Silne korelované elektrónové a spinové systémy

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1 Silne korelované elektrónové a spinové systémy Akreditačný seminár P. Farkašovský, H. Čenčariková, J. Jurečková Ústav experimentálnej fyziky SAV, Košice

2 Kolektív Kolektív: (1%) Hana Čenčariková (1%) Jana Jurečková (7%) APVV grant ( )

3 Výskumné témy Výskumné témy: Valenčné prechody (P. Farkašovský, H. Čenčariková) Prechody kov izolátor (P. Farkašovský, H. Čenčariková) Itinerantný magnetizmus (P. Farkašovský) Elektrónový feroelektrický jav (P. Farkašovský, J. Jurečková) Koexistencia nábojového a spinového usporiadania ((P. Farkašovský, H. Čenčariková)) Fyzika exaktne riešitel ných mriežkovo-štatistických modelov (H. Čenčariková) DFT pre korelované systémy (H. Čenčariková)

4 Granty APVV: VEGA: APVV Kolektívne javy vo viazaných elektrónových a spinových systémoch 2/1/213-3/9/217, zodpovedný riešitel : SK-CZ Magnetické a magnetooptické vlastnosti vybraných manganitov, riešitel : Hana Čenčariková VEGA 2/175/1 Štúdium korelačných efektov v silne interagujúcich sústavach fermiónov, , zodpovedný riešitel : VEGA 2/73/13 Teoretické štúdium kooperatívnych javov v silne korelovaných elektrónových a spinových systémoch, , zodpovedný riešitel : VEGA 1/43/16 Magnetoelektrický a magnetokalorický jav v exaktne riešitel ných mriežkovo-štatistických modeloch, zodpovedný riešitel za UEF: Hana Čenčariková

5 CC Publikácie Rok 215: [1] P. Farkašovský, The influence of the interband Coulomb interaction and the f-electron hopping on excitonic correlations in the extended Falicov-Kimball model, Europhysics Letters, 11, 477 (215), IF [2] H. Čenčariková, P. Farkašovský, Fractional magnetization plateaus in the extended Ising model on the Shastry-Sutherland lattice: Application to rare-earth metal tetraborides, Physica Status Solidi B 252, 333 (215), IF [3] P. Farkašovský, J. Jurećková, Effects of correlated hopping on electronic ferroelectricity in the extended Falicov-Kimball model in two dimensions, Condensed Matter Physics 18, 3374 (215), IF.748. [4] J. Strečka, H. Čenčariková, M. Lyra, Phase diagrams and anomalous thermodynamic behavior of a correlated spin-electron system on doubly decorated planar lattices, Physics Letters A 379, 2915 (215), IF 1.68.

6 CC Publikácie Rok 214: [1] P. Farkašovský, Ferromagnetism in the one-dimensional Hubbard model with long- range electron hopping and long-range Coulomb interaction, Europhysics Letters, 17, 771 (214), IF [2] P. Farkašovský, H. Čenčariková, The influence of f-electron hopping on ground states and valence transitions in the extended Falicov-Kimball model, Eur. Phys. J. B 87, 29 (214), IF [3] H. Čenčariková, P. Farkašovský, Phase Transitions in a Coupled Electron and Spin Model on the Shastry-Sutherland Lattice, Acta Physica Polonica A 126, 44 (214), IF.61. [4] M. Gmitra, H. Čenčariková, P. Farkašovský, First-principles study of Kondo insulator SmB6, Acta Physica Polonica A 126, 288 (214), IF.61. [5] H. Čenčariková, P. Farkašovský, P. Puchala, Ground-State Phase Diagram of the Extended Ising Model on the Shastry-Sutherland Lattice, Acta Physica Polonica A 126, 46 (214), IF.61.

7 CC Publikácie Rok 213: [1] P. Farkašovský, H. Čenčariková, Ferromagnetism in the two-dimensional Hubbard model with long-range hopping, Central European Journal of Physics 11, 119 (213), IF 1.8. Rok 212: [1] P. Farkašovský, Ferromagnetism in the asymmetric Hubbard model, Eur. Phys. J. B 85, 253 (212), IF Monografie: [1] P. Farkašovský, H. Čenčariková, Cooperative Phenomena in Strongly Correlated Systems, Lambert Academic Publishing. [2] P. Farkašovský, H. Čenčariková, Analytické a numerické metódy v teórii silne korelovaných elektrónových systémov, učebny text, UEF Košice (213). [3] P. Farkašovský, DrSc práca.

8 Citácie, pozvané prednášky... Citácie Rok 211: Rok 212: Rok 213: Rok 214: 21 WOS citácií 19 WOS citácií 17 WOS citácií 23 WOS citácií 214 R=211 : 8 WOS citácií Pozvané prednášky: 1 Diplomanti: 1

9 Najdôležitejšie výsledky P. Farkašovský, Europhysics Letters, 11, 477 (215). BEC excitónov Distribučná funkcia excitónov N(q) = b q + b q, kde b q + = (1/ L) k d+ k+q f k. N(q) V=.8 V=.1 V=.12 V=.14 V=.16 V=.18 V=.2 1/N(q=) L=6, E f =, t f =, U= q/π a) V=.1 V=.12 V= /L n U=1 U=4 U=8 V=.2, E f =, t f = n T /L /L b) U=1 U=4 U=8

10 Čo d alej? Posun k fyzike reálnych materiálov: Modelovanie, DFT Dvojpásový Hubbardov model: H = ijσ t d ij d+ iσ d jσ + U dd i n d i nd i + tijf f + iσ f jσ + U ff ni n f i f ijσ i + U fd ni f ni d + J (f + i σ f i σ f + iσ f iσ)d + iσ d iσ i iσ Štúdium koexistujúcich fáz koexistencia nábojového a spinového usporiadania koexistencia nábojového/spinového usporiadania a supravodivosti koexistencia feromagnetického a feroelektrického stavu

11 Čo d alej? Koexistencia nábojového usporiadania a supravodivosti C v d -vertex korelačná funkcia d-wave párovania U=.5,1,2 U=3 8.3 n f =1/4,n d =1/4.1 n f =1/4,n d =1/2 a).2.8 U=.5,1 U=2,3 U=4 U=5 8 C v d.1 C v d.6.4 b) U=.5,1 U=2 U=3 U=4 8 U fd n f =1/2,n d =1/4 U fd n f =1/2,n d =1/2 c).1.6 U=.5,1 U=2,3,4 U=5,6,7 U=8 C v d.5 C v d.4 d) U fd U fd

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