2015
DOI: 10.1103/physrevb.92.085102
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Wannier function approach to realistic Coulomb interactions in layered materials and heterostructures

Abstract: We introduce an approach to derive realistic Coulomb interaction terms in free standing layered materials and vertical heterostructures from ab-initio modelling of the corresponding bulk materials. To this end, we establish a combination of calculations within the framework of the constrained random phase approximation, Wannier function representation of Coulomb matrix elements within some low energy Hilbert space and continuum medium electrostatics, which we call Wannier function continuum electrostatics (WFC… Show more

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Cited by 73 publications
(107 citation statements)
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References 44 publications
(43 reference statements)
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“…This conclusion should be generally applicable also to other superconducting 2d materials such as NbSe 2 9 and particularly the electron doped TMDCs like WS 2 or MoSe 2 10,11 because of their similar electronic and phononic structure. (WFCE) 33 to include the screening effects of substrates, as described in the following. The bare interaction matrix U αβ (q) in the orbital basis α, β ∈ {d z 2 , d xy , d x 2 y 2 } of the Mo atoms is obtained for the freestanding undoped material via RPA calculations using the Spex and Fleur software codes 31,32 .…”
Section: Discussionmentioning
confidence: 99%
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“…This conclusion should be generally applicable also to other superconducting 2d materials such as NbSe 2 9 and particularly the electron doped TMDCs like WS 2 or MoSe 2 10,11 because of their similar electronic and phononic structure. (WFCE) 33 to include the screening effects of substrates, as described in the following. The bare interaction matrix U αβ (q) in the orbital basis α, β ∈ {d z 2 , d xy , d x 2 y 2 } of the Mo atoms is obtained for the freestanding undoped material via RPA calculations using the Spex and Fleur software codes 31,32 .…”
Section: Discussionmentioning
confidence: 99%
“…µ * = 0.13 24,33,38 , is not sufficient in the case of electron doped MoS 2 to describe the influence of the Coulomb interaction directly at the transition to the superconducting phase. However, the drop in the critical temperature of TMDCs 6,7,9,16,18 when going from the bulk or multilayer-system to a monolayer cannot be caused by enhanced Coulomb interactions, because the values of the electron-phonon coupling are much larger than the µ * ≈ 0.13, which we find in the region of optimal doping independently of the dielectric environment of the MoS 2 monolayer.…”
Section: Electron-phonon Coupling Driven Superconductivitymentioning
confidence: 99%
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“…We have obtained the quasiparticle band structure and Coulomb matrix elements of monolayer WS 2 by first-principle GoWo calculations. Screening from the substrate is additionally incorporated in the Coulomb matrix elements [132]. The exciton shift due to the excited carriers is calculated with microscopic semiconductor Bloch equations in a screened-exchange Coulomb-hole approximation (SXCH) -see Section 7.7.1.…”
Section: At Low Density: Plasma Contributionmentioning
confidence: 99%