Introduction to High-Temperature Superconductivity for Solid State Chemists

Abstract

Superconductivity is one of the most amazing properties that metallic conductors exhibit. Electrical resistance is completely eliminated below the critical temperature (Tc), which is the most important parameter in superconductivity. Since the discovery of copper oxide superconductors 39 years ago, many solid state chemists have made significant contributions to the field by discovering new compounds and producing high-quality samples for physical measurements. However, superconductivity research remains challenging for most solid state chemists because it requires knowledge of complicated solid state physics. This manuscript aims to provide a simple, intuitive introduction to superconductivity using only fundamental physics concepts that solid state chemists are familiar with. The author investigates a wide range of materials and classifies them according to the superconductivity mechanisms that may drive them. Specifically focusing on a series of copper oxide superconductors with the highest Tc at ambient conditions, the remarkable material dependence of Tc and the underlying, unconventional superconductivity mechanism that leads to the high Tc are thoroughly examined. Although our understanding of cuprate superconductivity is still fragmented, the author believes that once the branches and leaves are removed, the story will be fairly simple, similar to the phonon-based superconductivity mechanism revealed by the BCS theory. Furthermore, potential strategies for raising the Tc of cuprates and other superconductors are discussed. The author hopes that this article will pique interest in superconductors in young solid state chemists and encourage them to pursue the discovery of still unknown and unexplored room-temperature superconductors in the future.

81 pages, 50 figures; Progress in Solid State Chemistry, in press; https://doi.org/10.1016/j.progsolidstchem.2026.100574

References in corpus (153)

