Coulomb Interaction and Excitons in a Superlattice

Abstract

An exact expression is found for the potential of a point charge in a periodic layered system, consisting of alternating layers with two different values of the dielectric constant. The most interesting limiting cases for this potential are considered. Energy spectrum, bound energy, and the ground stat,e radius of the exciton, which is formed by an electron and a hole, belonging t o the same layer of the superlattice, are found.Hai3neHo TosHoe mipameme noTeHqMana, coanaaae~oro TosewmM a a p~n o~ 3 nepnonasecrcoii CJIOHCTOB CHcTeMe, cocTomqeFi t13 .repeAyIoqMxcH cnoeB c HBYMR p a 3 n m u~b 1~~ 3Ha'XeHMIRMH nE13JIeIETpIl~eCIEOii IlPOHHUaeMOCTH. PaCCMOTpeHbI ~a~l 6 o n e e HHTepeCHbIe IIpeneJIbHbIe CJlysaM. HaiineHbr ClIeKTp, 3HeprliFI CBH3M M panMyC OCHOBHOrO COCTOFIHLlFI 3KCMTOHB, 06pa303aHHOrO 3JIeHTpOHOM M AbIpHOfi E13 O n H O r O EI T O r O ZfEe CJIOFI CBepXpeIIXeTKIl.

Plasma modes in layered superconductors

“…Due to that, for our purpose of finding the dependence of the plasmon frequency on the thicknesses of conducting and dielectric layers, dielectric constants e and e 1 presented here can be considered as effective dielectric contants of layers. In our opinion, introducing more realistic function for the change of dielectric constant (different from square-well-like changing, which was used in [19]), will change our results unconsiderably. Similar questions was discussed by [21,22] many years ago in relation with exitonic superconductivity in ''sandwich'' structures.…”

“…To calculate plasmon spectrum, we use the expression for the bare Coulomb interaction V(q, q z ) [19] of charged particles in a periodic layered system, consisting of alternating layers with different values of dielectric constant in the large wavelength approximation: …”

Comparative study of the exciton binding energies of thin and ultrathin organic-inorganic perovskites due to dielectric mismatch effects

“…46 To study the exciton state, we firstly have to evaluate the single electron (hole) confinement energy along Oz direction. It can be calculated through the Schrodinger equation for motion perpendicular to theperovskite layers, which corresponds to the one-electron( one-hole) self-image potential U e,h (z e(h) ).…”

Study of layered superconductors in the theory of an electron - phonon coupling mechanism

“…¥Îâ ÄÞÚËÔÎÇÐËâ m ÏÞ ËÔÒÑÎßÊÖÇÏ ÄÞÓÂÉÇÐËÇ AEÎâ "ÅÑÎÑÅÑ" ÍÖÎÑÐÑÄÔÍÑÅÑ ÒÑÕÇÐÙËÂΠVkY k z , ÒÇÓÇÒËÔÂÐ-ÐÑÇ AEÎâ ÔÄÇÓØÓÇÛÈÕÍË Ô ÓÂÊÎËÚÐÞÏË AEËàÎÇÍÕÓËÚÇÔÍËÏË ÒÑÔÕÑâÐÐÞÏË.´ÂÍÑÌ ÒÑÕÇÐÙËÂÎ ÒÑÎÖÚÇÐ Ä ÓÂÃÑÕÇ [49]:…”