Agterberg, D. F. et al. The physics of pair-density waves: cuprate superconductors and beyond. Annu. Rev. Condens. Matter Phys. 11, 231–270 (2020).
Fradkin, E., Kivelson, S. A. & Tranquada, J. M. Colloquium: theory of intertwined orders in high temperature superconductors. Rev. Mod. Phys. 87, 457–482 (2015).
Hamidian, M. H. et al. Detection of a Cooper-pair density wave in Bi2Sr2CaCu2O8+x. Nature 532, 343–347 (2016).
Du, Z. et al. Imaging the energy gap modulations of the cuprate pair-density-wave state. Nature 580, 65–70 (2020).
Chen, H. et al. Roton pair density wave in a strong-coupling kagome superconductor. Nature 599, 222–228 (2021).
Bardeen, J., Cooper, L. N. & Schrieffer, J. R. Microscopic theory of superconductivity. Phys. Rev. 106, 162–164 (1957).
Fulde, P. & Ferrell, R. A. Superconductivity in a strong spin-exchange field. Phys. Rev. 135, 550 (1964).
Larkin, A. I. & Ovchinnikov, Y. N. Inhomogeneous state of superconductors. Sov. Phys. JETP 20, 762–769 (1965).
Chen, H.-D., Vafek, O., Yazdani, A. & Zhang, S.-C. Pair density wave in the pseudogap state of high temperature superconductors. Phys. Rev. Lett. 93, 187002 (2004).
Berg, E. et al. Dynamical layer decoupling in a stripe-ordered high-Tc superconductor. Phys. Rev. Lett. 99, 127003 (2007).
Agterberg, D. F. & Tsunetsugu, H. Dislocations and vortices in pair-density-wave superconductors. Nat. Phys. 4, 639–642 (2008).
Berg, E., Fradkin, E. & Kivelson, S. A. Charge-4e superconductivity from pair-density-wave order in certain high-temperature superconductors. Nat. Phys. 5, 830–833 (2009).
Lee, P. A. Amperean pairing and the pseudogap phase of cuprate superconductors. Phys. Rev. X 4, 031017 (2014).
Berg, E., Fradkin, E. & Kivelson, S. A. Pair-density-wave correlations in the Kondo–Heisenberg model. Phys. Rev. Lett. 105, 146403 (2010).
Ruan, W. et al. Visualization of the periodic modulation of Cooper pairing in a cuprate superconductor. Nat. Phys. 14, 1178–1182 (2018).
Edkins, S. D. et al. Magnetic field-induced pair density wave state in the cuprate vortex halo. Science 364, 976–980 (2019).
Liu, X., Chong, Y. X., Sharma, R. & Davis, J. C. S. Discovery of a Cooper-pair density wave state in a transition-metal dichalcogenide. Science 372, 1447–1452 (2021).
Yu, Y. et al. High-temperature superconductivity in monolayer Bi2Sr2CaCu2O8+δ. Nature 575, 156–163 (2019).
Chuang, T.-M. et al. Nematic electronic structure in the “parent” state of the iron-based superconductor Ca(Fe1-xCox)2As2. Science 327, 181–184 (2010).
Dai, P. Antiferromagnetic order and spin dynamics in iron-based superconductors. Rev. Mod. Phys. 87, 855–896 (2015).
Li, W. et al. Stripes developed at the strong limit of nematicity in FeSe film. Nat. Phys. 13, 957–961 (2017).
Fernandes, R. M. et al. Iron pnictides and chalcogenides: a new paradigm for superconductivity. Nature 601, 35–44 (2022).
Cho, C.-w et al. Thermodynamic evidence for the Fulde–Ferrell–Larkin–Ovchinnikov state in the KFe2As2 superconductor. Phys. Rev. Lett. 119, 217002 (2017).
Kasahara, S. et al. Evidence for an Fulde–Ferrell–Larkin–Ovchinnikov state with segmented vortices in the BCS-BEC-crossover superconductor FeSe. Phys. Rev. Lett. 124, 107001 (2020).
