Citation: | Talantsev Evgeny F.. Universal Fermi velocity in highly compressed hydride superconductors[J]. Matter and Radiation at Extremes, 2022, 7(5): 058403. doi: 10.1063/5.0091446 |
[1] |
A. P. Drozdov, M. I. Eremets, I. A. Troyan, V. Ksenofontov, and S. I. Shylin, “Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system,” Nature 525, 73–76 (2015).10.1038/nature14964
|
[2] |
A. P. Drozdov et al., “Superconductivity at 250 K in lanthanum hydride under high pressures,” Nature 569, 528–531 (2019).10.1038/s41586-019-1201-8
|
[3] |
M. Somayazulu et al., “Evidence for superconductivity above 260 K in lanthanum superhydride at megabar pressures,” Phys. Rev. Lett. 122, 027001 (2019).10.1103/PhysRevLett.122.027001
|
[4] |
I. A. Troyan et al., “Anomalous high-temperature superconductivity in YH6,” Adv. Mater. 33, 2006832 (2021).10.1002/adma.202006832
|
[5] |
P. Kong et al., “Superconductivity up to 243 K in yttrium hydrides under high pressure,” Nat. Commun. 12, 5075 (2021).10.1038/s41467-021-25372-2
|
[6] | |
[7] | |
[8] |
D. V. Semenok et al., “Superconductivity at 253 K in lanthanum–yttrium ternary hydrides,” Mater. Today 48, 18–28 (2021).10.1016/j.mattod.2021.03.025
|
[9] |
D. Zhou et al., “Superconducting praseodymium superhydrides,” Sci. Adv. 6, eaax6849 (2020).10.1126/sciadv.aax6849
|
[10] |
T. Matsuoka et al., “Superconductivity of platinum hydride,” Phys. Rev. B 99, 144511 (2019).10.1103/physrevb.99.144511
|
[11] |
F. Hong et al., “Possible superconductivity at ∼70 K in tin hydride SnHx under high pressure,” Mater. Today Phys. 22, 100596 (2022).10.1016/j.mtphys.2021.100596
|
[12] |
W. Chen, D. V. Semenok, X. Huang, H. Shu, X. Li, D. Duan, T. Cui, and A. R. Oganov, “High-temperature superconducting phases in cerium superhydride with a Tc up to 115 K below a pressure of 1 Megabar,” Phys. Rev. Lett. 127, 117001 (2021).10.1103/physrevlett.127.117001
|
[13] |
M. Sakata et al., “Superconductivity of lanthanum hydride synthesized using AlH3 as a hydrogen source,” Supercond. Sci. Technol. 33, 114004 (2020).10.1088/1361-6668/abb204
|
[14] |
W. Chen et al., “Synthesis of molecular metallic barium superhydride: Pseudocubic BaH12,” Nat. Commun. 12, 273 (2021).10.1038/s41467-020-20103-5
|
[15] |
M. A. Kuzovnikov and M. Tkacz, “High-pressure synthesis of novel polyhydrides of Zr and Hf with a Th4H15-type structure,” J. Phys. Chem. C 123, 30059–30066 (2019).10.1021/acs.jpcc.9b07918
|
[16] |
D. V. Semenok et al., “Superconductivity at 161 K in thorium hydride ThH10: Synthesis and properties,” Mater. Today 33, 36–44 (2020).10.1016/j.mattod.2019.10.005
|
[17] |
N. N. Wang et al., “A low-Tc superconducting modification of Th4H15 synthesized under high pressure,” Supercond. Sci. Technol. 34, 034006 (2021).10.1088/1361-6668/abdcc2
|
[18] | |
[19] |
M. Shao et al., “Superconducting ScH3 and LuH3 at megabar pressures,” Inorg. Chem. 60, 15330 (2021).10.1021/acs.inorgchem.1c01960
|
[20] |
J. Chen et al., “Computational design of novel hydrogen-rich YS–H compounds,” ACS Omega 4, 14317–14323 (2019).10.1021/acsomega.9b02094
