# Cuprates & the Pairing Mechanism Domain: Superconductivity & Quantum Materials · 235 papers indexed · newest 2026-10-29 High-Tc cuprates, the Hubbard model and its numerics, the pseudogap, strange-metal transport, charge order and d-wave pairing. Key concepts: cuprate, Hubbard model, pseudogap, strange metal, d-wave, charge density wave, high-temperature superconductivity ## Most influential - **[Unconventional superconductivity in magic-angle graphene superlattices](https://space-kitty.com/papers/arxiv:1803.02342)**. Yuan Cao, Valla Fatemi, Shiang Fang et al. · 2018 · Nature (arXiv:1803.02342 · doi:10.1038/nature26160 · 8,329 citations). Source: > The understanding of strongly-correlated materials, and in particular unconventional superconductors, has puzzled physicists for decades. Such difficulties have stimulated new research paradigms, such as ultra-cold atom lattices for simulating quantum materials. Here we report on the realization of intrinsic unconventional superconductivity in a 2D superlattice created by stacking two graphene sheets with a small twist angle. For angles near $1.1^\\circ$, the first \`magic' angle, twisted bilayer graphene (TBG) exhibits ultra-flat bands near charge neutrality, which lead to correlated insulating… - **[Signatures of superconductivity near 80 K in a nickelate under high pressure](https://space-kitty.com/papers/arxiv:2305.09586)**. Hualei Sun, Mengwu Huo, Xunwu Hu et al. · 2023 · Nature (arXiv:2305.09586 · doi:10.1038/s41586-023-06408-7 · 748 citations). Source: > High-transition-temperature (high-T\_c) superconductivity in cuprates has been discovered for more than three decades, but the underlying mechanism remains a mystery. Cuprates are the only unconventional superconducting family that host bulk superconductivity with T\_cs above the liquid nitrogen boiling temperature at 77 Kelvin. Here we report an observation of superconductivity in single crystals of La3Ni2O7 with a maximum T\_c of 80 Kelvin at pressures between 14.0-43.5 gigapascals using high-pressure resistance and mutual inductive magnetic susceptibility measurements. The superconducting phas… - **[Light-Induced Superconductivity in a Stripe-Ordered Cuprate](https://space-kitty.com/papers/doi:10.1126/science.1197294)**. Daniele Fausti, Ra'anan I. Tobey, Nicky Dean et al. · 2011 · Science (doi:10.1126/science.1197294 · 1,204 citations). Source: - **[Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67](https://space-kitty.com/papers/arxiv:1206.4333)**. J. Chang, E. Blackburn, A. T. Holmes et al. · 2012 · Nature Physics (arXiv:1206.4333 · doi:10.1038/nphys2456 · 1,091 citations). Source: > Superconductivity often emerges in the proximity of, or in competition with, symmetry breaking ground states such as antiferromagnetism or charge density waves (CDW)1-5. A number of materials in the cuprate family, which includes the high-transition-temperature (high-Tc) superconductors, show spin and charge density wave order5-7. Thus a fundamental question is to what extent these ordered states exist for compositions close to optimal for superconductivity. Here we use high-energy x-ray diffraction to show that a CDW develops at zero field in the normal state of superconducting YBa2Cu3O6.67 (… - **[Unconventional chiral charge order in kagome superconductor KV3Sb5](https://space-kitty.com/papers/arxiv:2012.15709)**. Yu-Xiao Jiang, Jia-Xin Yin, M. Michael Denner et al. · 2021 · Nature Materials (arXiv:2012.15709 · doi:10.1038/s41563-021-01034-y · 746 citations). Source: > Intertwining quantum order and nontrivial topology is at the frontier of condensed matter physics. A charge density wave (CDW) like order with orbital currents has been proposed as a powerful resource for achieving the quantum anomalous Hall effect in topological materials and for the hidden phase in cuprate high-temperature