Trions in coupled quantum wells and Wigner crystallization
We consider a restricted three body problem, where two interacted particles are located in two dimensional (2D) plane and interact with the third one located in the parallel spatially separated plane. The system of such type can be formed in the semiconductor coupled quantum wells, where the electro...
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| creator | Berman, Oleg L Kezerashvili, Roman Ya Tsiklauri, Shalva M |
| description | We consider a restricted three body problem, where two interacted particles
are located in two dimensional (2D) plane and interact with the third one
located in the parallel spatially separated plane. The system of such type can
be formed in the semiconductor coupled quantum wells, where the electrons (or
holes) and direct excitons spatially separated in different parallel
neighboring quantum wells that are sufficiently close to interact and form
negative X- or positive X+ indirect trions. It is shown that at large interwell
separations, when the interwell separation much greater than the exciton Bohr
radius, this problem can be solved analytically using the cluster approach.
Analytical results for the energy spectrum and the wave functions of the
spatially indirect trion are obtained, their dependence on the interwell
separations is analyzed and a conditional probability distribution is
calculated. The formation of 2D Wigner crystal of trions at the low densities
is predicted. It is shown that the critical density of the formation of the
trion Wigner crystal is sufficiently greater than the critical density of the
electron Wigner crystal. |
| doi_str_mv | 10.48550/arxiv.1111.5307 |
| format | Article |
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are located in two dimensional (2D) plane and interact with the third one
located in the parallel spatially separated plane. The system of such type can
be formed in the semiconductor coupled quantum wells, where the electrons (or
holes) and direct excitons spatially separated in different parallel
neighboring quantum wells that are sufficiently close to interact and form
negative X- or positive X+ indirect trions. It is shown that at large interwell
separations, when the interwell separation much greater than the exciton Bohr
radius, this problem can be solved analytically using the cluster approach.
Analytical results for the energy spectrum and the wave functions of the
spatially indirect trion are obtained, their dependence on the interwell
separations is analyzed and a conditional probability distribution is
calculated. The formation of 2D Wigner crystal of trions at the low densities
is predicted. It is shown that the critical density of the formation of the
trion Wigner crystal is sufficiently greater than the critical density of the
electron Wigner crystal.</description><identifier>DOI: 10.48550/arxiv.1111.5307</identifier><language>eng</language><subject>Physics - Mesoscale and Nanoscale Physics</subject><creationdate>2011-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1111.5307$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1111.5307$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Berman, Oleg L</creatorcontrib><creatorcontrib>Kezerashvili, Roman Ya</creatorcontrib><creatorcontrib>Tsiklauri, Shalva M</creatorcontrib><title>Trions in coupled quantum wells and Wigner crystallization</title><description>We consider a restricted three body problem, where two interacted particles
are located in two dimensional (2D) plane and interact with the third one
located in the parallel spatially separated plane. The system of such type can
be formed in the semiconductor coupled quantum wells, where the electrons (or
holes) and direct excitons spatially separated in different parallel
neighboring quantum wells that are sufficiently close to interact and form
negative X- or positive X+ indirect trions. It is shown that at large interwell
separations, when the interwell separation much greater than the exciton Bohr
radius, this problem can be solved analytically using the cluster approach.
Analytical results for the energy spectrum and the wave functions of the
spatially indirect trion are obtained, their dependence on the interwell
separations is analyzed and a conditional probability distribution is
calculated. The formation of 2D Wigner crystal of trions at the low densities
is predicted. It is shown that the critical density of the formation of the
trion Wigner crystal is sufficiently greater than the critical density of the
electron Wigner crystal.</description><subject>Physics - Mesoscale and Nanoscale Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjz9PwzAUxL0woMLOhPwFEvz8_JyoG6r4J1ViicQYPSdOZcl1i5MA5dOTAjfcTXe6nxA3oEpTE6k7zl_ho4RFJaGqLsW6yeGQRhmS7A7zMfpevs-cpnkvP32Mo-TUy7ewSz7LLp_GiWMM3zwtpStxMXAc_fV_rkTz-NBsnovt69PL5n5bsKWqMMYA1ODRIhPWoI0jA065nmrS6Khi7bS3ixmFHnjoO-uRu4G1tQZwJW7_Zn-_t8cc9pxP7ZmhPTPgD8i_QOs</recordid><startdate>20111120</startdate><enddate>20111120</enddate><creator>Berman, Oleg L</creator><creator>Kezerashvili, Roman Ya</creator><creator>Tsiklauri, Shalva M</creator><scope>GOX</scope></search><sort><creationdate>20111120</creationdate><title>Trions in coupled quantum wells and Wigner crystallization</title><author>Berman, Oleg L ; Kezerashvili, Roman Ya ; Tsiklauri, Shalva M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a657-4441181e363a538124b541b0bd58523b57a2b2e62b2403e1afdc6e3acfa266413</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Physics - Mesoscale and Nanoscale Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Berman, Oleg L</creatorcontrib><creatorcontrib>Kezerashvili, Roman Ya</creatorcontrib><creatorcontrib>Tsiklauri, Shalva M</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Berman, Oleg L</au><au>Kezerashvili, Roman Ya</au><au>Tsiklauri, Shalva M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Trions in coupled quantum wells and Wigner crystallization</atitle><date>2011-11-20</date><risdate>2011</risdate><abstract>We consider a restricted three body problem, where two interacted particles
are located in two dimensional (2D) plane and interact with the third one
located in the parallel spatially separated plane. The system of such type can
be formed in the semiconductor coupled quantum wells, where the electrons (or
holes) and direct excitons spatially separated in different parallel
neighboring quantum wells that are sufficiently close to interact and form
negative X- or positive X+ indirect trions. It is shown that at large interwell
separations, when the interwell separation much greater than the exciton Bohr
radius, this problem can be solved analytically using the cluster approach.
Analytical results for the energy spectrum and the wave functions of the
spatially indirect trion are obtained, their dependence on the interwell
separations is analyzed and a conditional probability distribution is
calculated. The formation of 2D Wigner crystal of trions at the low densities
is predicted. It is shown that the critical density of the formation of the
trion Wigner crystal is sufficiently greater than the critical density of the
electron Wigner crystal.</abstract><doi>10.48550/arxiv.1111.5307</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Mesoscale and Nanoscale Physics |
| title | Trions in coupled quantum wells and Wigner crystallization |
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