Diophantine equation of SU(Q) topological pump

Diophantine equation of SU(Q) topological pump

A topological pump of SU(Q) interacting fermions is proposed based on Affleck's SU(Q) quantum chains associated with a symmetric breaking term characterized by a parameter P/Q with co-prime intege...
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JPS Spring Meeting 2023

Meeting site
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APS March meeting 2023

APS March meeting, March 5–10, 2023 | Las Vegas, Nevada March 20–22, 2023 | Virtual Emergence of the non-Hermitian topology in generalized eigenvalue problems with Hermitian matrices Mon. March 6, 11:...
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Graphene, silicene and martini

Graphene, silicene and martini

Chemisorption on graphene and silicene may realize Martini type π-electron network. It implies specific band dispersion. We propose potential materialization by using the molecular orbital constr...
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Array of Martini glasses with topology

Array of Martini glasses with topology

Taking a square root is not trivial. The Dirac equation is invented by the square root of the Kleind-Gordon equation. Then the lattice analog of the operation implies non-trivial topology and edge/cor...
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Novel critical states in random U(1) MO models in 2D

Novel critical states in random U(1) MO models in 2D

Using a molecular orbital (MO) construction scheme of the flat band which we are proposing, we found novel random critical states in a series of flat band systems away from the flat band energy. The M...
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Anyon superconductivity revisited : talk by Koji Kudo

Next Wednesday,  Feb. 15 (2023), Koji Kudo (Penn state) visits us and will be telling on anyon superconductivity. The talk is hybrid. For the zoom link, contact me (email). Speaker: Koji Kudo Pennsylv...
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Topological strucure can be fragile against interactions

Topological strucure can be fragile against interactions

Topological protection of singularities for the non-Hermitian problem is one of the recent focuses in condensed matter physics. Exceptional points and rings with symmetry constraints are typical examp...
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Seminar by Tonomari Mizoguchi

Coming Wed. afternoon, 13:00, Dec.14, Tomonari Mizoguchi (Univ. Tsukuba) will be telling us about his work in collaboration with N. Okuma (Kyoto Univ.). The seminar is in a hybrid format. Please conta...
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Reduction of non-Hermitian 1D topology with interaction

Reduction of non-Hermitian 1D topology with interaction

Topological protection for topological systems may change by the inclusion of particle-particle interaction, which is known as "reduction phenomena." Here we have pointed out its possibiliti...
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TTQM2022

TTQM2022

Swiss-Japan bilateral workshop "Trends in the Theory of Quantum Materials 2022 (TTQM2022)" @ ETH, Zurich, is ready after a three-year break due to COVID-19. Thanks for the arrangement!
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Bulk-edge correspondence in electric circuits of topological pump

Bulk-edge correspondence in electric circuits of topological pump

One of the recent wisdom for topological phases is the use of a classical system as a quantum simulator. The Hofstadter butterfly associated with topological phase transitions is realized in electric ...
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Localization 2022

Localisation 2022 T. Mizoguchi and Y. Hatsugai, "Gap opening and emergent critical states in a random-phase molecular-orbital model", Localisation 2022, Aug.25-30 (2022) T. Kuroda, T. Mizogu...
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Adiabatic connection with spin

Adiabatic connection with spin

Adiabatic connection of the gapped many-body states is a conceptual background of the topological phases. Historical and more than successful examples are given by various fractional quantum Hall stat...
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BEC seminar by Koji Kudo, Aug.10, 2022

BEC seminar by Koji Kudo, Aug.10, 2022

On Aug.10 (Wed) 2022 at 11:am Japan time, Koji Kudo at Penn State will be telling us about his recent study by a title : "Exactly solvable model for non-Abelian quasiparticle states." Join u...
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“b 2– 4 ac” formula with rotation symmetry

“b 2– 4 ac” formula with rotation symmetry

The discriminant is a generalization of the "b 2- 4 ac" formula that everybody knows, which tells us the degeneracy of the (secular) equation. Then it is natural the discriminant is useful f...
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Random flatbands are special

Random flatbands are special

Recent wisdom for the construction of flat bands is applicable even with randomness. Characterization of special features of the random flat bands has been successfully done by using machine learning....
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APS March meeting 2022

APS March meeting, March 14-18 2022, Chicago USA Fractional charge pumping of anyons and the adiabatic heuristic principle Wed, March 16, 8:06 a.m.—8:18 a.m. Presenter: Koji Kudo(University of Tsukuba...
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Heat escapes fast due to bulk-edge correspondence

Heat escapes fast due to bulk-edge correspondence

Analyzing a diffusion equation of alternative metals, rapid heat conduction to the heat bath due to edge states is predicted. The edge states are predicted by the bulk topological invariant as a typic...
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Exact correlation of correlation

Exact correlation of correlation

Once one admits the electronic state is described by the molecular-orbitals (MOs), the system has flat bands when the number of MOs is less than the total number of atoms. Then it is natural the elect...
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