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The spatial modulation of the Fermi velocity for gapless Dirac electrons in quantum materials is mathematically equivalent to the problem of massless fermions on a certain class of curved spacetime manifolds.
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For a review, see e.g. K. Fujita, A. R. Schmidt, E.-A. Kim, M. J. Lawler, H. Eisaki, S. Uchida, D.-H. Lee, and J. C. Davis, Spectroscopic Imaging STM Studies of Electronic Structure in Both the Superconducting and Pseudogap Phases of Underdoped Cuprates
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2017
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M. Leroux, V. Mishra, J. P. C. Ruff, H. Claus, M. P. Smylie, C. Opagiste, P. Rodière, A. Kayani, G. D. Gu, J. M. Tranquada, W.-K. Kwok, Z. Islam, and U. Welp, Disorder raises the critical temperature of a cuprate superconductor
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S. A. A. Ghorashi, J. F. Karcher, S. M. Davis, and M. S. Foster, Criticality across the energy spectrum from random, artificial gravitational lensing in two-dimensional Dirac Superconductors
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2020
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C. De Beule, S. Groenendijk, T. Meng, and T. L. Schmidt, Artificial event horizons in Weyl semimetal heterostructures and their non-equilibrium signatures
2021
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2021
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