Mikrokontaktová spektroskopia silne korelovaných elektrónových systémov

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1 Mikrokontaktová spektroskopia silne korelovaných elektrónových systémov Gabriel PRISTÁŠ Školiteľ: Marián REIFFERS Ústav exerimentálnej fyziky, OFNT, SAV, Košice 1. Prehľad činností v r Silne korelované systémy 3. Intermetalická zlúčenina YbCu 5-x (x = 1.3, 1.4, 1.5, 1.6 a 1.75) 4. Záver

2 Prehľad činností v r Pracovné pobyty máj 2006; realizácia experimentu: Recovery of Fermi-liquid ground state in point-contacts of non-fermi-liquid normal metal by an application of high magnetic fields. Grenoble High Magnetic Field Laboratory, Francúzsko jún 2006; JEMS'06, San Sebastian, Španielsko, Posterový príspevok: The point-contact spectroscopy of DyMn 6 Ge 6 and DyFe 6 Ge 6, Journal of Magnetism and Magnetic Materials, In Press august 2006; ICM'06, Kyoto, Posterový príspevok: The pointcontact spectroscopy of hexagonal DyGe6Fe3Mn3; Journal of Magnetism and Magnetic Materials

3 Prehľad činností v r Fukuoka, Novel Pressure-induced Phenomena in Condensed Matter Systems; Pressure and field effects on spin fluctuations in Ce 0.8 RE 0.2 Ni 5 (RE = Pr, Nd), Journal of the Physical Society of Japan, Suppl. september 2006, 15. KSF, Stará lesná, prednáška september 2006, Cryoschool, Holandsko november 2006, realizácia experimentu: Recovery of Fermiliquid ground state in homo point-contacts of non-fermi-liquid non-fermi-liquid by an application of high magnetic fields. Grenoble High Magnetic Field Laboratory, Francúzsko november 2006, pobyt na Fyzikálnom ústave AVČR v Prahe v rámci MAD, prednáška, konzultácie J. Rusz, Zhotovenie vzorky YbRh 2 Si 2 (silne korelovaný systém)

4 Prehľad činností v r Publikačná činnosť Gabriel Pristáš, Zbigniew Śniadecki, Peter Kerschl, Marian Reiffers, Bogdan Idzikowski, Ulrich K. Rößler and Karl-Hartmut Müller; The point-contact spectroscopy of DyMn 6 Ge 6 and DyFe 6 Ge 6 Journal of Magnetism and Magnetic Materials, In Press, Corrected Proof, Available online 3 March 2007 Gabriel Pristáš, Zbigniew Śniadecki, Peter Kerschl, Marian Reiffers, Bogdan Idzikowski, Ulrich K. Rößler and Karl-Hartmut Müller The point-contact spectroscopy of hexagonal DyGe 6 Fe 3 Mn 3 compound Journal of Magnetism and Magnetic Materials, Volume 310, Issue 2, Part 2, March 2007, Pages Gabriel Pristáš, Marián Reiffers and Ernst Bauer; Point-contact properties of non-fermi liquid compounds YbCu 5 x (x=1.3,1.4 and 1.6) in the vicinity of QCP Physica B: Condensed Matter, Volumes , 1 May 2006, Pages Marián Reiffers, Bogdan Idzikowski, Josef Šebek, Eva Šantavá, Sergej Ilkovič and Gabriel Pristáš; Electrical resistivity, susceptibility and heat capacity of cubic Kondo compound YbCu 5 prepared by melt-spinning technique Physica B: Condensed Matter, Volumes , 1 May 2006, Pages citácie

5 Silne korelované elektrónové systémy silná interakcia medzi elektrónmi, veľká efektívna hmotnosť v modely kvázičastíc objav neočakávaných vlastností fáza typu nie-fermiho kvapaliny, objav supravodivosti v prítomnosti feromagnetických fluktuácií, supravodivosť s chýbajúcim centrom inverzie, ťažké fermióny sa možu rozdeliť na zložku nesúcu elektrický prúd a zložku nesúcu magnetické stupne voľnosti Mikrokontaktová spektroskopia aplikovaná na silne korelované elektrónové systémy NFL zlúčenina YbCu 5-x (x = ), NFL správanie CeNi 1-x Cu x, silne korelovaná zliatina, spinové klastre YbRh 2 Si 2, NFL správanie indukované magnetickým poľom

6 Intermetalická zlúčenina YbCu 5-x Cu/Al substitúcia v YbCu 5 prechod z nemagnetického stavu 4f 14 do magnetického stavu 4f 13 v YbCu 3 Al 2 objavenie sa NFL správania v blízkosti kritickej koncentrácie x = 1.5, kvantový kritický bod C p ~ -lnt ; odchylka od T 2 závislosti rezistivity základná charakterizácia vzoriek, Viedeň, prof. Ernst Bauer X ray difrakcia, rezistivita, tepelná kapacita, susceptibilita

7 Intermetalická zlúčenina YbCu 5-x Mikrokontaktová spektroskopia l el, l in >> d Sharvin R S = 4<ρl>/3πd 2 (ballistic) Maxwell R M = ρ/2d (thermal) Wexler interpolation formula R PC (T) 4ρl/3πd 2 + ρ(t)/2d dv/di, d 2 V/dI 2

8 Intermetalická zlúčenina YbCu 5-x Reproducible asymmetric behaviour Maximum at 1.3 mv Changes less than 10 % Characteristic temperature behaviour of dv/di(v) PC dependences (R PC = 1.5 Ω). The dv/di(v) dependences are shifted for clarity. [M. Reiffers et al., JMMM, 2004]

