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[{"key": "dc.contributor.advisor", "value": "Heikkil\u00e4, Tero", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Moisala, Terhi", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2015-09-08T06:31:46Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2015-09-08T06:31:46Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2015", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1494778", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/46789", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Tutustun Pro Gradu -ty\u00f6ss\u00e4ni topologisiin materiaaleihin ja perehdyn grafeenin\nsek\u00e4 romboedrisen grafiitin ominaisuuksiin t\u00e4st\u00e4 n\u00e4k\u00f6kulmasta. Erityisesti tutkin\ngrafeenin alihilasymmetrian rikkoutumisen vaikutuksia grafiitissa lis\u00e4\u00e4m\u00e4ll\u00e4\nheilahtelevan potentiaalin \u03b1 grafeenin tight-binding -malliin. Lasken romboedrisen\ngrafiitin matalaenergiatilat tight-binding -mallista ja saan tulokseksi, ett\u00e4 \u03b1 avaa\nenergia-aukon, mutta s\u00e4ilytt\u00e4\u00e4 vy\u00f6n tasomaisen muodon, joka on saatu artikkelissa\n[16].\nTutkin ty\u00f6ss\u00e4ni my\u00f6s heilahtelevan potentiaalin vaikutusta romboedrisen\ngrafiitin suprajohtaviin pintatiloihin. P\u00e4\u00e4tulokseni on, ett\u00e4 heilahteleva potentiaali\nrikkoo grafiitin pintojen v\u00e4lisen symmetrian ja tuottaa n\u00e4ille eri j\u00e4rjestysparametrit,\nkun systeemill\u00e4 on \u00e4\u00e4rellinen kemiallinen potentiaali. Muuttamalla\nkemiallista potentiaalia ep\u00e4symmetriaa voidaan kasvattaa niin, ett\u00e4 suprajohtavuutta\nesiintyy vain toisella pinnalla. Saan lis\u00e4ksi numeerisesta analyysist\u00e4\nep\u00e4symmetriset ratkaisut my\u00f6s silloin, kun kemiallista potentiaalia ei ole, mit\u00e4\nei voida selitt\u00e4\u00e4 t\u00e4m\u00e4n mallin avulla. Kyseess\u00e4 saattaa olla metastabiili tila tai\nt\u00e4ysin numeerinen ongelma, jonka analyysin j\u00e4t\u00e4n my\u00f6hempiin tutkimuksiin.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this thesis I study the symmetries and topological properties of graphene\nand rhombohedral graphite. To break the sublattice symmetry of graphene I\nadd a staggering potential \u03b1 to the model. I study the effect of \u03b1 in graphite by\ncalculating the low energy dispersion relations in the bulk and on the surfaces. I\nget as a result that \u03b1 opens up a gap to the surface states of graphite, but retains\nthe form of a flat band obtained in [16].\nI also study the superconducting surface states of rhombohedral graphite in\nthe presence of a staggering potential. I get that the staggering potential breaks\nthe symmetry between the surface layers and produces different order parameters\nfor the two surfaces in the presence of non-zero chemical potential. The\nasymmetry can be tuned with suitable doping such that the superconductivity\noccurs only on the other surface. I also obtain a peculiar asymmetry in the numerical\nsolutions for the order parameters even for zero doping, that cannot be\nexplained by the theory. This may be a metastable state or a numerical issue,\nthat should be analysed in detail in future studies.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Terhi Moisala (tekamois) on 2015-09-08 06:31:46.061701. Form: Pro gradu -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija.group@korppi.jyu.fi) on 2015-09-08T06:31:46Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201509082834.pdf: 930227 bytes, checksum: 19a03f000d8e4c2a730734e6826be43b (MD5)\nlicense.html: 4852 bytes, checksum: e29eaad55867176884be0b7b9636b306 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2015-09-08T06:31:46Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201509082834.pdf: 930227 bytes, checksum: 19a03f000d8e4c2a730734e6826be43b (MD5)\nlicense.html: 4852 bytes, checksum: e29eaad55867176884be0b7b9636b306 (MD5)\n Previous issue date: 2015", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (67 sivua)", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "superconductivity", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "graphene", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "graphite", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "flat bands", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "topological materials", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Topological properties of mono- and multilayer graphene, flat bands and surface superconductivity", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201509082834", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": 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