Temperature and angular dependence of the upper critical field in K2Cr3As3

Zuo, Huakun; Bao, Jin-Ke; Liu, Yi; Wang, Jinhua; Jin, Zhao; Xia, Zhengcai; Li, Liang; Xu, Zhuan; Kang, Jian; Zhu, Zengwei; Cao, Guang-Han

doi:10.1103/physrevb.95.014502

Temperature and angular dependence of the upper critical field in K₂Cr₃As₃

Journal Article · Tue Jan 03 00:00:00 EST 2017 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.95.014502· OSTI ID:1535818

Zuo, Huakun ^[1]; Bao, Jin-Ke ^[2]; Liu, Yi ^[2]; Wang, Jinhua ^[3]; Jin, Zhao ^[3]; Xia, Zhengcai ^[3]; Li, Liang ^[3]; Xu, Zhuan ^[4]; Kang, Jian ^[5]; Zhu, Zengwei ^[3]; Cao, Guang-Han ^[4]

Huazhong University of Science and Technology, Wuhan (China); DOE/OSTI
Zhejiang University, Hangzhou (China)
Huazhong University of Science and Technology, Wuhan (China)
Zhejiang University, Hangzhou (China); Collaborative Innovation Centre of Advanced Microstructures (China)
Univ. of Minnesota, Minneapolis, MN (United States)

We report measurements of the upper critical field H_c2 as functions of temperature T, polar angle θ (of the field direction with respect to the crystallographic c axis), and azimuthal angle Φ (of the field direction relative to the a axis within the ab plane) for the Cr-based superconductor K₂Cr₃As₃ with a quasi-one-dimensional and noncentrosymmetric crystal structure. We confirm that the anisotropy in Hc₂(T) becomes inverse with decreasing temperature. At low temperatures, H_c2(θ) data are featured by two maxima at θ = 0 (H∥_c) and π/2 (H⊥c), which can be quantitatively understood only if uniaxial effective-mass anisotropy and absence of Pauli paramagnetic effect for H⊥c are taken simultaneously into consideration. The in-plane H_c2(Φ) profile shows a unique threefold modulation especially at low temperatures. Overall, the characteristics of the H_c2(θ, Φ, T) data mostly resemble those of the heavy-fermion superconductor UPt₃, and we argue in favor of a dominant spin-triplet superconductivity with odd parity in K₂Cr₃As₃.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012336

OSTI ID:: 1535818

Alternate ID(s):: OSTI ID: 1338098

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 1 Vol. 95; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (57)

