Skip to main content
Log in

Search for Electronic Phase Separation at Quantum Phase Transitions

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

Phase separation and extreme sensitivity to disorder and defects are key features of electronic order near quantum phase transitions. Neutron depolarization imaging and neutron Larmor diffraction are new experimental techniques capable of providing detailed real-space and reciprocal-space information, respectively, on the existence and nature of phase separations. Proof-of-principle depolarization imaging in Pd1−x Ni x , CePd1−x Rh x and NbFe2 suggests distinct differences of the real-space distribution of ferromagnetic moments and Curie temperatures in materials at ferromagnetic quantum phase transitions. This compares with neutron Larmor diffraction which provides high-resolution reciprocal-space information of phase separation and the absence of quantum criticality in the itinerant helimagnet MnSi or the parasitic nature of small moment antiferromagnetism in URu2Si2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. Sokolov, R. Ritz, T. Keller, C. Pfleiderer, A.D. Huxley, in Proceedings of the International Conference on Strongly Correlated Electron Systems (2010)

  2. H. Amitsuka, K. Matsuda, I. Kawasaki, K. Tenya, M. Yokoyama, C. Sekine, N. Tateiwa, T.C. Kobayashi, S. Kawarazaki, H. Yoshizawa, J. Magn. Magn. Mater. 310, 214 (2007)

    Article  ADS  Google Scholar 

  3. H. Amitsuka, M. Sato, N. Metoki, M. Yokoyama, K. Kuwahara, T. Sasakibara, H. Morimoto, S. Kawarazaki, Y. Miyako, J.A. Mydosh, : Effect of pressure on tiny antiferromagnetic moment in the heavy-electron compound URu2Si2. Phys. Rev. Lett. 83, 5114–5117 (1999)

    Article  ADS  Google Scholar 

  4. D. Andreica, P. Dalmas de Réotier, A. Yaouanc, A. Amato, G. Lapertot, Absence of magnetic phase separation in MnSi under pressure. Phys. Rev. B 81(6), 060412 (2010). doi10.1103/PhysRevB.81.060412

    Article  ADS  Google Scholar 

  5. M. Brando, W.J. Duncan, D. Moroni-Klementowicz, C. Albrecht, D. Grüner, R. Ballou, F.M. Grosche, Logarithmic Fermi-liquid breakdown in NbFe2. Phys. Rev. Lett. 101(2), 026401 (2008)

    Article  ADS  Google Scholar 

  6. C. Broholm, J.K. Kjems, W.J.L. Buyers, P. Matthews, T.T.M. Palstra, A.A. Menovsky, J.A. Mydosh, Magnetic excitations and ordering in the heavy-fermion superconductor URu2Si2. Phys. Rev. Lett. 58, 1467–1470 (1987)

    Article  ADS  Google Scholar 

  7. W.J. Duncan, O.P. Welzel, D. Moroni-Klementowicz, C. Albrecht, P.G. Niklowitz, D. Grüner, M. Brando, A. Neubauer, C. Pfleiderer, N. Kikugawa, A.P. Mackenzie, F.M. Grosche, Quantum phase transitions in NbFe2 and Ca3Ru2O7. Phys. Status Solidi B 247, 599 (2010)

    Article  Google Scholar 

  8. C. Franz, C. Pfleiderer, A. Neubauer, M. Schulz, B. Pedersen, P. Böni, Magnetization of Pd1−x Ni x near quantum criticality. J. Phys. Conf. Ser. 200, 012036 (2010)

    Article  ADS  Google Scholar 

  9. C. Grünzweig, C. David, O. Bunk, M. Dierolf, G. Frei, G. Kühne, J. Kohlbrecher, R. Schäfer, P. Lejcek, H.M.R. Rønnow, F. Pfeiffer, Neutron decoherence imaging for visualizing bulk magnetic domain structures. Phys. Rev. Lett. 101(2), 025504 (2008). doi10.1103/PhysRevLett.101.025504

    Article  ADS  Google Scholar 

  10. C. Grünzweig, C. David, O. Bunk, M. Dierolf, G. Frei, G. Kühne, R. Schäfer, S. Pofahl, H.M.R. Rønnow, F. Pfeiffer, Bulk magnetic domain structures visualized by neutron dark-field imaging. Appl. Phys. Lett. 93, 112504 (2008)

    Article  ADS  Google Scholar 

  11. E. Hassinger, G. Knebel, K. Izawa, P. Lejay, B. Salce, J. Flouquet, Temperature-pressure phase diagram of URu2Si2 from resistivity measurements and ac calorimetry: Hidden order and Fermisurface nesting. Phys. Rev. B 77, 115117 (2008)

    Article  ADS  Google Scholar 

  12. N. Kardjilov, I. Manke, M. Strobl, A. Hilger, W. Treimer, M. Meissner, T. Krist, J. Banhart, Three-dimensional imaging of magnetic fields with polarized neutrons. Nat. Phys. 4, 399 (2009)

    Article  Google Scholar 

  13. T. Keller, R. Golub, F. Mezei, R. Gähler, Recent developments and results from the neutron resonance spin-echo spectrometer (NRSE) at BENSC Berlin. Physica B 234–236, 1126–1127 (1997)