superconductors. However, the experimental realization of such an order is challenging. Here we use high-resolution scanning tunnelling microscopy (STM) to discover an unconventional charge order in a kagome material KV3Sb5, with both a topological band structure and a sup… - **[Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy](https://space-kitty.com/papers/arxiv:1109.2011)**. Tao Wu, H. Mayaffre, S. Krämer et al. · 2011 · Nature (arXiv:1109.2011 · doi:10.1038/nature10345 · 755 citations). Source: > Electronic charges introduced in copper-oxide planes generate high-transition temperature superconductivity but, under special circumstances, they can also order into filaments called stripes. Whether an underlying tendency of charges to order is present in all cuprates and whether this has any relationship with superconductivity are, however, two highly controversial issues. In order to uncover underlying electronic orders, magnetic fields strong enough to destabilise superconductivity can be used. Such experiments, including quantum oscillations in YBa2Cu3Oy (a notoriously clean cuprate wher… - **[Interface-induced superconductivity and strain-dependent spin density waves in FeSe/SrTiO3 thin films](https://space-kitty.com/papers/arxiv:1301.2748)**. Shiyong Tan, Yan Zhang, Miao Xia et al. · 2013 · Nature Materials (arXiv:1301.2748 · doi:10.1038/nmat3654 · 692 citations). Source: > The record of superconducting transition temperature(Tc) has long been 56K for the iron-based high temperature superconductors(Fe-HTS's). Recently, in single layer FeSe films grown on SrTiO3 substrate, signs for a new 65K Tc record are reported. Here with in-situ photoemission measurements, we substantiate the presence of the spin density wave(SDW) in FeSe films, a key ingredient of Fe-HTS that was missed in FeSe before, which weakens with increased thickness or reduced strain. We demonstrate that the superconductivity occurs when the electrons transferred from the oxygen-vacant substrate supp… - **[High-temperature superconductivity with zero-resistance and strange metal behavior in La$\_{3}$Ni$\_{2}$O$\_{7-δ}$](https://space-kitty.com/papers/arxiv:2307.14819)**. Yanan Zhang, Dajun Su, Yanen Huang et al. · 2023 · Nature Physics 20, 1269-1273 (2024) (arXiv:2307.14819 · doi:10.1038/s41567-024-02515-y · 309 citations). Source: > Recently signatures of superconductivity were observed close to 80 K in \\LN\\ under pressure. This discovery positions \\LN\\ as the first bulk nickelate with high-temperature superconductivity, but the lack of zero resistance presents a significant drawback for validating the findings. Here we report pressure measurements up to over 30 GPa using a liquid pressure medium and show that single crystals of \\LNO\\ do exhibit zero resistance. We find that \\LNO\\ remains metallic under applied pressures, suggesting the absence of a metal-insulator transition proximate to the superconductivity. Analysis o… - **[Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates](https://space-kitty.com/papers/arxiv:1312.1347)**. Eduardo H. da Silva Neto, Pegor Aynajian, Alex Frañó et al. · 2013 · Science (arXiv:1312.1347 · doi:10.1126/science.1243479 · 595 citations). Source: > Besides superconductivity, copper-oxide high temperature superconductors are susceptible to other types of ordering. We use scanning tunneling microscopy and resonant elastic x-ray scattering measurements to establish the formation of charge ordering in the high-temperature superconductor Bi2Sr2CaCu2O8+x. Depending on the hole concentration, the charge ordering in this system occurs with the same period as those found in Y-based or La-based cuprates, and displays the analogous competition with superconductivity. These results indicate the similarity of charge organization competing with superc… - **[Symmetry-breaking orbital anisotropy observed