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| Fältnamn | Indikatorer | Metadata |
|---|---|---|
| 000 | 04542naa a2200409 4500 | |
| 001 | oai:DiVA.org:kth-335257 | |
| 003 | SwePub | |
| 008 | 230904s2023 | |||||||||||000 ||eng| | |
| 009 | oai:DiVA.org:su-220994 | |
| 024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3352572 URI |
| 024 | 7 | a https://doi.org/10.21468/SciPostPhys.15.2.0432 DOI |
| 024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-2209942 URI |
| 040 | a (SwePub)kthd (SwePub)su | |
| 041 | a engb eng | |
| 042 | 9 SwePub | |
| 072 | 7 | a ref2 swepub-contenttype |
| 072 | 7 | a art2 swepub-publicationtype |
| 100 | 1 | a Ahari, Mostafa Tanhayiu Department of Physics, Indiana University, Bloomington, IN 47405, USA; Department of Physics and Astronomy, University of California, Los Angeles, CA 90095, USA4 aut |
| 245 | 1 0 | a Partons as unique ground states of quantum Hall parent Hamiltonians :b The case of Fibonacci anyons |
| 264 | 1 | b Stichting SciPost,c 2023 |
| 338 | a print2 rdacarrier | |
| 500 | a QC 20230904 | |
| 520 | a We present microscopic, multiple Landau level, (frustration-free and positive semi-definite) parent Hamiltonians whose ground states, realizing different quantum Hall fluids, are parton-like and whose excitations display either Abelian or non-Abelian braiding statistics. We prove ground state energy monotonicity theorems for systems with different particle numbers in multiple Landau levels, demonstrate S-duality in the case of toroidal geometry, and establish complete sets of zero modes of special Hamiltonians stabilizing parton-like states, specifically at filling factor ν = 2/3. The emergent Entangled Pauli Principle (EPP), introduced in Phys. Rev. B 98, 161118(R) (2018) and which defines the “DNA” of the quantum Hall fluid, is behind the exact determination of the topological characteristics of the fluid, including charge and braiding statistics of excitations, and effective edge theory descriptions. When the closed-shell condition is satisfied, the densest (i.e., the highest density and lowest total angular momentum) zero-energy mode is a unique parton state. We conjecture that parton-like states generally span the subspace of many-body wave functions with the two-body M-clustering property within any given number of Landau levels, that is, wave functions with Mth-order coincidence plane zeroes and both holomorphic and anti-holomorphic dependence on variables. General arguments are supplemented by rigorous considerations for the M = 3 case of fermions in four Landau levels. For this case, we establish that the zero mode counting can be done by enumerating certain patterns consistent with an underlying EPP. We apply the coherent state approach of Phys. Rev. X 1, 021015 (2011) to show that the elementary (localized) bulk excitations are Fibonacci anyons. This demonstrates that the DNA associated with fractional quantum Hall states encodes all universal properties. Specifically, for parton-like states, we establish a link with tensor network structures of finite bond dimension that emerge via root level entanglement. | |
| 650 | 7 | a NATURVETENSKAPx Matematikx Matematisk analys0 (SwePub)101012 hsv//swe |
| 650 | 7 | a NATURAL SCIENCESx Mathematicsx Mathematical Analysis0 (SwePub)101012 hsv//eng |
| 650 | 7 | a NATURVETENSKAPx Fysikx Annan fysik0 (SwePub)103992 hsv//swe |
| 650 | 7 | a NATURAL SCIENCESx Physical Sciencesx Other Physics Topics0 (SwePub)103992 hsv//eng |
| 700 | 1 | a Bandyopadhyay, Sumanta,d 1990-u Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Nordita SU; Department of Physics, Washington University in St. Louis, USA4 aut0 (Swepub:su)suba3259 |
| 700 | 1 | a Nussinov, Zoharu Department of Physics, Washington University in St. Louis, USA4 aut |
| 700 | 1 | a Seidel, Alexanderu Department of Physics, Washington University in St. Louis, USA4 aut |
| 700 | 1 | a Ortiz, Gerardou Department of Physics, Indiana University, Bloomington, IN 47405, USA4 aut |
| 710 | 2 | a Department of Physics, Indiana University, Bloomington, IN 47405, USA; Department of Physics and Astronomy, University of California, Los Angeles, CA 90095, USAb Nordiska institutet för teoretisk fysik (Nordita)4 org |
| 773 | 0 | t SciPost Physicsd : Stichting SciPostg 15:2q 15:2x 2542-4653 |
| 856 | 4 | u https://doi.org/10.21468/SciPostPhys.15.2.043y Fulltext |
| 856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-335257 |
| 856 | 4 8 | u https://doi.org/10.21468/SciPostPhys.15.2.043 |
| 856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-220994 |
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