• Electric Field Effect in Atomically Thin Carbon Films
• Topological Insulators
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Conventional superconductivity at 203 K at high pressures
• The pseudogap in high-temperature superconductors: an experimental survey
• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Superconductivity at 250 K in lanthanum hydride under high pressures
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Quantum Criticality in Heavy Fermion Metals
• Superconductivity of metallic boron in MgB_2
• Superconductivity in diamond
• Superconductivity in single-layer films of FeSe with a transition temperature above 100 K
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Scanning tunneling spectroscopy of high-temperature superconductors
• Superconductivity in Cu_xTiSe_2
• Superconductivity in Fullerides
• Strongly enhanced charge-density-wave order in monolayer NbSe${}_2$
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
• Superconductivity in Weyl Semimetal Candidate MoTe2
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Superconductivity at 27 K in tetragonal FeSe under high pressure
• Progress and perspectives on the electron-doped cuprates
• To What Extent Iron-Pnictide New Superconductors Have Been Clarified: A Progress Report
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Superconducting phases of f-electron compounds
• Spontaneously polarized half-gapped superconductivity
• Orbital Fluctuation Mediated Superconductivity in Iron Pnictides: Analysis of Five Orbital Hubbard-Holstein Model
• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Coexistence of ferromagnetism and superconductivity in the hybrid ruthenate-cuprate compound RuSr_2GdCu_2O_8 studied by muon spin rotation (μSR) and DC-magnetization
• Highly crystalline 2D superconductors
• Divergent nematic susceptibility in an iron arsenide superconductor
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Evidence for an excitonic insulator phase in 1T-TiSe${}_2$
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Defects in correlated metals and superconductors
• Effect of chemical inhomogeneity in the bismuth-based copper oxide superconductors
• Double superconducting dome and triple enhancement of Tc in the kagome superconductor CsV3Sb5 under high pressure
• Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Superconductivity in novel BiS2-based layered superconductor LaO1-xFxBiS2
• Pressure-driven dome-shaped superconductivity and electronic structural evolution in tungsten ditelluride
• Electrically Tunable Low Density Superconductivity in a Monolayer Topological Insulator
• From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
• Novel BiS2-based layered superconductor Bi4O4S3
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Orbital-driven nematicity in FeSe
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• Three-Dimensional Charge Density Wave Order in YBa2Cu3O6.67 at High Magnetic Fields
• Superconductivity emerging from suppressed large magnetoresistant state in WTe2
• Coexistence of the spin-density-wave and superconductivity in the (Ba,K)Fe2As2
• Phenomenological two-gap model for the specific heat of MgB_2
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• The remarkable underlying ground states of cuprate superconductors
• Superconductivity Phase Diagram of Na(x)CoO(2).1.3H(2)O
• Inhomogeneity of charge density wave order and quenched disorder in a high Tc superconductor
• Superconductivity in CVD Diamond Thin Film Well-Above Liquid Helium Temperature
• Electron-Hole Symmetry and Magnetic Coupling in Antiferromagnetic LaOFeAs
• Ironing out the details of unconventional superconductivity
• Signatures of valence fluctuations in CeCu2Si2 under high pressure
• Unconventional Superconductivity in Heavy Fermion UTe2
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• BCS-BEC Crossover and the Unitary Fermi Gas
• Superconductivity in the vicinity of antiferromagnetic order in CrAs
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Two-dome structure in electron-doped iron arsenide superconductors
• Metal-to-Insulator Crossover in the Low-Temperature Normal State of Bi_{2}Sr_{2-x}La_{x}CuO_{6+δ}
• Electron Correlations in the Low Carrier Density LaFeAsO0.89F0.11 Superconductor (Tc = 28 K)
• Nematic quantum critical point without magnetism in FeSe1-xSx superconductors
• Pressure-induced Superconductivity in the Iron-based Ladder Material BaFe2S3
• Nematic spin fluid in the tetragonal phase of BaFe2As2
• Pressure induced superconductivity on the border of magnetic order in MnP
• Possible high $T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure through Manifestation of a Nearly-Half-Filled Bilayer Hubbard Model
• Experimental evidence for bulk superconductivity in pure Bismuth single crystal at ambient pressure
• Effect of disorder outside the CuO${}_2$ planes on $T_c$ of copper oxide superconductors
• Superconductivity Induced by Bond Breaking in the Triangular Lattice of IrTe2
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Superconductivity in Ca1-xLaxFeAs2: A Novel 112-Type Iron Pnictide with Arsenic Zigzag Bonds
• Indications of d_{x^2 - y^2} Superconductivity in the Two Dimensional t-J Model
• Direct relation between the low-energy spin excitations and superconductivity of overdoped high-$T_c$ superconductors
• The superfluid density in cuprate high-Tc superconductors - a new paradigm
• (63)Cu NQR Evidence for Spatial Variation of Hole Concentration in La(2-x)Sr(x)CuO(4)
• Evidence for charge Kondo effect in superconducting Tl-doped PbTe