|
[21] |
J. A. Alarco, P. C. Talbot, and I. D. R. Mackinnon, “Identification of superconductivity mechanisms and prediction of new materials using density functional theory (DFT) calculations,” J. Phys.: Conf. Ser. 1143, 012028 (2018).10.1088/1742-6596/1143/1/012028
|
[22] |
D. V. Semenok, A. G. Kvashnin, I. A. Kruglov, and A. R. Oganov, “Actinium hydrides AcH10, AcH12, and AcH16 as high-temperature conventional superconductors,” J. Phys. Chem. Lett. 9, 1920–1926 (2018).10.1021/acs.jpclett.8b00615
|
[23] |
C. J. Pickard, I. Errea, and M. I. Eremets, “Superconducting hydrides under pressure,” Annu. Rev. Condens. Matter Phys. 11, 57–76 (2020).10.1146/annurev-conmatphys-031218-013413
|
[24] |
J. A. Flores-Livas, L. Boeri, A. Sanna, G. Profeta, R. Arita, and M. Eremets, “A perspective on conventional high-temperature superconductors at high pressure: Methods and materials,” Phys. Rep. 856, 1–78 (2020).10.1016/j.physrep.2020.02.003
|
[25] |
A. Goncharov, “Phase diagram of hydrogen at extreme pressures and temperatures; updated through 2019 (Review article),” Low Temp. Phys. 46, 97 (2020).10.1063/10.0000526
|
[26] |
E. Gregoryanz, C. Ji, P. Dalladay-Simpson, B. Li, R. T. Howie, and H.-K. Mao, “Everything you always wanted to know about metallic hydrogen but were afraid to ask,” Matter Radiat. Extremes 5, 038101 (2020).10.1063/5.0002104
|
[27] |
B. Lilia et al., “The 2021 room-temperature superconductivity roadmap,” J. Phys.: Condens. Matter 34, 183002 (2022).10.1088/1361-648X/ac2864
|
[28] |
X. Zhang, Y. Zhao, and G. Yang, “Superconducting ternary hydrides under high pressure,” Wiley Interdiscip. Rev.: Comput. Mol. Sci. 12, e1582 (2021).10.1002/wcms.1582
|
[29] |
M. Dogan and M. L. Cohen, “Anomalous behaviour in high-pressure carbonaceous sulfur hydride,” Physica C 583, 1353851 (2021).10.1016/j.physc.2021.1353851
|
[30] |
T. Wang et al., “Absence of conventional room temperature superconductivity at high pressure in carbon doped H3S,” Phys. Rev. B 104, 064510 (2021).10.1103/physrevb.104.064510
|
[31] |
S. Mozaffari et al., “Superconducting phase diagram of H3S under high magnetic fields,” Nat. Commun. 10, 2522 (2019).10.1038/s41467-019-10552-y
|
[32] |
V. S. Minkov, V. B. Prakapenka, E. Greenberg, and M. I. Eremets, “A boosted critical temperature of 166 K in superconducting D3S synthesized from elemental sulfur and hydrogen,” Angew. Chem., Int. Ed. 59, 18970–18974 (2020).10.1002/anie.202007091
|
[33] |
R. Matsumoto et al., “Electrical transport measurements for superconducting sulfur hydrides using boron-doped diamond electrodes on beveled diamond anvil,” Supercond. Sci. Technol. 33, 124005 (2020).10.1088/1361-6668/abbdc5
|
[34] |
D. Laniel et al., “Novel sulfur hydrides synthesized at extreme conditions,” Phys. Rev. B 102, 134109 (2020).10.1103/physrevb.102.134109
|
[35] |
X. Huang et al., “High-temperature superconductivity in sulfur hydride evidenced by alternating-current magnetic susceptibility,” Natl. Sci. Rev. 6, 713–718 (2019).10.1093/nsr/nwz061