Possibility of Coexistence of Bulk Superconductivity and Spin Fluctuations in UPt₃ Stewart, G. R.; Fisk, Z.; Willis, J. O. Ten Years of Superconductivity: 1980–1990 https://doi.org/10.1007/978-94-011-1622-0_8	book	January 1984
Possible highT c superconductivity in the Ba?La?Cu?O system Bednorz, J. G.; M�ller, K. A. Zeitschrift f�r Physik B Condensed Matter, Vol. 64, Issue 2 https://doi.org/10.1007/BF01303701	journal	June 1986
Effect of impurity scattering on superconductivity in K2Cr3As3 Liu, Yi; Bao, Jin-Ke; Zuo, Hao-Kun Science China Physics, Mechanics & Astronomy, Vol. 59, Issue 5 https://doi.org/10.1007/s11433-016-5788-6	journal	January 2016
Superconductivity in quasi-one-dimensional Cs2Cr3As3 with large interchain distance Tang, Zhang-Tu; Bao, Jin-Ke; Wang, Zhen Science China Materials, Vol. 58, Issue 1 https://doi.org/10.1007/s40843-015-0021-x	journal	January 2015
Links between the Crystal and Electronic Structure in the New Family of Unconventional Superconductors A ₂ Cr ₃ As ₃ (A = K, Rb, Cs) Alemany, Pere; Canadell, Enric Inorganic Chemistry, Vol. 54, Issue 16 https://doi.org/10.1021/acs.inorgchem.5b01207	journal	July 2015
Iron-Based Layered Superconductor La[O _1- _x F _x ]FeAs ( x = 0.05−0.12) with T _c = 26 K Kamihara, Yoichi; Watanabe, Takumi; Hirano, Masahiro Journal of the American Chemical Society, Vol. 130, Issue 11 https://doi.org/10.1021/ja800073m	journal	March 2008
Anisotropic Superconducting Properties of MgB₂ and Related Compounds Tamegai, Tsuyoshi; Shi, Zhixiang; Pradhan, Aswini Kumar Journal of Low Temperature Physics, Vol. 131, Issue 5/6, p. 1153-1157 https://doi.org/10.1023/A:1023421714730	journal	January 2003
Superconductivity on the border of itinerant-electron ferromagnetism in UGe2 Saxena, S. S.; Agarwal, P.; Ahilan, K. Nature, Vol. 406, Issue 6796 https://doi.org/10.1038/35020500	journal	August 2000
Superconductivity in a layered perovskite without copper Maeno, Y.; Hashimoto, H.; Yoshida, K. Nature, Vol. 372, Issue 6506 https://doi.org/10.1038/372532a0	journal	December 1994
Electronic structure of quasi-one-dimensional superconductor K2Cr3As3 from first-principles calculations Jiang, Hao; Cao, Guanghan; Cao, Chao Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep16054	journal	November 2015
Superconductivity in a synthetic organic conductor (TMTSF)2PF 6 Jérome, D.; Mazaud, A.; Ribault, M. Journal de Physique Lettres, Vol. 41, Issue 4 https://doi.org/10.1051/jphyslet:0198000410409500	journal	January 1980
Upper‐Critical‐Field Limits for bulk Type‐Ii Superconductors Hake, R. R. Applied Physics Letters, Vol. 10, Issue 6 https://doi.org/10.1063/1.1754905	journal	March 1967
A note on the Maximum Critical Field of High‐Field Superconductors Chandrasekhar, B. S. Applied Physics Letters, Vol. 1, Issue 1 https://doi.org/10.1063/1.1777362	journal	September 1962
Theory of Superconductivity Schrieffer, J. R.; Mansfield, John E. Physics Today, Vol. 18, Issue 5 https://doi.org/10.1063/1.3047438	journal	May 1965
Triplet versus singlet superconductivity in quasi-one-dimensional conductors Zhang, Wei; Sá De Melo, Carlos A. R. Advances in Physics, Vol. 56, Issue 4 https://doi.org/10.1080/00018730701403190	journal	June 2007
Magnetism in Quasi-One-Dimensional A ₂ Cr ₃ As ₃ (A=K,Rb) Superconductors Wu, Xian-Xin; Le, Cong-Cong; Yuan, Jing Chinese Physics Letters, Vol. 32, Issue 5 https://doi.org/10.1088/0256-307X/32/5/057401	journal	May 2015
Inversion of the upper critical field anisotropy in FeTeS films Maiorov, B.; Mele, P.; Baily, S. A. Superconductor Science and Technology, Vol. 27, Issue 4 https://doi.org/10.1088/0953-2048/27/4/044005	journal	March 2014
Theory of Superconductivity Bardeen, J.; Cooper, L. N.; Schrieffer, J. R. Physical Review, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRev.108.1175	journal	December 1957
Temperature and Purity Dependence of the Superconducting Critical Field, H c 2 . III. Electron Spin and Spin-Orbit Effects Werthamer, N. R.; Helfand, E.; Hohenberg, P. C. Physical Review, Vol. 147, Issue 1 https://doi.org/10.1103/PhysRev.147.295	journal	July 1966