    Article  Google Scholar 

  14. T. Keller, M.T. Rekveldt, K. Habicht, Neutron Larmor diffraction measurement of the lattice-spacing spread of pyrolytic graphite. Appl. Phys. A (Suppl.) 74, 127–129 (2002)

    ADS  Google Scholar 

  15. H. von Löhneysen, A. Rosch, P. Wölfle, M. Vojta, Quantum phase transitions. Rev. Mod. Phys. 79, 001015 (2007)

    Article  Google Scholar 

  16. M.B. Maple, J.W. Chen, Y. Dalichaouch, T. Kohara, C. Rossel, M.S. Torikachvili, M.W. McElfresh, J.D. Thompson, Partially gapped Fermi surface in the heavy-fermion superconductor URu2Si2. Phys. Rev. Lett. 56, 185–188 (1986)

    Article  ADS  Google Scholar 

  17. A. Miyake, A. Villaume, Y. Haga, G. Knebel, B. Salce, G. Lapertot, J. Flouquet, Pressure collapse of the magnetic ordering in MnSi via thermal expansion. J. Phys. Soc. Jpn. 78, 044703 (2009). arXiv:0901.4435

    Article  ADS  Google Scholar 

  18. D. Moroni-Klementowicz, M. Brando, C. Albrecht, W.J. Duncan, F.M. Grosche, D. Grüner, G. Kreiner, Magnetism in Nb1−y Fe2+y : Composition and magnetic field dependence. Phys. Rev. B 79(22), 224410 (2009)

    Article  ADS  Google Scholar 

  19. G. Motoyama, T. Nishioka, N.K. Sato, Phase transition between hidden and antiferromagnetic order in URu2Si2. Phys. Rev. Lett. 90, 166402 (2003)

    Article  ADS  Google Scholar 

  20. G. Motoyama, N. Yokoyama, A. Sumiyama, Y. Oda, Electrical resistivity and thermal expansion measurements of URu2Si2 under pressure. J. Phys. Soc. Jpn 77, 123710 (2008)

    Article  ADS  Google Scholar 

  21. M. Nicklas, M. Brando, G. Knebel, F. Mayr, W. Trinkl, A. Loidl, Non-Fermi-liquid behavior at a ferromagnetic quantum critical point in Ni x Pd1−x . Phys. Rev. Lett. 82(21), 4268–4271 (1999)

    Article  ADS  Google Scholar 

  22. P.G. Niklowitz, C. Pfleiderer, T. Keller, M. Vojta, Y.K. Huang, J.A. Mydosh, Parasitic small-moment antiferromagnetism and nonlinear coupling of hidden order and antiferromagnetism in URu2Si2 observed by Larmor diffraction. Phys. Rev. Lett. 104, 106406 (2010)

    Article  ADS  Google Scholar 

  23. P.G. Niklowitz, C. Pfleiderer, S. Mühlbauer, P. Böni, T. Keller, P. Link, J.A. Wilson, M. Vojta, J.A. Mydosh, New angles on the border of antiferromagnetism in NiS2 and URu2 Si2. Physica B 404(19), 2955–2960 (2009). doi10.1016/j.physb.2009.07.026

    Article  ADS  Google Scholar 

  24. T. Palstra, A.A. Menovsky, J. Vandenberg, A.J. Dirkmaat, P.H. Kes, G.J. Nieuwenhuys, J.A. Mydosh, Superconducting and magnetic transitions in the heavy-fermion system URu2Si2. Phys. Rev. Lett. 55, 2727–2730 (1985)

    Article  ADS  Google Scholar 

  25. T.T.M. Palstra, A.A. Menovsky, J.A. Mydosh, Anisotropic electrical resistivity of the magnetic heavy-fermion superconductor URu2Si2. Phys. Rev. B 33, 6527 (1986)

    Article  ADS  Google Scholar 

  26. A.E. Petrova, V. Krasnorussky, J. Sarrao, S.M. Stishov, Tricritical behavior in MnSi at nearly hydrostatic pressure. Phys. Rev. B 73(5), 052409 (2006). doi10.1103/PhysRevB.73.052409

    Article  ADS  Google Scholar 

  27. C. Pfleiderer, Superconducting phases of f-electron compounds. Rev. Mod. Phys. 81(4), 1551–1624 (2009)

    Article  ADS  Google Scholar 

  28. C. Pfleiderer, P. Böni, T. Keller, U.K. Rößler, A. Rosch, Non-Fermi liquid metal without quantum criticality. Science 316, 1871 (2007)

    Article  ADS  Google Scholar 

  29. C. Pfleiderer, A.D. Huxley, S.M. Hayden, On the use of Cu:Be clamp cells in magnetization and neutron scattering studies. J. Phys., Condens. Matter 17, S3111 (2005)

    Article  ADS  Google Scholar 

  30. C. Pfleiderer, S.R. Julian, G.G. Lonzarich, Non-Fermi liquid nature of the normal state of itinerant-electron ferromagnets. Nature 414, 427–430 (2001)

