`2021-04-20 15:45:00``2021-04-20 16:45:00``Colloquium - Philip Phillips (UIUC) - Beyond BCS: An Exact Model for Superconductivity and Mottness``High-temperature superconductivity in the cuprates remains an unsolved problem because the cuprates start off their lives as Mott insulators in which no organizing principle such a Fermi surface can be invoked to treat the electron interactions. Consequently, it would be advantageous to solve even a toy model that exhibits both Mottness and superconductivity. Part of the problem is that the basic model for a Mott insulator, namely the Hubbard model is unsolvable in any dimension we really care about. To address this problem, I will start by focusing on the overlooked Z_2 emergent symmetry of a Fermi surface first noted by Anderson and Haldane. Noting that Mott insulators break this emergent symmetry, I show that the simplest model that suffices to describe Mottness is the Hatsugai-Kohmoto model. This model will then be solved exactly to reveal how superconductivity emerges in a doped Mott insulator, thereby forming a new paradigm for superconductivity in the copper-oxide superconductors. [1] PWP, L. Yeo, E. Huang, Nature Physics, 16, 1175-1180 (2020). Link to talk: https://osu.app.box.com/file/802312755954?s=19c2upfsznooxm0jrlum1j11un00olfw (Will need to copy link and paste to browser)``Zoom webinar``OSU ASC Drupal 8``ascwebservices@osu.edu``America/New_York``public`

`2021-04-20 15:45:00``2021-04-20 16:45:00``Colloquium - Philip Phillips (UIUC) - Beyond BCS: An Exact Model for Superconductivity and Mottness``High-temperature superconductivity in the cuprates remains an unsolved problem because the cuprates start off their lives as Mott insulators in which no organizing principle such a Fermi surface can be invoked to treat the electron interactions. Consequently, it would be advantageous to solve even a toy model that exhibits both Mottness and superconductivity. Part of the problem is that the basic model for a Mott insulator, namely the Hubbard model is unsolvable in any dimension we really care about. To address this problem, I will start by focusing on the overlooked Z_2 emergent symmetry of a Fermi surface first noted by Anderson and Haldane. Noting that Mott insulators break this emergent symmetry, I show that the simplest model that suffices to describe Mottness is the Hatsugai-Kohmoto model. This model will then be solved exactly to reveal how superconductivity emerges in a doped Mott insulator, thereby forming a new paradigm for superconductivity in the copper-oxide superconductors. [1] PWP, L. Yeo, E. Huang, Nature Physics, 16, 1175-1180 (2020). Link to talk: https://osu.app.box.com/file/802312755954?s=19c2upfsznooxm0jrlum1j11un00olfw (Will need to copy link and paste to browser) ``Zoom webinar``Department of Physics``physics@osu.edu``America/New_York``public`High-temperature superconductivity in the cuprates remains an unsolved problem because the cuprates start off their lives as Mott insulators in which no organizing principle such a Fermi surface can be invoked to treat the electron interactions. Consequently, it would be advantageous to solve even a toy model that exhibits both Mottness and superconductivity. Part of the problem is that the basic model for a Mott insulator, namely the Hubbard model is unsolvable in any dimension we really care about. To address this problem, I will start by focusing on the overlooked Z_2 emergent symmetry of a Fermi surface first noted by Anderson and Haldane. Noting that Mott insulators break this emergent symmetry, I show that the simplest model that suffices to describe Mottness is the Hatsugai-Kohmoto model. This model will then be solved exactly to reveal how superconductivity emerges in a doped Mott insulator, thereby forming a new paradigm for superconductivity in the copper-oxide superconductors.

[1] PWP, L. Yeo, E. Huang, Nature Physics, 16, 1175-1180 (2020).

Link to talk: https://osu.app.box.com/file/802312755954?s=19c2upfsznooxm0jrlum1j11un00olfw

(Will need to copy link and paste to browser)