Anisotropy of H c 2 in a cesium fluoroxide tungsten bronze Skokan, M. R.; Morris, R. C.; Moulton, W. G. Physical Review B, Vol. 13, Issue 3 https://doi.org/10.1103/PhysRevB.13.1077	journal	February 1976
Ginzburg-Landau theory of the upper critical field in filamentary superconductors Turkevich, L. A.; Klemm, R. A. Physical Review B, Vol. 19, Issue 5 https://doi.org/10.1103/PhysRevB.19.2520	journal	March 1979
Weak anisotropy of the superconducting upper critical field in Fe 1.11 Te 0.6 Se 0.4 single crystals Fang, Minghu; Yang, Jinhu; Balakirev, F. F. Physical Review B, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevB.81.020509	journal	January 2010
Evidence for dominant Pauli paramagnetic effect in the upper critical field of single-crystalline FeTe 0.6 Se 0.4 Khim, Seunghyun; Kim, Jae Wook; Choi, Eun Sang Physical Review B, Vol. 81, Issue 18 https://doi.org/10.1103/PhysRevB.81.184511	journal	May 2010
Unconventional superconductivity in quasi-one-dimensional Rb 2 Cr 3 As 3 Tang, Zhang-Tu; Bao, Jin-Ke; Liu, Yi Physical Review B, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevB.91.020506	journal	January 2015
Anisotropic H c 2 , thermodynamic and transport measurements, and pressure dependence of T c in K 2 Cr 3 As 3 single crystals Kong, Tai; Bud'ko, Sergey L.; Canfield, Paul C. Physical Review B, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevB.91.020507	journal	January 2015
Cluster spin-glass ground state in quasi-one-dimensional KCr 3 As 3 Bao, Jin-Ke; Li, Lin; Tang, Zhang-Tu Physical Review B, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevB.91.180404	journal	May 2015
Evidence for nodal superconductivity in quasi-one-dimensional K 2 Cr 3 As 3 Pang, G. M.; Smidman, M.; Jiang, W. B. Physical Review B, Vol. 91, Issue 22 https://doi.org/10.1103/PhysRevB.91.220502	journal	June 2015
Anisotropy reversal of the upper critical field at low temperatures and spin-locked superconductivity in K 2 Cr 3 As 3 Balakirev, F. F.; Kong, T.; Jaime, M. Physical Review B, Vol. 91, Issue 22 https://doi.org/10.1103/PhysRevB.91.220505	journal	June 2015
Tunable electronic anisotropy in single-crystal A 2 Cr 3 As 3 ( A = K , Rb ) quasi-one-dimensional superconductors Wang, X. F.; Roncaioli, C.; Eckberg, C. Physical Review B, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevB.92.020508	journal	July 2015
Triplet p z -wave pairing in quasi-one-dimensional A 2 Cr 3 As 3 superconductors ( A = K , Rb , Cs ) Wu, Xianxin; Yang, Fan; Le, Congcong Physical Review B, Vol. 92, Issue 10 https://doi.org/10.1103/PhysRevB.92.104511	journal	September 2015
Superconducting ground state of quasi-one-dimensional K 2 Cr 3 As 3 investigated using μ SR measurements Adroja, D. T.; Bhattacharyya, A.; Telling, M. Physical Review B, Vol. 92, Issue 13 https://doi.org/10.1103/PhysRevB.92.134505	journal	October 2015
Twofold Spontaneous Symmetry Breaking in the Heavy-Fermion Superconductor UPt 3 Machida, Y.; Itoh, A.; So, Y. Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.157002	journal	April 2012
Pauli-Limited Multiband Superconductivity in KFe 2 As 2 Zocco, D. A.; Grube, K.; Eilers, F. Physical Review Letters, Vol. 111, Issue 5 https://doi.org/10.1103/PhysRevLett.111.057007	journal	August 2013
NMR Investigation of the Quasi-One-Dimensional Superconductor K 2 Cr 3 As 3 Zhi, H. Z.; Imai, T.; Ning, F. L. Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.147004	journal	April 2015
Ferromagnetic Spin Fluctuation and Unconventional Superconductivity in Rb 2 Cr 3 As 3 Revealed by As 75 NMR and NQR Yang, J.; Tang, Z. T.; Cao, G. H. Physical Review Letters, Vol. 115, Issue 14 https://doi.org/10.1103/PhysRevLett.115.147002	journal	September 2015
Formation of Molecular-Orbital Bands in a Twisted Hubbard Tube: Implications for Unconventional Superconductivity in K 2 Cr 3 As 3 Zhong, Hanting; Feng, Xiao-Yong; Chen, Hua Physical Review Letters, Vol. 115, Issue 22 https://doi.org/10.1103/PhysRevLett.115.227001	journal	November 2015
Superconductivity in the Presence of Strong Pauli Paramagnetism: Ce Cu 2 Si 2 Steglich, F.; Aarts, J.; Bredl, C. D. Physical Review Letters, Vol. 43, Issue 25 https://doi.org/10.1103/PhysRevLett.43.1892	journal	December 1979
