Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab
The screened Coulomb potential plays a crucial role in the binding energies of excitons in a thin dielectric slab. The asymptotic behavior of this potential is studied when the thickness of the slab is very small as compared to the exciton Bohr radius. A regularized expression is given and the exact...
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| Veröffentlicht in: | Annalen der Physik 2019-06, Vol.531 (6), p.n/a |
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| creator | Felbacq, Didier Rousseau, Emmanuel |
| description | The screened Coulomb potential plays a crucial role in the binding energies of excitons in a thin dielectric slab. The asymptotic behavior of this potential is studied when the thickness of the slab is very small as compared to the exciton Bohr radius. A regularized expression is given and the exact effective 2D potential is derived. These expressions may be useful for the computation of the exciton binding energy in 2D or quasi‐2D materials.
The Coulomb interaction between a hole and an electron in a thin dielectric slab is computed rigorously by means of a multiple scale expansion. In the 2D limit where the width of the slab is very small with respect to Bohr radius, the effective Hamiltonian is derived. Numerical results for the binding energy of excitons are given for h‐BN and MoS2. |
| doi_str_mv | 10.1002/andp.201800486 |
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The Coulomb interaction between a hole and an electron in a thin dielectric slab is computed rigorously by means of a multiple scale expansion. In the 2D limit where the width of the slab is very small with respect to Bohr radius, the effective Hamiltonian is derived. Numerical results for the binding energy of excitons are given for h‐BN and MoS2.</description><identifier>ISSN: 0003-3804</identifier><identifier>EISSN: 1521-3889</identifier><identifier>DOI: 10.1002/andp.201800486</identifier><language>eng</language><publisher>Weinheim: Wiley Subscription Services, Inc</publisher><subject>2D materials ; asymptotic analysis ; Asymptotic properties ; Binding energy ; Condensed Matter ; Coulomb potential ; Excitons ; Materials Science ; Mechanics ; Physics ; Thermics ; Two dimensional materials</subject><ispartof>Annalen der Physik, 2019-06, Vol.531 (6), p.n/a</ispartof><rights>2019 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3916-e2b1da9df610290bbd2e20be6dd64085e7f6393887cffac9ae15c1080d846a3b3</citedby><cites>FETCH-LOGICAL-c3916-e2b1da9df610290bbd2e20be6dd64085e7f6393887cffac9ae15c1080d846a3b3</cites><orcidid>0000-0002-7972-1761 ; 0000-0003-3079-9055</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fandp.201800486$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fandp.201800486$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,780,784,885,1416,27922,27923,45572,45573</link.rule.ids><backlink>$$Uhttps://hal.science/hal-02302374$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Felbacq, Didier</creatorcontrib><creatorcontrib>Rousseau, Emmanuel</creatorcontrib><title>Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab</title><title>Annalen der Physik</title><description>The screened Coulomb potential plays a crucial role in the binding energies of excitons in a thin dielectric slab. The asymptotic behavior of this potential is studied when the thickness of the slab is very small as compared to the exciton Bohr radius. A regularized expression is given and the exact effective 2D potential is derived. These expressions may be useful for the computation of the exciton binding energy in 2D or quasi‐2D materials.
The Coulomb interaction between a hole and an electron in a thin dielectric slab is computed rigorously by means of a multiple scale expansion. In the 2D limit where the width of the slab is very small with respect to Bohr radius, the effective Hamiltonian is derived. Numerical results for the binding energy of excitons are given for h‐BN and MoS2.</description><subject>2D materials</subject><subject>asymptotic analysis</subject><subject>Asymptotic properties</subject><subject>Binding energy</subject><subject>Condensed Matter</subject><subject>Coulomb potential</subject><subject>Excitons</subject><subject>Materials Science</subject><subject>Mechanics</subject><subject>Physics</subject><subject>Thermics</subject><subject>Two dimensional materials</subject><issn>0003-3804</issn><issn>1521-3889</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqFkMFLwzAUxoMoOOaungOePHS-JG3XHMs2nTB0uHnyENImdR1dU9tU6X9vamUehQfvJfy-j_c-hK4JTAkAvZOlqqYUSATgR-EZGpGAEo9FET9HIwBgbgb_Ek2a5uCeEAAF6o_Q20v-bmrTNjhuumNljc1TvLWt6rDJsN1rvE1rrUut8LLQqa1NY2XPbIzVpc1lgfMSS7zbu7bI9Q_TWxQyuUIXmSwaPfntY_R6v9zNV976-eFxHq-9lHESepomREmuspAA5ZAkimoKiQ6VCn2IAj3LQsbdKbM0y2TKpSZBSiACFfmhZAkbo9vBdy8LUdX5UdadMDIXq3gt-j-gzNXM_ySOvRnYqjYfrW6sOJi2Lt16glLGQ0p91lPTgUrdvU2ts5MtAdHnLfq8xSlvJ-CD4CsvdPcPLeKnxeZP-w0Y7INN</recordid><startdate>201906</startdate><enddate>201906</enddate><creator>Felbacq, Didier</creator><creator>Rousseau, Emmanuel</creator><general>Wiley Subscription Services, Inc</general><general>Wiley</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0002-7972-1761</orcidid><orcidid>https://orcid.org/0000-0003-3079-9055</orcidid></search><sort><creationdate>201906</creationdate><title>Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab</title><author>Felbacq, Didier ; Rousseau, Emmanuel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3916-e2b1da9df610290bbd2e20be6dd64085e7f6393887cffac9ae15c1080d846a3b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>2D materials</topic><topic>asymptotic analysis</topic><topic>Asymptotic properties</topic><topic>Binding energy</topic><topic>Condensed Matter</topic><topic>Coulomb potential</topic><topic>Excitons</topic><topic>Materials Science</topic><topic>Mechanics</topic><topic>Physics</topic><topic>Thermics</topic><topic>Two dimensional materials</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Felbacq, Didier</creatorcontrib><creatorcontrib>Rousseau, Emmanuel</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Annalen der Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Felbacq, Didier</au><au>Rousseau, Emmanuel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab</atitle><jtitle>Annalen der Physik</jtitle><date>2019-06</date><risdate>2019</risdate><volume>531</volume><issue>6</issue><epage>n/a</epage><issn>0003-3804</issn><eissn>1521-3889</eissn><abstract>The screened Coulomb potential plays a crucial role in the binding energies of excitons in a thin dielectric slab. The asymptotic behavior of this potential is studied when the thickness of the slab is very small as compared to the exciton Bohr radius. A regularized expression is given and the exact effective 2D potential is derived. These expressions may be useful for the computation of the exciton binding energy in 2D or quasi‐2D materials.
The Coulomb interaction between a hole and an electron in a thin dielectric slab is computed rigorously by means of a multiple scale expansion. In the 2D limit where the width of the slab is very small with respect to Bohr radius, the effective Hamiltonian is derived. Numerical results for the binding energy of excitons are given for h‐BN and MoS2.</abstract><cop>Weinheim</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/andp.201800486</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0002-7972-1761</orcidid><orcidid>https://orcid.org/0000-0003-3079-9055</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | 2D materials asymptotic analysis Asymptotic properties Binding energy Condensed Matter Coulomb potential Excitons Materials Science Mechanics Physics Thermics Two dimensional materials |
| title | Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab |
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