for detwinned Ba(Fe 1- x Co x ) 2 As 2 above the spin density wave transition](https://space-kitty.com/papers/arxiv:1011.0050)**. Ming Yi, Dong-Hui Lu, Jiun‐Haw Chu et al. · 2011 · Proceedings of the National Academy of Sciences (arXiv:1011.0050 · doi:10.1073/pnas.1015572108 · 515 citations). Source: > Nematicity, defined as broken rotational symmetry, has recently been observed in competing phases proximate to the superconducting phase in the cuprate high temperature superconductors. Similarly, the new iron-based high temperature superconductors exhibit a tetragonal to orthorhombic structural transition (i.e. a broken C4 symmetry) that either precedes or is coincident with a collinear spin density wave (SDW) transition in undoped parent compounds, and superconductivity arises when both transitions are suppressed via doping. Evidence for strong in-plane anisotropy in the SDW state in this fa… - **[Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates](https://space-kitty.com/papers/arxiv:0902.1342)**. Takeshi Kondo, Rustem Khasanov, Tsunehiro Takeuchi et al. · 2009 · Nature 457, 296 (2009) (arXiv:0902.1342 · doi:10.1038/nature07644 · 275 citations). Source: > A pairing gap and coherence are the two hallmarks of superconductivity. In a classical BCS superconductor they are established simultaneously at Tc. In the cuprates, however, an energy gap (pseudogap) extends above Tc. The origin of this gap is one of the central issues in high temperature superconductivity. Recent experimental evidence demonstrates that the pseudogap and the superconducting gap are associated with different energy scales. It is however not clear whether they coexist independently or compete. In order to understand the physics of cuprates and improve their superconducting prop… - **[Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy](https://space-kitty.com/papers/arxiv:0806.0203)**. W. D. Wise, M. C. Boyer, Kamalesh Chatterjee et al. · 2008 · Nature Physics (arXiv:0806.0203 · doi:10.1038/nphys1021 · 371 citations). Source: > One of the main challenges in understanding high TC superconductivity is to disentangle the rich variety of states of matter that may coexist, cooperate, or compete with d-wave superconductivity. At center stage is the pseudogap phase, which occupies a large portion of the cuprate phase diagram surrounding the superconducting dome \[1\]. Using scanning tunneling microscopy, we find that a static, non-dispersive, "checkerboard"-like electronic modulation exists in a broad regime of the cuprate phase diagram and exhibits strong doping dependence. The continuous increase of checkerboard periodicity… - **[Twisted Hubbard Model for Sr2IrO4: Magnetism and Possible High Temperature Superconductivity](https://space-kitty.com/papers/arxiv:1011.3500)**. Fa Wang, T. Senthil · 2010 · Phys. Rev. Lett. 106, 136402 (2011) (arXiv:1011.3500 · doi:10.1103/physrevlett.106.136402 · 468 citations). Source: > Sr2IrO4 has been suggested as a Mott insulator from a single J\_eff=1/2 band, similar to the cuprates. However this picture is complicated by the measured large magnetic anisotropy and ferromagnetism. Based on a careful mapping to the J\_eff=1/2 (pseudospin-1/2) space, we propose that the low energy electronic structure of Sr2IrO4 can indeed be described by a SU(2) invariant pseudospin-1/2 Hubbard model very similar to that of the cuprates, but with a "twisted" coupling to external magnetic field (a g-tensor with a staggered antisymmetric component). This perspective naturally explains the magne… - **[Intense paramagnon excitations in a large family of high-temperature superconductors](https://space-kitty.com/papers/arxiv:1106.2641)**. M. Le Tacon, Giacomo Claudio Ghiringhelli, Jiří Chaloupka et al. · 2011 · Nature Physics (arXiv:1106.2641 · doi:10.1038/nphys2041 · 453 citations). Source: > In the search for