Possibility of Coexistence of Bulk Superconductivity and Spin Fluctuations in U Pt 3 Stewart, G. R.; Fisk, Z.; Willis, J. O. Physical Review Letters, Vol. 52, Issue 8 https://doi.org/10.1103/PhysRevLett.52.679	journal	February 1984
Unusual Angular and Temperature Dependence of the Upper Critical Field in U Pt 3 Shivaram, B. S.; Rosenbaum, T. F.; Hinks, D. G. Physical Review Letters, Vol. 57, Issue 10 https://doi.org/10.1103/PhysRevLett.57.1259	journal	September 1986
Magnetic order and fluctuations in superconducting UPt 3 Aeppli, G.; Bucher, E.; Broholm, C. Physical Review Letters, Vol. 60, Issue 7 https://doi.org/10.1103/PhysRevLett.60.615	journal	February 1988
Identification of odd-parity superconductivity in UPt_{3} from paramagnetic effects on the upper critical field Choi, C.; Sauls, J. Physical Review Letters, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevLett.66.484	journal	January 1991
Angular Dependence of the Upper Critical Field of the Heavy Fermion Superconductor UPt 3 Keller, N.; Tholence, J. L.; Huxley, A. Physical Review Letters, Vol. 73, Issue 17 https://doi.org/10.1103/PhysRevLett.73.2364	journal	October 1994
Theory for the Angular Dependence of the Upper Critical Field of Superconducting UP t 3 Agterberg, D. F.; Walker, M. B. Physical Review Letters, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevLett.74.3904	journal	May 1995
Anisotropy of the Upper Critical Field in (TMTSF ) 2 P F 6 Lee, I. J.; Naughton, M. J.; Danner, G. M. Physical Review Letters, Vol. 78, Issue 18 https://doi.org/10.1103/PhysRevLett.78.3555	journal	May 1997
Upper Limit for the Critical Field in Hard Superconductors Clogston, A. M. Physical Review Letters, Vol. 9, Issue 6 https://doi.org/10.1103/PhysRevLett.9.266	journal	September 1962
Superconductivity in Quasi-One-Dimensional K 2 Cr 3 As 3 with Significant Electron Correlations Bao, Jin-Ke; Liu, Ji-Yong; Ma, Cong-Wei Physical Review X, Vol. 5, Issue 1 https://doi.org/10.1103/PhysRevX.5.011013	journal	February 2015
Phenomenological theory of unconventional superconductivity Sigrist, Manfred; Ueda, Kazuo Reviews of Modern Physics, Vol. 63, Issue 2 https://doi.org/10.1103/RevModPhys.63.239	journal	April 1991
The Challenge of Unconventional Superconductivity Norman, M. R. Science, Vol. 332, Issue 6026 https://doi.org/10.1126/science.1200181	journal	April 2011
Observation of broken time-reversal symmetry in the heavy-fermion superconductor UPt3 Schemm, E. R.; Gannon, W. J.; Wishne, C. M. Science, Vol. 345, Issue 6193 https://doi.org/10.1126/science.1248552	journal	July 2014
Anisotropy of the upper critical field in MgB2: the two-gap Ginzburg-Landau theory Dao, V. H.; Zhitomirsky, M. E. The European Physical Journal B, Vol. 44, Issue 2 https://doi.org/10.1140/epjb/e2005-00113-8	journal	March 2005
Anisotropy of Upper Critical Fields for d- and p-Wave Pairing Superconductivity Machida, Kazushige; Ohmi, Tetsuo; Ozaki, Masa-aki Journal of the Physical Society of Japan, Vol. 54, Issue 4 https://doi.org/10.1143/JPSJ.54.1552	journal	April 1985
The Challenge of Unconventional Superconductivity Norman, M. R. arXiv https://doi.org/10.48550/arxiv.1106.1213	text	January 2011
Twofold spontaneous symmetry breaking in a heavy fermion superconductor UPt$_3$ Machida, Y.; Itoh, A.; So, Y. arXiv https://doi.org/10.48550/arxiv.1107.3082	text	January 2011
Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt$_3$ Schemm, E. R.; Gannon, W. J.; Wishne, C. M. arXiv https://doi.org/10.48550/arxiv.1410.1482	text	January 2014
Electronic structure of quasi-one-dimensional superconductor K$_2$Cr$_3$As$_3$ from first-principles calculations Jiang, Hao; Cao, Guanghan; Cao, Chao arXiv https://doi.org/10.48550/arxiv.1412.1309	text	January 2014
Magnetism in Quasi-One-Dimensional A$_2$Cr$_3$As$_3$ (A=K,Rb) superconductors Wu, Xianxin; Le, Congcong; Yuan, Jing arXiv https://doi.org/10.48550/arxiv.1501.00412	text	January 2015
Effect of impurity scattering on superconductivity in K$_2$Cr$_3$As$_3$ Liu, Y.; Bao, J. K.; Zuo, H. K. arXiv https://doi.org/10.48550/arxiv.1601.00824	text	January 2016

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75 CONDENSED MATTER PHYSICS
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