51
|
Ramshaw BJ, Sebastian SE, McDonald RD, Day J, Tan BS, Zhu Z, Betts JB, Liang R, Bonn DA, Hardy WN, Harrison N. Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor. Science 2015; 348:317-20. [DOI: 10.1126/science.aaa4990] [Citation(s) in RCA: 144] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2014] [Accepted: 03/16/2015] [Indexed: 11/02/2022]
|
52
|
Lederer S, Schattner Y, Berg E, Kivelson SA. Enhancement of superconductivity near a nematic quantum critical point. PHYSICAL REVIEW LETTERS 2015; 114:097001. [PMID: 25793842 DOI: 10.1103/physrevlett.114.097001] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2014] [Indexed: 06/04/2023]
Abstract
We consider a low T_{c} metallic superconductor weakly coupled to the soft fluctuations associated with proximity to a nematic quantum critical point (NQCP). We show that (1)Â a BCS-Eliashberg treatment remains valid outside of a parametrically narrow interval about the NQCP, (2)Â the symmetry of the superconducting state (d wave, s wave, p wave) is typically determined by the noncritical interactions, but T_{c} is enhanced by the nematic fluctuations in all channels, and (3)Â in 2D, this enhancement grows upon approach to criticality up to the point at which the weak coupling approach breaks down, but in 3D, the enhancement is much weaker.
Collapse
Affiliation(s)
- S Lederer
- Department of Physics, Stanford University, Stanford, California 94305, USA
| | - Y Schattner
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
| | - E Berg
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
| | - S A Kivelson
- Department of Physics, Stanford University, Stanford, California 94305, USA
| |
Collapse
|
53
|
Gor'kov LP, Teitel'baum GB. Two-component energy spectrum of cuprates in the pseudogap phase and its evolution with temperature and at charge ordering. Sci Rep 2015; 5:8524. [PMID: 25688011 PMCID: PMC4330546 DOI: 10.1038/srep08524] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/07/2014] [Accepted: 01/22/2015] [Indexed: 11/09/2022] Open
Abstract
In the search for mechanisms of high-temperature superconductivity it is critical to know the electronic spectrum in the pseudogap phase from which superconductivity evolves. The lack of angle-resolved photoemission data for every cuprate family precludes an agreement as to its structure, doping and temperature dependence and the role of charge ordering. Here we show that, in the entire Fermi-liquid-like regime that is ubiquitous in underdoped cuprates, the spectrum consists of holes on the Fermi arcs and an electronic pocket. We argue that experiments on the Hall coefficient identify the latter as a permanent feature at doped hole concentration x > 0.08-0.10, in contrast to the idea of the Fermi surface reconstruction via charge ordering. The longstanding issue of the origin of the negative Hall coefficient in YBCO and Hg1201 at low temperature is resolved: the electronic contribution prevails as mobility of the latter (evaluated by the Dingle temperature) becomes temperature independent, while the mobility of holes scattered by the short-wavelength charge density waves decreases.
Collapse
Affiliation(s)
- Lev P. Gor'kov
- NHMFL, Florida State University, 1800 East Paul Dirac Drive, Tallahassee Florida 32310, USA
- L.D. Landau Institute for Theoretical Physics of the RAS, Chernogolovka 142432, Russia
| | | |
Collapse
|
54
|
Doiron-Leyraud N, Badoux S, René de Cotret S, Lepault S, LeBoeuf D, Laliberté F, Hassinger E, Ramshaw BJ, Bonn DA, Hardy WN, Liang R, Park JH, Vignolles D, Vignolle B, Taillefer L, Proust C. Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy. Nat Commun 2015; 6:6034. [PMID: 25616011 PMCID: PMC4316745 DOI: 10.1038/ncomms7034] [Citation(s) in RCA: 56] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2014] [Accepted: 12/04/2014] [Indexed: 11/09/2022] Open
Abstract
In underdoped cuprate superconductors, the Fermi surface undergoes a reconstruction that produces a small electron pocket, but whether there is another, as yet, undetected portion to the Fermi surface is unknown. Establishing the complete topology of the Fermi surface is key to identifying the mechanism responsible for its reconstruction. Here we report evidence for a second Fermi pocket in underdoped YBa2Cu3Oy, detected as a small quantum oscillation frequency in the thermoelectric response and in the c-axis resistance. The field-angle dependence of the frequency shows that it is a distinct Fermi surface, and the normal-state thermopower requires it to be a hole pocket. A Fermi surface consisting of one electron pocket and two hole pockets with the measured areas and masses is consistent with a Fermi-surface reconstruction by the charge-density-wave order observed in YBa2Cu3Oy, provided other parts of the reconstructed Fermi surface are removed by a separate mechanism, possibly the pseudogap.
