Quantum Criticality and Emergent Phases in Heavy Fermion Metals
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1 Quantum Criticality and Emergent Phases in Heavy Fermion Metals Qimiao Si Rice University Hangzhou Workshop on Quantum Matter, April 23, 2013
2 Jed Pixley, Jianda Wu, Emil Nica Rong Yu, Wenxin Ding (Rice University) Pallab Goswami, Seiji Yamamoto (NHMFL, FSU) Stefan Kirchner (MPI-PKS,CPfS) Lijun Zhu (UC Riverside) Jian-Xin Zhu (Los Alamos) Kevin Ingersent (U. of Florida) Jianhui Dai (Zhejiang U.) S. Friedemann C. Krellner Y. Tokiwa P. Gegenwart S. Paschen S. Wirth N. Oeschler T. Westerkamp R. Küchler T. Lühmann T. Cichorek K. Neumaier O. Tegus O. Trovarelli C. Geibel F. Steglich P. Coleman E. Abrahams
3 Superconductivity at the border of magnetism Heavy fermions Cuprates Mathur et al Broun Pnictides Organics TN Kasahara et al Faltermeier et al
4 Competing states due to competing interactions Finite T: Quantum critical regime Linear resistivity Special issue: J. Low Temp. Phys. (Oct 2010) Focus issue: Nature Phys. (March 2008) TN QS & F. Steglich, Science 329, 1161 (2010)
5 Classical Criticality Landau Paradigm Disorder (T>T order ) Order (T<T order ) Criticality -- fluctuations of order parameter,, in d dimensions m(x)
6 Quantum Criticality Landau Paradigm Disorder (g>g order ) Order (g<g order ) Fluctuations of order parameter, m(x,! ), in d+z dimensions
7 Beyond-Landau Quantum Criticality Inherent quantum modes, beyond order-parameter fluctuations: -- need to identify the additional critical modes
8 Strongly Correlated Electrons and Quantum Phase Transitions Quantum Criticality & Global Phase Diagram Implications for superconductivity
9 Critical Kondo Destruction --Local Quantum Critical Point Critical Kondo Destruction (f-elec. Mott localization) at the T=0 onset of antiferromagnetism QS, S. Rabello, K. Ingersent, & J. L. Smith, Nature 413, 804 (2001) P. Coleman et al, JPCM 13, R723 (2001)
10 Kondo lattices: heavy Fermi liquid: Kondo singlet Kondo resonance No symmetry breaking, but macroscopic order
11 Dynamical Scaling of Local Quantum Critical Point α = 0.72 α = 0.83 α = 0.78 J-X Zhu, D. Grempel & QS, PRL (2003) J-X Zhu, S. Kirchner, R. Bulla, and QS, PRL (2007) M. Glossop & K. Ingersent, PRL (2007) EDMFT -- collapsing E loc * from paramagnetic side Cf. INS: A. Schröder et al. ( 00); M. Aronson et al. ( 95)
12 Cond. electron band ε (k) Heavy Fermi Liquid Heavy electron bands E1,2(k) Kondo resonance Large Fermi surface
13 Kondo Destruction and Local Quantum Criticality: Fermi Surface Reconstruction Kondo-destruction energy scale ω/t scaling in χ(q,ω,t) and G(k,ω,T) Sudden reconstruction of Fermi surface
14 Fermi Surface Jump and Kondo-Destruction Energy Scale in YbRh 2 Si 2 T* S. Friedemann, N. Oeschler, S. Wirth, C. Krellner, C. Geibel, F. Steglich, S. Paschen, S. Kirchner, and QS, PNAS 107, (2010) S. Paschen et al, Nature (2004); P. Gegenwart et al, Science (2007)
15 Global Phase Diagram G: frustration, reduced dimensionaltiy, AF S -- Kondo destr., RG in QNLσM rep. of Kondo lattice [S. J. Yamamoto & QS, PRL (2007)] Q. Si, Physica B 378, 23 (2006); Phys. Status Solidi B247, 476 (2010) also, P. Coleman & A. Nevidomskyy, JLTP 161, 182 (2010)
16 Global Phase Diagram Pure and doped YbRh2Si2 S. Friedemann et al, Nat. Phys. 5, 465 ( 09)
17 Global Phase Diagram J. Custers, R. Yu, et al., Nature Materials 11, 189 (2012) E. D. Mun et al., arxiv: Shastry-Sutherland Lattice Yb 2 Pt 2 Pb (M. C. Aronson) Kagome lattice CePdAl (H. v. Löhneysen)
18 Strongly Correlated Electrons and Quantum Phase Transitions Quantum Criticality & Global Phase Diagram Implications for superconductivity
19 Quantum critical points? emergent phases
20 Entropy accumulation near QCP Linear resistivity TN L. Zhu, M. Garst, A. Rosch, QS, PRL (2003)
21 Enhanced pairing correlation near Kondo-destruction QCP Kondo destruction J. Pixley Kondo J. Pixley, L. Deng, K. Ingersent & QS, to be published (2013)
22 Enhanced pairing correlation near Kondo-destruction QCP Kondo destruction J. Pixley Kondo J. Pixley, L. Deng, K. Ingersent & QS, to be published (2013)
23 Enhanced pairing correlation near Kondo-destruction QCP Kondo lattice cluseter EDMFT J. Pixley and QS, to be published (2013) J. Pixley
24 Fermi-surface Jump and Superconductivity in CeRhIn 5 T. Park et al., Nature 440, 65 ( 06); G. Knebel et al., PRB74, ( 06) H. Shishido, _ R. Settai, H. Harima, & Y. Onuki, JPSJ 74, 1103 ( 05)
25 SUMMARY Quantum criticality beyond-landau : SDW type: Order-parameter fluctuations Local quantum criticality: Electronic localization in the form of Kondo destruction Global phase diagram Emergent phases: Superconductivity: Effects of both critical spin fluctuations and electron localizations
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