Wang, Q.-Y. et al. Interface-induced high-temperature superconductivity in single unit-cell FeSe films on SrTiO3. Chinese Phys. Lett. 29, 037402 (2012).
Zhang, W.-H. et al. Direct observation of high-temperature superconductivity in one-unit-cell FeSe films. Chinese Phys. Lett. 31, 017401 (2014).
Li, F. et al. Interface-enhanced high-temperature superconductivity in single-unit-cell FeTe1−xSex films on SrTiO3. Phys. Rev. B 91, 220503 (2015).
Liu, C. et al. Detection of bosonic mode as a signature of magnetic excitation in one-unit-cell FeSe on SrTiO3. Nano Lett. 19, 3464–3472 (2019).
Liu, C. et al. Zero-energy bound states in the high-temperature superconductors at the two-dimensional limit. Sci. Adv. 6, eaax7547 (2020).
Chen, C., Liu, C., Liu, Y. & Wang, J. Bosonic mode and impurity-scattering in monolayer Fe(Te,Se) high-temperature superconductors. Nano Lett. 20, 2056–2061 (2020).
Chen, C. et al. Atomic line defects and zero-energy end states in monolayer Fe(Te,Se) high-temperature superconductors. Nat. Phys. 16, 536–540 (2020).
Hao, N. & Hu, J. Topological phases in the single-layer FeSe. Phys. Rev. X 4, 031053 (2014).
Wang, Z. F. et al. Topological edge states in a high-temperature superconductor FeSe/SrTiO3(001) film. Nat. Mater. 15, 968–973 (2016).
Shi, X. et al. FeTe1−xSex monolayer films: towards the realization of high-temperature connate topological superconductivity. Sci. Bull. 62, 503–507 (2017).
Ren, Z. et al. Nanoscale decoupling of electronic nematicity and structural anisotropy in FeSe thin films. Nat. Commun. 12, 10 (2021).
Fan, Q. et al. Plain s-wave superconductivity in single-layer FeSe on SrTiO3 probed by scanning tunnelling microscopy. Nat. Phys. 11, 946–952 (2015).
Wang, Z. et al. Evidence for dispersing 1D Majorana channels in an iron-based superconductor. Science 367, 104–108 (2020).
Fujita, K. et al. Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates. Proc. Natl Acad. Sci. U.S.A. 111, E3026–E3032 (2014).
Cho, D., Bastiaans, K. M., Chatzopoulos, D., Gu, G. D. & Allan, M. P. A strongly inhomogeneous superfluid in an iron-based superconductor. Nature 571, 541–545 (2019).
Zhang, Y., Jiang, K., Zhang, F., Wang, J. & Wang, Z. Atomic line defects and topological superconductivity in unconventional superconductors. Phys. Rev. X 11, 011041 (2021).
Lawler, M. J. et al. Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states. Nature 466, 347–351 (2010).
Yim, C. M. et al. Discovery of a strain-stabilised smectic electronic order in LiFeAs. Nat. Commun. 9, 2602 (2018).
Parker, C. V. et al. Fluctuating stripes at the onset of the pseudogap in the high-Tc superconductor Bi2Sr2CaCu2O8+x. Nature 468, 677–680 (2010).
Hart, S. et al. Controlled finite momentum pairing and spatially varying order parameter in proximitized HgTe quantum wells. Nat. Phys. 13, 87–93 (2017).
Zhang, Y. & Wang, Z. Kramers Fulde–Ferrell state and superconducting spin diode effect. Preprint at https://arxiv.org/abs/2209.03520 (2022).
More News
Editorial Expression of Concern: Leptin stimulates fatty-acid oxidation by activating AMP-activated protein kinase – Nature
Quantum control of a cat qubit with bit-flip times exceeding ten seconds – Nature
Venus water loss is dominated by HCO+ dissociative recombination – Nature