the mechanism of high-temperature superconductivity, intense research has been focused on the evolution of the spin excitation spectrum upon doping from the antiferromagnetic insulating to the superconducting states of the cuprates. Because of technical limitations, the experimental investigation of doped cuprates has been largely focused on low-energy excitations in a small range of momentum space. Here we use resonant inelastic x-ray scattering to show that a large family of superconductors, encompassing underdoped YBa$\_2$Cu$\_4$O$\_8$ and overdoped YBa$\_2$Cu$\_3$O$\_{7}$, exhi… - **[Superconductivity in Novel BiS 2 -Based Layered Superconductor LaO 1- x F x BiS 2](https://space-kitty.com/papers/arxiv:1207.3558)**. Yoshikazu Mizuguchi, Satoshi Demura, Keita Deguchi et al. · 2012 · Journal of the Physical Society of Japan (arXiv:1207.3558 · doi:10.1143/jpsj.81.114725 · 429 citations). Source: > Layered superconductors have provided some interesting fields in condensed matter physics owing to the low dimensionality of their electronic states. For example, the high-Tc (high transition temperature) cuprates and the Fe-based superconductors possess a layered crystal structure composed of a stacking of spacer (blocking) layers and conduction (superconducting) layers, CuO2 planes or Fe-Anion layers. The spacer layers provide carriers to the conduction layers and induce exotic superconductivity. Recently, we have reported superconductivity in the novel BiS2-based layered compound Bi4O4S3. I… ## Newest - **[Phonon Fluctuations Enhanced Superconductivity in a Three-Band Cuprate Model](https://space-kitty.com/papers/arxiv:2610.39710)**. Jiarui Liu, Yao Wang · 2026 (arXiv:2610.39710). Source: - **[Electronic liquid crystals and superconductivity from doping a moiré Mott insulator](https://space-kitty.com/papers/arxiv:2610.39978)**. Yichi Zhang, Yiyu Xia, Zhongdong Han et al. · 2026 (arXiv:2610.39978). Source: - **[Chiral $p$-Wave Superconductivity Proximate to a Fractional Chern Insulator and a Topological Charge Density Wave in a Moiré Chern Band](https://space-kitty.com/papers/arxiv:2610.40469)**. Yunze Ouyang, Fengcheng Wu · 2026 (arXiv:2610.40469). Source: - **[Direct real-space imaging of sign-reversal superconducting state by scanning Josephson tunneling](https://space-kitty.com/papers/arxiv:2610.38421)**. Tianheng Wei, Yanzhao Liu, Wei Ren et al. · 2026 (arXiv:2610.38421). Source: - **[Ground-State Properties of a Lattice-Coupled Strongly Correlated Model for Solid Oxygen under Pressure](https://space-kitty.com/papers/arxiv:2610.36697)**. Naomichi Sato, Makoto Naka, Joji Nasu · 2026 (arXiv:2610.36697). Source: - **[Structural supermodulation enables resonant Raman determination of crystalline orientation in Bi2Sr2CaCu2O8+x flakes](https://space-kitty.com/papers/arxiv:2610.36995)**. Flavia Lo Sardo, Tommaso Confalone, Shreya Kumbhakar et al. · 2026 (arXiv:2610.36995). Source: - **[New Developments in Diagrammatic Monte Carlo for Interacting Lattice Fermions: Efficient Algorithms and Applications](https://space-kitty.com/papers/arxiv:2610.37505)**. Boyuan Shi · 2026 (arXiv:2610.37505). Source: - **[Topological Criticality with Charge-\\(3e\\) Fluctuations in the \\(\\mathrm{SU}(3)\\) Triangular-Lattice Hofstadter--Hubbard Model](https://space-kitty.com/papers/arxiv:2610.37575)**. Yang Liu, Ya-Hui Zhang, Xue-Yang Song · 2026 (arXiv:2610.37575). Source: - **[A $B\_{1g}$ phonon unlocks $d$-wave superconductivity in the repulsive Hubbard model](https://space-kitty.com/papers/arxiv:2610.37746)**. Wen O. Wang, Tianshu Li, Xiaoyue Ma et al. · 2026 (arXiv:2610.37746). Source: - **[Field theory of competing phases in the interacting Kitaev chain](https://space-kitty.com/papers/arxiv:2610.37761)**. Pradip Kattel, Thierry Giamarchi · 2026 (arXiv:2610.37761). 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