    Article  ADS  Google Scholar 

  31. C. Pfleiderer, G.J. McMullan, S.R. Julian, G.G. Lonzarich, Magnetic quantum phase transition in MnSi under hydrostatic pressure. Phys. Rev. B 55, 8330 (1997)

    Article  ADS  Google Scholar 

  32. C. Pfleiderer, J.A. Mydosh, M. Vojta, Pressure dependence of the magnetization of URu2Si2. Phys. Rev. B 74(10), 104412 (2006). doi10.1103/PhysRevB.74.104412

    Article  ADS  Google Scholar 

  33. C. Pfleiderer, D. Reznik, L. Pintschovius, J. Haug, Magnetic field and pressure dependence of small angle neutron scattering in MnSi. Phys. Rev. Lett. 99(15), 156406 (2007)

    Article  ADS  Google Scholar 

  34. C. Pfleiderer, D. Reznik, L. Pintschovius, H. v. Löhneysen, M. Garst, A. Rosch, Partial magnetic order in the non-Fermi liquid phase of MnSi. Nature 427, 227–230 (2004)

    Article  ADS  Google Scholar 

  35. M.T. Rekveldt, T. Keller, R. Golub, Larmor precession, a technique for high-sensitivity neutron diffraction. Eur. Phys. Lett. 54, 342–346 (2001)

    Article  ADS  Google Scholar 

  36. W. Schlabitz, J. Baumann, B. Pollit, U. Rauchschwalbe, H.M. Mayer, U. Ahlheim, C.D. Bredl, Superconductivity and magnetic order in a strongly interacting Fermi-system: URu2Si2. Z. Phys. B 62, 171–177 (1986)

    Article  ADS  Google Scholar 

  37. M. Schulz, A. Neubauer, S. Masalovich, M. Mühlbauer, E. Calzada, B. Schillinger, C. Pfleiderer, P. Böni, Towards a tomographic reconstruction of neutron depolarization data. J. Phys. Conf. Ser. 211, 012025 (2010)

    Article  ADS  Google Scholar 

  38. M. Schulz, A. Neubauer, M. Mühlbauer, E. Calzada, B. Schillinger, C. Pfleiderer, P. Böni, Polarized neutron radiography with a periscope. J. Phys. Conf. Ser. 210, 112009 (2010)

    Article  ADS  Google Scholar 

  39. J.G. Sereni, T. Westerkamp, R. Küchler, N. Caroca-Canales, P. Gegenwart, C. Geibel, Ferromagnetic quantum criticality in the alloy CePd1−x Rh x . Phys. Rev. B 75(2), 024432 (2007). doi10.1103/PhysRevB.75.024432

    Article  ADS  Google Scholar 

  40. G.R. Stewart, Non-Fermi-liquid behavior in d- and f-electron metals. Rev. Mod. Phys. 73(4), 797–855 (2001). doi10.1103/RevModPhys.73.797

    Article  ADS  Google Scholar 

  41. G.R. Stewart, Addendum: Non-Fermi-liquid behavior in d- and f-electron metals. Rev. Mod. Phys. 78(3), 743–753 (2006). doi10.1103/RevModPhys.78.743

    Article  ADS  Google Scholar 

  42. C. Thessieu, C. Pfleiderer, A. Stepanov, J. Flouquet, Field dependence of the magnetic quantum phase transition in MnSi. J. Phys., Condens. Matter 9(31), 6677–6687 (1997)

    Article  ADS  Google Scholar 

  43. Y.J. Uemura, T. Goko, I.M. Gat-Malureanu, J.P. Carlo, P.L. Russo, A.T. Savici, A. Aczel, G.J. MacDougall, J. Rodoriguez, G.M. Luke, S.R. Dunsiger, A. McCollam, J. Arai, C. Pfleiderer, P. Böni, K. Yoshimura, E. Baggio-Saitovitch, M.B. Fontes, J. Larrea, Y.V. Sushko, J. Sereni, Phase separation and suppression of critical dynamics at quantum transitions of itinerant magnets: MnSi and (Sr1−x Ca x )RuO3. Nat. Phys. 3, 34 (2007)

    Article  Google Scholar 

  44. T. Westerkamp, M. Deppe, R. Küchler, M. Brando, C. Geibel, P. Gegenwart, A.P. Pikul, F. Steglich, Kondo-cluster-glass state near a ferromagnetic quantum phase transition. Phys. Rev. Lett. 102(20), 206404 (2009). doi10.1103/PhysRevLett.102.206404

    Article  ADS  Google Scholar 

  45. M. Yokoyama, H. Amitsuka, K. Tenya, K. Watanabe, S. Kawarazaki, H. Yoshizawa, J.A. Mydosh, Competition between hidden order and antiferromagnetism in URu2Si2 under uniaxial stress studied by neutron scattering. Phys. Rev. B 72, 214419 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. Pfleiderer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pfleiderer, C., Böni, P., Franz, C. et al. Search for Electronic Phase Separation at Quantum Phase Transitions. J Low Temp Phys 161, 167–181 (2010). https://doi.org/10.1007/s10909-010-0214-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-010-0214-3

Keywords

Navigation