• An explanation for a universality of transition temperatures in families of copper oxide superconductors
• Quantum Valence Criticality as Origin of Unconventional Critical Phenomena
• Orbital Freezing in FeCr2S4 Studied by Dielectric Spectroscopy
• Odd-parity superconductivity in the vicinity of inversion symmetry breaking in spin-orbit-coupled systems
• New Perspective on the Phase Diagram of Cuprate High-Temperature Superconductors
• Giant superconducting fluctuations in the compensated semimetal FeSe at the BCS-BEC crossover
• High-Tc Superconductivity and Antiferromagnetism in Multilayered Copper Oxides - A New Paradigm of Superconducting Mechanism -
• Superconductivity of 2.2 K under Pressure in Helimagnet CrAs
• Gate-controlled BCS-BEC crossover in a two-dimensional superconductor
• Specific heat of quasi-2D antiferromagnetic Heisenberg models with varying inter-planar couplings
• Polymorphism in Ruddlesden-Popper $L{a}_{3}N{i}_2{O}_7$: Discovery of a Hidden Phase with Distinctive Layer Stacking
• Uniform Mixing of High-Tc Superconductivity and Antiferromagnetism on a Single CuO2 Plane in Hg-based Five-layered Cuprate
• Structural instability of the rutile compounds and its relevance to the metal-insulator transition of VO2
• Point nodes persisting far beyond Tc in Bi2212
• Microscopic annealing process and its impact on superconductivity in T'-structure electron-doped copper oxides
• Charge Segregation, Cluster Spin-Glass and Superconductivity in La1.94Sr0.06CuO4
• Rattling-Induced Superconductiviy in the Beta-Pyrochlore Oxides AOs2O6
• Direct observation of excitonic instability in Ta2NiSe5
• Magnetic and superconducting phase diagram of electron-doped Pr${}_{1-x}$LaCe${}_x$CuO${}_4$
• Coexistence of Superconductivity and Antiferromagnetism in Multilayered High-$T_c$ Superconductor HgBa${}_2$Ca${}_4$Cu${}_5$O${}_y$: A Cu-NMR Study
• Room Temperature Superconductivity: the Roles of Theory and Materials Design
• Orbital degeneracy as a source of frustration in LiNiO${}_2$
• Evolution of a Metal to Insulator Transition in Ca${}_{2-x}$Na${}_x$CuO${}_2$Cl${}_2$, as seen by ARPES
• Superconductivity and the Effects of Pressure and Structure in Single Crystalline SrNi${}_2$P${}_2$
• Electric Toroidal Quadrupoles in Spin-Orbit Coupled Metal Cd${}_2$Re${}_2$O${}_7$
• Phase Diagram of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Revisited
• Instantaneous Spin Correlations in La2CuO4
• Valence Instability and Superconductivity in Heavy Fermion Systems
• Superconductivity in higher titanium oxides
• Transport anomalies in a simplified model for a heavy electron quantum critical point
• Effect of the pseudogap on T${}_c$ in the cuprates and implications for its origin
• Pyrochlore Oxide Superconductor Cd2Re2O7 Revisited
• Dynamical Screening and Superconducting State in Intercalated Layered Metallochloronitrides
• Possibility of f-wave spin-triplet superconductivity in the CoO superconductor: a case study on a 2D triangular lattice in the repulsive Hubbard model
• Observation of small Fermi pockets protected by clean CuO2 sheets of a high-Tc superconductor
• Classification of multipole superconductivity in multi-orbital systems and its implications
• Pressure-induced superconductivity up to 9 K in the quasi-one-dimensional KMn6Bi5
• Possibility of Gapless Spin Liquid State by One-dimensionalization
• Superconducting Transition Temperatures of up to 47 K from Simultaneous Rare-Earth Element and Antimony Doping of 112-Type CaFeAs2
• Superconducting Properties of the K${}_x$WO${}_3$ Tetragonal Tungsten Bronze and the Superconducting Phase Diagram of the Tungsten Bronze Family
• Electric and magnetic characterization of NbSe2 single crystals: anisotropic superconducting fluctuations above Tc
• Nanoscale Proximity Effect in the High Temperature Superconductor Bi-2212
• Finding New Superconductors: The Spin-Fluctuation Gateway to High Tc and Possible Room Temperature Superconductivity
• Hybridization-gap Formation and Superconductivity in the Pressure-induced Semimetallic Phase of the Excitonic Insulator Ta${}_2$NiSe${}_5$
• Novel Electronic State and Superconductivity in the Electron-Doped High-Tc T'-Superconductors
• Multiorbital singlet pairing and $d+d$ superconductivity
• Quantum criticality and the phase diagram of the cuprates
• Excitonic instability and unconventional pairing in the nodal-line materials ZrSiS and ZrSiSe
• Uniform mixing of antiferromagnetism and high-T_c superconductivity in multilayered copper oxides Ba_2Ca_{n-1}Cu_nO_{2n}F_2 with apical fluorines (n=2,3,4): Cu-NMR/NQR and F-NMR
• Revisiting ${}^{63}$Cu NMR evidence for charge order in superconducting La${}_{1.885}$Sr${}_{0.115}$CuO${}_4$
• High-Tc superconductivity and antiferromagnetism in multilayer cuprates: 63Cu- and 19F-NMR on five-layer Ba2Ca4Cu5O10(F,O)2
• Superconductivity in a layered cobalt oxychalcogenide Na${}_2$CoSe${}_2$O with a triangular lattice
• Superconductivity in Ternary Scandium Telluride Sc6MTe2 with 3d, 4d, and 5d Transition Metals
• Planar CuO_2 hole density estimation in multilayered high-T_c cuprates
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Dimensional reduction by geometrical frustration in a cubic antiferromagnet composed of tetrahedral clusters
• Superconductivity in heavy fermion compounds
• Helical magnetic state in the vicinity of the pressure-induced superconducting phase in MnP
• Pressure tuning of structure, superconductivity and novel magnetic order in the Ce-underdoped electron-doped cuprate T'-Pr_1.3-xLa_0.7Ce_xCuO_4 (x = 0.1)
• Superconducting materials - a topical overview
• Pseudogap Formation in the Nodal-Line Semimetal NaAlGe