<p>The band structure, orbital contributions to the spectral weight of the states at the top of the valence band, and the type of band gap in a CuO monolayer are investigated for different values of the hopping integrals and the Coulomb interactions on copper, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(U'_d\)</EquationSource> </InlineEquation>, and oxygen, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(U'_p\)</EquationSource> </InlineEquation>. The electronic structure of quasiparticle excitations is calculated using an eight-band <i>p</i>–<i>d</i> model that includes all Cu 3<i>d</i> and O 2<i>p</i> orbitals, together with the generalized tight-binding method and the the equations of motion method for Green’s functions of Hubbard operators within the multiband Hubbard model. The energy spectrum of local states and dispersionless quasiparticle excitations is obtained. The ratio <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({{U'_d}}/ {{U'_p}}\)</EquationSource> </InlineEquation> determines both the magnitude and the type of the band gap. Depending on this ratio, Mott–Hubbard (MH), charge-transfer (CT), or interorbital band gap can arise. When <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(U'_d\)</EquationSource> </InlineEquation> dominates over <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(U'_p\)</EquationSource> </InlineEquation>, the system is insulating, with a band gap opening between <i>d</i>-orbitals. A metallic state can be realized only when <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(U'_p\)</EquationSource> </InlineEquation> exceeds <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(U'_d\)</EquationSource> </InlineEquation>. The metal–insulator transition driven by increasing hopping integrals is possible only for <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(U'_d &lt; 1.5U'_p\)</EquationSource> </InlineEquation>.</p>

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Dependence of the Band Gap in CuO monolayer on Coulomb Interactions and Magnitude of the Hopping Integrals

  • Ilya Makarov,
  • Igor Nekrasov,
  • Maxim Korshunov

摘要

The band structure, orbital contributions to the spectral weight of the states at the top of the valence band, and the type of band gap in a CuO monolayer are investigated for different values of the hopping integrals and the Coulomb interactions on copper, \(U'_d\) , and oxygen, \(U'_p\) . The electronic structure of quasiparticle excitations is calculated using an eight-band pd model that includes all Cu 3d and O 2p orbitals, together with the generalized tight-binding method and the the equations of motion method for Green’s functions of Hubbard operators within the multiband Hubbard model. The energy spectrum of local states and dispersionless quasiparticle excitations is obtained. The ratio \({{U'_d}}/ {{U'_p}}\) determines both the magnitude and the type of the band gap. Depending on this ratio, Mott–Hubbard (MH), charge-transfer (CT), or interorbital band gap can arise. When \(U'_d\) dominates over \(U'_p\) , the system is insulating, with a band gap opening between d-orbitals. A metallic state can be realized only when \(U'_p\) exceeds \(U'_d\) . The metal–insulator transition driven by increasing hopping integrals is possible only for \(U'_d < 1.5U'_p\) .