|
[36] |
V. L. Ginzburg and L. D. Landau, Z. Eksp. Teor. Fiz. 20, 1064 (1950).
|
[37] |
X. J. Zhou et al., “High-temperature superconductors: Universal nodal Fermi velocity,” Nature 423, 398 (2003).10.1038/423398a
|
[38] |
D. K. Sunko, “High-temperature superconductors as ionic metals,” J. Supercond. Novel Magn. 33, 27–33 (2020).10.1007/s10948-019-05280-9
|
[39] |
D. R. Harshman and A. T. Fiory, “High-Tc superconductivity in hydrogen clathrates mediated by Coulomb interactions between hydrogen and central-atom electrons,” J. Supercond. Novel Magn. 33, 2945–2961 (2020).10.1007/s10948-020-05557-4
|
[40] |
D. R. Harshman and A. T. Fiory, “The superconducting transition temperatures of C–S–H based on inter-sublattice S–H4-tetrahedron electronic interactions,” J. Appl. Phys. 131, 015105 (2022).10.1063/5.0065317
|
[41] |
Y. J. Uemura, “Bose-Einstein to BCS crossover picture for high-Tc cuprates,” Physica C 282-287, 194–197 (1997).10.1016/s0921-4534(97)00194-9
|
[42] |
E. F. Talantsev, “Comparison of highly-compressed C2/m-SnH12 superhydride with conventional superconductors,” J. Phys.: Condens. Matter 33, 285601 (2021).10.1088/1361-648x/abfc18
|
[43] |
E. F. Talantsev, W. P. Crump, and J. L. Tallon, “Universal scaling of the self-field critical current in superconductors: From sub-nanometre to millimetre size,” Sci. Rep. 7, 10010 (2017).10.1038/s41598-017-10226-z
|
[44] |
C. C. Homes, S. V. Dordevic, M. Strongin, D. A. Bonn, R. Liang, W. N. Hardy, S. Komiya, Y. Ando, G. Yu, N. Kaneko, X. Zhao, M. Greven, D. N. Basov, and T. Timusk, “A universal scaling relation in high-temperature superconductors,” Nature 430, 539–541 (2004).10.1038/nature02673
|
[45] |
M. R. Koblischka and A. Koblischka-Veneva, “Calculation of Tc of superconducting elements with the Roeser–Huber formalism,” Metals 12, 337 (2022).10.3390/met12020337
|
[46] |
M. I. Eremets, V. S. Minkov, A. P. Drozdov, P. P. Kong, V. Ksenofontov, S. I. Shylin, S. L. Bud’ko, R. Prozorov, F. F. Balakirev, D. Sun, S. Mozaffari, and L. Balicas, “High-temperature superconductivity in hydrides: Experimental evidence and details,” J. Supercond. Novel Magn. 35, 965–977 (2022).10.1007/s10948-022-06148-1
|
[47] |
I. Osmond, O. Moulding, S. Cross, T. Muramatsu, A. Brooks, O. Lord, T. Fedotenko, J. Buhot, and S. Friedemann, “Clean-limit superconductivity in Im3̄m H3S synthesized from sulfur and hydrogen donor ammonia borane,” Phys. Rev. B 105, L220502 (2022).10.1103/physrevb.105.l220502
|
[48] |
D. V. Semenok et al., “Effect of magnetic impurities on superconductivity in LaH10,” Adv. Mater. (published online) (2022).10.1002/adma.202204038
|
[49] |
E. F. Talantsev, W. P. Crump, J. G. Storey, and J. L. Tallon, “London penetration depth and thermal fluctuations in the sulphur hydride 203 K superconductor,” Ann. Phys. 529, 1600390 (2017).10.1002/andp.201600390
|
[50] |
V. S. Minkov, S. L. Bud’ko, F. F. Balakirev, V. B. Prakapenka, S. Chariton, R. J. Husband, H. P. Liermann, and M. I. Eremets, “Magnetic field screening in hydrogen-rich high-temperature superconductors,” Nat. Commun. 13, 3194 (2022).10.1038/s41467-022-30782-x
|
[51] |
J. Bardeen, L. N. Cooper, and J. R. Schrieffer, “Theory of superconductivity,” Phys. Rev. 108, 1175–1204 (1957).10.1103/physrev.108.1175
|
[52] |
E. F. Talantsev, “Classifying superconductivity in compressed H3S,” Mod. Phys. Lett. B 33, 1950195 (2019).10.1142/s0217984919501951
|
[53] |
I. Errea et al., “Quantum crystal structure in the 250-kelvin superconducting lanthanum hydride,” Nature 578, 66–69 (2020).10.1038/s41586-020-1955-z
|
[54] |
C. Heil, S. di Cataldo, G. B. Bachelet, and L. Boeri, “Superconductivity in sodalite-like yttrium hydride clathrates,” Phys. Rev. B 99, 220502(R) (2019).10.1103/physrevb.99.220502
|
[55] |
J. A. Camargo-Martínez et al., “The higher superconducting transition temperature Tc and the functional derivative of Tc with α2F(ω) for electron–phonon superconductors,” J. Phys.: Condens. Matter 32, 505901 (2020).10.1088/1361-648x/abb741
|
[56] |
C. J. Gorter and H. Casimir, “On supraconductivity I,” Physica 1, 306–320 (1934).10.1016/s0031-8914(34)90037-9
|
[57] |
C. K. Jones, J. K. Hulm, and B. S. Chandrasekhar, “Upper critical field of solid solution alloys of the transition elements,” Rev. Mod. Phys. 36, 74 (1964).10.1103/revmodphys.36.74