9 Results Heavy fermion compounds Asymmetry of dv/di Changes more than 100 % Anomalies in both polarities on the same position Thermal regime - dv/di(v) is similar to ρ(t) Scaling factor between V and T ~ Lorenz function Maximum in dv/di(v) expected to shift with temperature to smaller voltages ρ(t) of bulk YbCu 3.5 Al 1.5 exhibits a maximum around 4 K Sign of the spectroscopic character of PCS

10 Results 0,49 dv/di(v) [a. u.] 0,47 0,585 0,46 0,45 YbCu3,6Al1,4 - Cu RPC = 3 Ω T = 1,5 K 0,580 0,575 0,570 0,565 0,44 0, T 2T 4T 6T 0,590 dv/di(v) [a. u.] 0,48 YbCu3,7Al1,3 - Pt RPC = 1,2 Ω T = 1,5 K 0T 2T 4T 6T 0, U [mv] 0,505 0,500 YbCu3,4Al1,6 - Pt RPC = 1,3 Ω T = 1,5 K 0T 2T 4T 6T 0,665 0,660 YbCu3.25Al Pt RPC = 3.6 Ω T = 1.5 K 0,655 dv/di [a. u.] dv/di(v) [a. u.] 30 U [mv] 0,495 0,490 0,485 0,480 0,650 0,645 0,640 0,475 0,470 0T 2T 4T 6T 0,635 0,465 0, ,670 0,515 0, , U [mv] Voltage [mv] Characteristic magnetic field behaviour of dv/di(v) PC YbCu5-xAlx Pt,Cu (x = ) [G. Pristas, et al., Physica B (2006) ]

11 Results dv/di(v) [a.u.] 0.76 YbCu 3.5 Al Pt, Cu T = 1500 mk T = 100 mk dv/di(v) [a.u.] NFL deviation from T 2 up to about 700 mk Observation of maximum at higher temperatures. PCS NFL feature at higher temperatures Voltage [mv] Comparison of characteristic dv/di(v) dependences for YbCu 3.5 Al 1.5 at 1500 mk (4He cryostat) and 100 mk (3He 4He cryostat).

12 Results dv/di(v) [Ω] Measurements in high magnetic fields YbCu3.5Al1.5 - Pt T = 4.2 K (GHMFL) 0T 3T 6T 9T 12 T 15 T 18 T 21 T 23 T Voltage [V] Characteristic magnetic field behaviour of dv/di(v) PC dependences (RPC = 2.5 Ω) at T = 4.2 K. Suppressing of NFL behaviour d2v/di2(v) no acceptable structure of EQI

13 Results Maximum at zero mv T 1T 2T 3T 6T 9T YbCu3.5Al1.5 - YbCu3.5Al1.5 RPC = 0.7 Ω T = 1.5 K 0.74 'Splitting' in mag. field dv/di(v) [Ω ] Voltage [V] Characteristic magnetic field behaviour of dv/di(v) PC dependences in homo-contact arrangement (RPC = 0.7 Ω) at T = 1.5 K.

14 Záver ťažkofermiónový systém Yb 5-x (x = ); spracovanie výsledkov z meraní vo vysokých mag. poliach; CSMAG'07 meranie mikrokontaktových vlastností CeNi 1-x Cu x ; spin-cluster; CSMAG'07 merania YbRh 2 Si 2 publikovanie nameraných výsledkov dizertačná práca: mikrokontaktová spektroskopia silne korelovaných elektrónových systémov

15 Intermetallic compound YbCu 5-x (x = ) Cu/Al substitution in YbCu 5 causes a crossover from an almost non-magnetic 4f 14 state to the magnetic 4f 13 state in YbCu 3 Al 2 Appearance of non-fermi liquid (NFL) behaviour near x cr ~ 1.5 C p ~ -lnt ; deviation of the electrical resistivity from T 2 dependence In QCP magnetic correlations > k B T High frequency melting; annealing for 10 days at 750 C X-ray diffraction revealed hexagonal CaCu 5 structure; increase of the lattice parameter a and slight decrease of c

16 Intermetallic compound YbCu 5-x (x = ) Electrical resistivity From 300 mk to room temperature Concentration-depend shift of a maximum in ρ(t) at T max from 52K for x = 1.3 to about 0.9 K for x = 1.7 For x 1.5 behaviour of Kondo lattice; T max T K association [E. Bauer, et al, PRB 60 (1999) 1238] Kondo interaction decreases with increasnig x CF splitting; T RKKY gains importance as evidenced from the onset of long-rage magnetic order for x 1.6. At low temperatures deviations from T 2 behaviour, T n ; n < 2, Magnetic field decreases non-fermi liquid behaviour

17 Intermetallic compound YbCu 5-x (x = ) Magnetic susceptibility From 2 K up to room temperature; mag. fields up to 6 T Magnetic susceptibility χ(t) above about 50 K - Curie-Weiss-like behaviour for all of concentrations [E. Bauer, et al, PRB 60 (1999) 1238] χ(t) can be accounted by χ(t) = χ 0 + C/(T - Θ p ) Θ p = -190 K for x = 1.3; Θ p = -30 K for x = 1.7 Effective magnetic moment μ eff per Yb 3+ ion; 4.49 μ B for x = 1.3 and 4.16 μ B for x = 1.7

18 Intermetallic compound YbCu 5-x (x = ) Specific heat From 400 mk to about 100 K C p for T < 3 K increases with increasing Al content At low temperature C p /T increase up to about 2 J/mol K 2 typical for heavy fermion systems -lnt dependence of C p /T is characteristic for non-fermi Liquid (NFL) behaviour [E. Bauer, et al, PRB 60 (1999) 1238]

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