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DTSTART;TZID=America/New_York:20240510T100000
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DTSTAMP:20260501T221959
CREATED:20240507T190917Z
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UID:10001518-1715335200-1715340600@cmsa.fas.harvard.edu
SUMMARY:From quantum Hall to Hubbard physics in twisted bilayer graphene
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Eslam Khalaf (Harvard) \nTitle: From quantum Hall to Hubbard physics in twisted bilayer graphene \n\nAbstract: Early on it was noticed that twisted bilayer graphene (TBG) has elements in common with two paradigmatic examples of strongly correlated physics: Hubbard physics and quantum Hall physics. On the one hand\, TBG hosts flat topological Landau-level-like bands which realize quantum anomalous Hall states and orbital ferromagnetism under the right conditions. On the other hand\, these bands are characterized by concentrated charge density and show experimental signs of fluctuating magnetism\, and unconventional superconductivty; all characteristics of Hubbard-model-like physics. The emergence of fluctuating moments is particularly surprising\, as localized Wannier states do not exist in topological bands. I will discuss a phenomenological model for the flat bands in TBG that centers the concentration of charge density and\, relatedly\, the concentration of Berry flux. The bands obtained have excellent quantitative agreement with the Bistritzer-Macdonald model for realistic parameters. I will show that\, rather remarkably\, the model hosts decoupled flavor moments which despite being only power-law delocalized with infinite localization length\, have parametrically small overlap with each other. I will show how this unifies many of the observations in TBG and leads to a novel Mott semimetal phase for intermediate temperatures where moments are thermally disordered but charge fluctuations are mostly frozen.
URL:https://cmsa.fas.harvard.edu/event/qm_51024/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-05.10.2024.png
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DTSTART;TZID=America/New_York:20240513T133000
DTEND;TZID=America/New_York:20240513T143000
DTSTAMP:20260501T221959
CREATED:20240509T150634Z
LAST-MODIFIED:20240509T162010Z
UID:10003386-1715607000-1715610600@cmsa.fas.harvard.edu
SUMMARY:Improving Mean-Field Theory for Quantum Magnets
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Junyi Zhang\, Johns Hopkins University \nTitle: Improving Mean-Field Theory for Quantum Magnets \nAbstract: Frustrated magnets have garnered significant attention because of their potential to host exotic spin liquids\, while many real material candidates exhibit magnetic orders.  Due to their proximity to spin liquid phases\, the semiclassical descriptions of these magnetic orders often fall short in capturing their intricate quantum behaviors. In this talk\, I will introduce an improved mean-field method\, named density-matrix mean-field theory (DMMFT)\, for these quantum magnets. Using local reduced density matrix\, DMMFT can systematically incorporate the quantum fluctuations beyond conventional mean-field theories. Notably\, it not only quantitatively evaluates the renormalization of order parameters induced by quantum fluctuations but also has the capability to detect the topological order of quantum phases. DMMFT offers an efficient approach to explore phases displaying unconventional quantum orders\, particularly beneficial for investigating frustrated spin systems in high spatial dimensions. \nRef: https://arxiv.org/abs/2401.06236
URL:https://cmsa.fas.harvard.edu/event/qm_51324/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-05.13.2024.png
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DTSTART;TZID=America/New_York:20240517T103000
DTEND;TZID=America/New_York:20240517T120000
DTSTAMP:20260501T222000
CREATED:20240411T151408Z
LAST-MODIFIED:20240425T140248Z
UID:10001514-1715941800-1715947200@cmsa.fas.harvard.edu
SUMMARY:Love and Naturalness
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Mikhail Ivanov (MIT) \nTitle: Love and Naturalness \nAbstract: Recent progress in gravitational wave astronomy has spurred the development of efficient tools to describe gravitational binary dynamics. One such tool is classical worldline effective field theory (EFT). In the first part of my talk\, I will show how to use this EFT for systematic studies of tidal heating and deformations (Love numbers) of compact objects. I will present a gauge-invariant definition of Love numbers and show how to extract them in a coordinate-independent way from scattering amplitudes of the gravitational Raman process. I will show that the worldline EFT exhibits strong fine-tuning when applied to black holes. This gives rise to a naturalness paradox associated with the vanishing of black hole static Love numbers. In the second part of my talk\, I will present a new symmetry of black holes (Love symmetry) that elegantly resolves this paradox. The Love symmetry is tightly connected to isometries of extremal black holes that appear in many holographic constructions. It also provides a curious example of IR/UV mixing\, which may give insights for other hierarchy problems.
URL:https://cmsa.fas.harvard.edu/event/qm_51724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-04.26.2024.docx-1.png
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