|
[58] |
L. P. Gor’kov, “The critical supercooling field in superconductivity theory,” Sov. Phys. JETP 10, 593–599 (1960).
|
[59] |
T. Baumgartner, M. Eisterer, H. W. Weber, R. Flükiger, C. Scheuerlein, and L. Bottura, “Effects of neutron irradiation on pinning force scaling in state-of-the-art Nb3Sn wires,” Supercond. Sci. Technol. 27, 015005 (2014).10.1088/0953-2048/27/1/015005
|
[60] |
D. Sun et al., “High-temperature superconductivity on the verge of a structural instability in lanthanum superhydride,” Nat. Commun. 12, 6863 (2021).10.1038/s41467-021-26706-w
|
[61] |
E. Helfand and N. R. Werthamer, “Temperature and purity dependence of the superconducting critical field, Hc2. II,” Phys. Rev. 147, 288–294 (1966).10.1103/physrev.147.288
|
[62] |
N. R. Werthamer, E. Helfand, and P. C. Hohenberg, “Temperature and purity dependence of the superconducting critical field, Hc2. III. Electron spin and spin-orbit effects,” Phys. Rev. 147, 295–302 (1966).10.1103/physrev.147.295
|
[63] |
H. Ninomiya et al., “Superconductivity in a scandium borocarbide with a layered crystal structure,” Inorg. Chem. 58, 15629–15636 (2019).10.1021/acs.inorgchem.9b02709
|
[64] |
H. Xie et al., “Superconducting zirconium polyhydrides at moderate pressures,” J. Phys. Chem. Lett. 11, 646–651 (2020).10.1021/acs.jpclett.9b03632
|
[65] |
W. Zhang et al., “A new superconducting 3R-WS2 phase at high pressure,” J. Phys. Chem. Lett. 12, 3321–3327 (2021).10.1021/acs.jpclett.1c00312
|
[66] |
M. Scuderi et al., “Nanoscale analysis of superconducting Fe(Se,Te) epitaxial thin films and relationship with pinning properties,” Sci. Rep. 11, 20100 (2021).10.1038/s41598-021-99574-5
|
[67] |
K. Ma et al., “Group-9 transition-metal suboxides adopting the filled-Ti2Ni structure: A class of superconductors exhibiting exceptionally high upper critical fields,” Chem. Mater. 33, 8722–8732 (2021).10.1021/acs.chemmater.1c02683
|
[68] |
M. Boubeche et al., “Enhanced superconductivity with possible re-appearance of charge density wave states in polycrystalline Cu1-xAgxIr2Te4 alloys,” J. Phys. Chem. Solids 163, 110539 (2022).10.1016/j.jpcs.2021.110539
|
[69] |
E. F. Talantsev, “Advanced McMillan’s equation and its application for the analysis of highly-compressed superconductors,” Supercond. Sci. Technol. 33, 094009 (2020).10.1088/1361-6668/ab953f
|
[70] |
E. F. Talantsev, “The electron–phonon coupling constant and the Debye temperature in polyhydrides of thorium, hexadeuteride of yttrium, and metallic hydrogen phase III,” J. Appl. Phys. 130, 195901 (2021).10.1063/5.0065003
|
[71] |
F. Gross et al., “Anomalous temperature dependence of the magnetic field penetration depth in superconducting UBe13,” Z. Phys. B: Condens. Matter 64, 175–188 (1986).10.1007/bf01303700
|
[72] |
F. Groß-Alltag, B. S. Chandrasekhar, D. Einzel, P. J. Hirschfeld, and K. Andres, “London field penetration in heavy fermion superconductors,” Z. Phys. B: Condens. Matter 82, 243–255 (1991).10.1007/BF01324334
|
[73] |
E. F. Talantsev, “In-plane p-wave coherence length in iron-based superconductors,” Results Phys. 18, 103339 (2020).10.1016/j.rinp.2020.103339
|
[74] |
C. B. Satterthwaite and I. L. Toepke, “Superconductivity of hydrides and deuterides of thorium,” Phys. Rev. Lett. 25, 741–743 (1970).10.1103/physrevlett.25.741
|
[75] |
A. B. Migdal, “Interaction between electrons and lattice vibrations in a normal metal,” Sov. Phys. JETP 7, 996–1001 (1958).
