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The nonlinear supermatrix $\sigma $-model is widely used to understand the physics of Anderson localization and the level statistics in noninteracting disordered electron systems.
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Y.i Gu, X.-L. Qi, D. Stanford, Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
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S. Banerjee and E. Altman, Solvable model for a dynamical quantum phase transition from fast to slow scrambling
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2004
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T. Sedrakyan and A. Ossipov, Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder
2004
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P. Fendley and K. Schoutens, Exact Results for Strongly Correlated Fermions in 2+1 Dimensions
2005
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T. Sedrakyan, Toda lattice representation for random matrix model with logarithmic confinement
2005
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O. Yevtushenko and A. Ossipov, A supersymmetry approach to almost diagonal random matrices
2007
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L. Huijse, J. Halverson, P. Fendley, and K. Schoutens, Charge Frustration and Quantum Criticality for Strongly Correlated Fermions
2008
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A. M. Garcia-Garcia and E. Cuevas, Differentiable potentials and metallic states in disordered one-dimensional systems
2009
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2017
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X.-Y. Song, C.-M. Jian, and L. Balents, Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models
2017
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X. Chen, R. Fan, Y. Chen, H. Zhai, and P. Zhang, Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
2017
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P. Zhang, Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos
2017
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W. Fu, D. Gaiotto, J. Maldacena, and S. Sachdev, Supersymmetric Sachdev-Ye-Kitaev models
2017
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Jeff Murugan, Douglas Stanford, and Edward Witten, More on supersymmetric and 2d analogs of the SYK model
2017
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T. A. Sedrakyan, and K. B. Efetov, Superbosonization in disorder and chaos: Role of anomalies
2017
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Yi-Zhuang You, Andreas W. W. Ludwig, and Cenke Xu, Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
2017
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Tianlin Li, Junyu Liu, Yuan Xin, and Yehao Zhou, Supersymmetric SYK model and random matrix theory
2017
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Jordan Cotler, Nicholas Hunter-Jones, Junyu Liu, and Beni Yoshida, Chaos, complexity, and random matrices
2017
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A. del Campo, J. Molina-Vilaplana, and J. Sonner, Scrambling the spectral form factor: Unitarity constraints and exact results
2017
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A. Kitaev and S. J. Suh, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
2018
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A. V. Lunkin, K. S. Tikhonov, and M. V. Feigel’man Sachdev-Ye-Kitaev Model with Quadratic Perturbations: The Route to a Non-Fermi Liquid
2018
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A. Altland, and D. Bagrets, Quantum ergodicity in the SYK model
2018
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C. Liu, X. Chen, and L. Balents, Quantum entanglement of the Sachdev-Ye-Kitaev models
2018
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D.V. Khveshchenko, Thickening and sickening the SYK model
2018
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D.V. Khveshchenko, Condens. Matter 3(4), 40 (2018)
2018
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A. Haldar and V. B. Shenoy, Strange half-metals and Mott insulators in Sachdev-Ye-Kitaev models
2018
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A. Haldar, S. Banerjee, and V. B. Shenoy, Higher-dimensional Sachdev-Ye-Kitaev non-Fermi liquids at Lifshitz transitions
2018
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W. Cai, X.-H. Ge, and G.-H. Yang, Diffusion in higher dimensional SYK model with complex fermions
2018
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Y.Zhong, Periodic Anderson model meets Sachdev-Ye-Kitaev interaction: A solvable playground for heavy fermion physics
2018
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N. Hunter-Jones and J. Liu, Chaos and random matrices in supersymmetric SYK
2018
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A. Altland, D. Bagrets, and A. Kamenev, Sachdev-Ye-Kitaev Non-Fermi-Liquid Correlations in Nanoscopic Quantum Transport
2019
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A. Altland, D. Bagrets, and A. Kamenev, Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter
2019
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M. Haque and P. A. McClarty, Eigenstate Thermalization Scaling in Majorana Clusters: from Chaotic to Integrable Sachdev-Ye-Kitaev Models
2019
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Yichen Huang and Yingfei Gu, Eigenstate entanglement in the Sachdev-Ye-Kitaev model
2019
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A. M. Garcia-Garcia, and M. Tezuka, Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
2019
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X. Dai, S.-K. Jian, H. Yao, Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite
2019
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J. Murugan and H. Nastase, One-dimensional bosonization and the SYK model
2019
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T. Micklitz, Felipe Monteiro, and Alexander Altland, Nonergodic Extended States in the Sachdev-Ye-Kitaev Model
2019
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Debanjan Chowdhury and Erez Berg, Intrinsic superconducting instabilities of a solvable model for an incoherent metal
2020
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