Collapse
Affiliation(s)
- N Doiron-Leyraud
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - S Badoux
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - S René de Cotret
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - S Lepault
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - D LeBoeuf
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - F Laliberté
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - E Hassinger
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - B J Ramshaw
- Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
| | - D A Bonn
- 1] Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - W N Hardy
- 1] Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - R Liang
- 1] Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - J-H Park
- National High Magnetic Field Laboratory, Tallahassee, Florida 32310, USA
| | - D Vignolles
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - B Vignolle
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - L Taillefer
- 1] Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - C Proust
- 1] Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| |
Collapse
|
55
|
Putzke C, Walmsley P, Fletcher JD, Malone L, Vignolles D, Proust C, Badoux S, See P, Beere HE, Ritchie DA, Kasahara S, Mizukami Y, Shibauchi T, Matsuda Y, Carrington A. Anomalous critical fields in quantum critical superconductors. Nat Commun 2014; 5:5679. [PMID: 25477044 PMCID: PMC4268691 DOI: 10.1038/ncomms6679] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2014] [Accepted: 10/28/2014] [Indexed: 11/22/2022] Open
Abstract
Fluctuations around an antiferromagnetic quantum critical point (QCP) are believed to lead to unconventional superconductivity and in some cases to high-temperature superconductivity. However, the exact mechanism by which this occurs remains poorly understood. The iron-pnictide superconductor BaFe2(As1−xPx)2 is perhaps the clearest example to date of a high-temperature quantum critical superconductor, and so it is a particularly suitable system to study how the quantum critical fluctuations affect the superconducting state. Here we show that the proximity of the QCP yields unexpected anomalies in the superconducting critical fields. We find that both the lower and upper critical fields do not follow the behaviour, predicted by conventional theory, resulting from the observed mass enhancement near the QCP. Our results imply that the energy of superconducting vortices is enhanced, possibly due to a microscopic mixing of antiferromagnetism and superconductivity, suggesting that a highly unusual vortex state is realized in quantum critical superconductors. Superconductivity in the iron pnictides is believed to be related to quantum critical fluctuations. Putzke et al. observe unexpected anomalies in the critical fields of BaFe2(As1−xPx)2 that emerge close to its magnetic critical point, which they argue is a generic feature of quantum critical superconductivity.
Collapse
Affiliation(s)
- C Putzke
- H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK
| | - P Walmsley
- H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK
| | - J D Fletcher
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, UK
| | - L Malone
- H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK
| | - D Vignolles
- Laboratoire National des Champs Magnétiques Intenses (CNRS-INSA-UJF-UPS), 31400 Toulouse, France
| | - C Proust
- Laboratoire National des Champs Magnétiques Intenses (CNRS-INSA-UJF-UPS), 31400 Toulouse, France
| | - S Badoux
- Laboratoire National des Champs Magnétiques Intenses (CNRS-INSA-UJF-UPS), 31400 Toulouse, France
| | - P See
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, UK
| | - H E Beere
- Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 0HE, UK
| | - D A Ritchie
- Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 0HE, UK
| | - S Kasahara
- Department of Physics, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan
| | - Y Mizukami
- 1] Department of Physics, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan [2] Department of Advanced Materials Science, University of Tokyo, Kashiwa 277-8561, Japan
| | - T Shibauchi
- 1] Department of Physics, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan [2] Department of Advanced Materials Science, University of Tokyo, Kashiwa 277-8561, Japan
| | - Y Matsuda
- Department of Physics, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan
| | - A Carrington
- H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK
| |
Collapse
|
56
|
Sebastian SE, Harrison N, Balakirev FF, Altarawneh MM, Goddard PA, Liang R, Bonn DA, Hardy WN, Lonzarich GG. Normal-state nodal electronic structure in underdoped high-Tc copper oxides. Nature 2014; 511:61-4. [PMID: 24930767 DOI: 10.1038/nature13326] [Citation(s) in RCA: 82] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2014] [Accepted: 04/02/2014] [Indexed: 11/09/2022]
Abstract
An outstanding problem in the field of high-transition-temperature (high-Tc) superconductivity is the identification of the normal state out of which superconductivity emerges in the mysterious underdoped regime. The normal state uncomplicated by thermal fluctuations can be studied using applied magnetic fields that are sufficiently strong to suppress long-range superconductivity at low temperatures. Proposals in which the normal ground state is characterized by small Fermi surface pockets that exist in the absence of symmetry breaking have been superseded by models based on the existence of a superlattice that breaks the translational symmetry of the underlying lattice. Recently, a charge superlattice model that positions a small electron-like Fermi pocket in the vicinity of the nodes (where the superconducting gap is minimum) has been proposed as a replacement for the prevalent superlattice models that position the Fermi pocket in the vicinity of the pseudogap at the antinodes (where the superconducting gap is maximum). Although some ingredients of symmetry breaking have been recently revealed by crystallographic studies, their relevance to the electronic structure remains unresolved. Here we report angle-resolved quantum oscillation measurements in the underdoped copper oxide YBa2Cu3O6 + x. These measurements reveal a normal ground state comprising electron-like Fermi surface pockets located in the vicinity of the nodes, and also point to an underlying superlattice structure of low frequency and long wavelength with features in common with the charge order identified recently by complementary spectroscopic techniques.
Collapse
Affiliation(s)
- Suchitra E Sebastian
- Cavendish Laboratory, Cambridge University, JJ Thomson Avenue, Cambridge CB3 OHE, UK
| | - N Harrison
- National High Magnetic Field Laboratory, Los Alamos National Laboratory (LANL), Los Alamos, New Mexico 87504, USA
| | - F F Balakirev
- National High Magnetic Field Laboratory, Los Alamos National Laboratory (LANL), Los Alamos, New Mexico 87504, USA
| | - M M Altarawneh
- 1] National High Magnetic Field Laboratory, Los Alamos National Laboratory (LANL), Los Alamos, New Mexico 87504, USA [2] Department of Physics, Mu'tah University, Mu'tah, Karak 61710, Jordan
| | - P A Goddard
- Department of Physics, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, UK
| | - Ruixing Liang
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z4, Canada [2] Canadian Institute for Advanced Research, Quantum Materials Program, Toronto M5G 1Z8, Canada
| | - D A Bonn
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z4, Canada [2] Canadian Institute for Advanced Research, Quantum Materials Program, Toronto M5G 1Z8, Canada
| | - W N Hardy
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z4, Canada [2] Canadian Institute for Advanced Research, Quantum Materials Program, Toronto M5G 1Z8, Canada
| | - G G Lonzarich
- Cavendish Laboratory, Cambridge University, JJ Thomson Avenue, Cambridge CB3 OHE, UK
| |
Collapse
|