|
[76] |
G. M. Eliashberg, “Interactions between electrons and lattice vibrations in a superconductor,” Sov. Phys. JETP 11, 696–702 (1960).
|
[77] |
F. Marsiglio, “Eliashberg theory: A short review,” Ann. Phys. 417, 168102 (2020).10.1016/j.aop.2020.168102
|
[78] |
L. Pietronero, S. Strässler, and C. Grimaldi, “Nonadiabatic superconductivity. I. Vertex corrections for the electron-phonon interactions,” Phys. Rev. B 52, 10516–10529 (1995).10.1103/physrevb.52.10516
|
[79] |
C. Grimaldi, L. Pietronero, and S. Strässler, “Nonadiabatic superconductivity. II. Generalized Eliashberg equations beyond Migdal’s theorem,” Phys. Rev. B 52, 10530–10546 (1995).10.1103/physrevb.52.10530
|
[80] |
C. Grimaldi, E. Cappelluti, and L. Pietronero, “Isotope effect on m* in high Tc materials due to the breakdown of Migdal’s theorem,” Europhys. Lett. 42, 667 (1998).10.1209/epl/i1998-00303-0
|
[81] |
E. Cappelluti, S. Ciuchi, C. Grimaldi, L. Pietronero, and S. Strässler, “High Tc superconductivity in MgB2 by nonadiabatic pairing,” Phys. Rev. Lett. 88, 117003 (2002).10.1103/physrevlett.88.117003
|
[82] |
L. Pietronero, L. Boeri, E. Cappelluti, and L. Ortenzi, “Conventional/unconventional superconductivity in high-pressure hydrides and beyond: Insights from theory and perspectives,” Quantum Stud.: Math. Found. 5, 5–21 (2018).10.1007/s40509-017-0128-8
