Importantly, our finite temperature formulation demonstrates that, in the presence of a perpendicular magnetic field, magneto-quantum capacitance exhibits remarkable thermal robustness, establishing the finite-temperature validity regime of zero temperature magneto-quantum capacitance theories. These results provide a physically grounded framework for interpreting capacitance measurements in buckled Dirac materials under realistic experimental conditions.\n                  <\/jats:p>","DOI":"10.1088\/1361-648x\/ae4a67","type":"journal-article","created":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T22:52:44Z","timestamp":1772059964000},"page":"105701","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Concurrent influence of magnetic field and temperature on the quantum capacitance of silicene and germanene"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9152-3840","authenticated-orcid":true,"given":"Do","family":"Muoi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"266","published-online":{"date-parts":[[2026,3,10]]},"reference":[{"key":"cmae4a67bib1","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1134\/S1063776124601022","type":"journal-article","volume":"138","author":"Muoi","year":"2024","journal-title":"J. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2025-10-10","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-02-25","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-03-10","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}