|
[83] |
F. Bloch, “Zum elektrischen widerstandsgesetz bei tiefen temperaturen,” Z. Phys. 59, 208–214 (1930).10.1007/bf01341426
|
[84] |
F. J. Blatt, Physics of Electronic Conduction in Solids (McGraw-Hill, New York, 1968), pp. 185–190.
|
[85] |
E. F. Talantsev, “Classifying hydrogen-rich superconductors,” Mater. Res. Express 6, 106002 (2019).10.1088/2053-1591/ab3bbb
|
[86] |
E. F. Talantsev, “An approach to identifying unconventional superconductivity in highly-compressed superconductors,” Supercond. Sci. Technol. 33, 124001 (2020).10.1088/1361-6668/abb11a
|
[87] |
E. F. Talantsev and R. C. Mataira, “Classifying superconductivity in ThH-ThD superhydrides/superdeuterides,” Mater. Res. Express 7, 016003 (2020).10.1088/2053-1591/ab6770
|
[88] |
E. F. Talantsev, “The electron-phonon coupling constant, Fermi temperature and unconventional superconductivity in the carbonaceous sulfur hydride 190 K superconductor,” Supercond. Sci. Technol. 34, 034001 (2021).10.1088/1361-6668/abd28e
|
[89] | |
[90] |
Y. Li, J. Hao, H. Liu, Y. Li, and Y. Ma, “The metallization and superconductivity of dense hydrogen sulfide,” J. Chem. Phys. 140, 174712 (2014).10.1063/1.4874158
|
[91] |
D. Duan, Y. Liu, F. Tian, D. Li, X. Huang, Z. Zhao, H. Yu, B. Liu, W. Tian, and T. Cui, “Pressure-induced metallization of dense (H2S)2H2 with high-Tc superconductivity,” Sci. Rep. 4, 6968 (2014).10.1038/srep06968
|
[92] |
Z. Li et al., “Superconductivity above 200 K discovered in superhydrides of calcium,” Nat. Commun. 13, 2863 (2022); arXiv:2103.16917.10.1038/s41467-022-30454-w
|
[93] |
L. Ma, K. Wang, Y. Xie, X. Yang, Y. Wang, M. Zhou, H. Liu, X. Yu, Y. Zhao, H. Wang, G. Liu, and Y. Ma, “High-temperature superconducting phase in clathrate calcium hydride CaH6 up to 215 K at a pressure of 172 GPa,” Phys. Rev. Lett. 128, 167001 (2022).10.1103/physrevlett.128.167001
|
[94] |
H. Wang, J. S. Tse, K. Tanaka, T. Iitaka, and Y. Ma, “Superconductive sodalite-like clathrate calcium hydride at high pressures,” Proc. Natl. Acad. Sci. U. S. A. 109, 6463–6466 (2012).10.1073/pnas.1118168109
|
[95] |
I. Goncharenko, M. I. Eremets, M. Hanfland, J. S. Tse, M. Amboage, Y. Yao, and I. A. Trojan, “Pressure-induced hydrogen-dominant metallic state in aluminum hydride,” Phys. Rev. Lett. 100, 045504 (2008).10.1103/PhysRevLett.100.045504
|
[96] |
P. Hou, F. Belli, R. Bianco, and I. Errea, “Strong anharmonic and quantum effects in Pm3̄nAlH3 under high pressure: A first-principles study,” Phys. Rev. B 103, 134305 (2021).10.1103/physrevb.103.134305
|
[97] |
N. W. Ashcroft, “Metallic hydrogen: A high-temperature superconductor?,” Phys. Rev. Lett. 21, 1748–1749 (1968).10.1103/physrevlett.21.1748
|
[98] |
V. L. Ginzburg, “Superfluidity and superconductivity in the universe,” J. Stat. Phys. 1, 3–24 (1969).10.1007/bf01007238
|
[99] |
J. F. Miller, R. H. Caton, and C. B. Satterthwaite, “Low-temperature heat capacity of normal and superconducting thorium hydride and thorium deuteride,” Phys. Rev. B 14, 2795 (1976).
|
[100] | |
[101] |
A. R. Oganov and C. W. Glass, “Crystal structure prediction using ab initio evolutionary techniques: Principles and applications,” J. Chem. Phys. 124, 244704–244715 (2006).10.1063/1.2210932
|
[102] |
A. R. Oganov, A. O. Lyakhov, and M. Valle, “How evolutionary crystal structure prediction works—And why,” Acc. Chem. Res. 44, 227–237 (2011).10.1021/ar1001318
|
[103] |
A. O. Lyakhov, A. R. Oganov, H. T. Stokes, and Q. Zhu, “New developments in evolutionary structure prediction algorithm USPEX,” Comput. Phys. Commun. 184, 1172–1182 (2013).10.1016/j.cpc.2012.12.009
|
[104] |
T. A. Strobel, P. Ganesh, M. Somayazulu, P. R. C. Kent, and R. J. Hemley, “Novel cooperative interactions and structural ordering in H2S–H2,” Phys. Rev. Lett. 107, 255503 (2011).10.1103/physrevlett.107.255503
|
[105] | |
[106] |
H. Liu, I. I. Naumov, R. Hoffmann, N. W. Ashcroft, and R. J. Hemley, “Potential high-Tc superconducting lanthanum and yttrium hydrides at high pressure,” Proc. Natl. Acad. Sci. U. S. A. 114, 6990–6995 (2017).10.1073/pnas.1704505114
|
[107] | |
[108] |