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- W2891355957 abstract "We consider a $(2+1)$-dimensional Wilson-Fisher boson coupled to a $(3+1)$-dimensional U(1) gauge field. This theory possesses a strong-weak duality in terms of the coupling constant $e$ and is self-dual at a particular value of $e$. We derive exact relations between transport coefficients for a $ensuremath{nu}=1$ quantum Hall state at the self-dual point. Using boson-fermion duality, we map the $ensuremath{nu}=1$ bosonic quantum Hall state to a Fermi sea of the dual fermion and observe that the exact relationships between transport coefficients at the bosonic self-dual point are reproduced by a simple random-phase approximation (RPA), coupled with a Drude formula, in the fermionic theory. We explain this success of the RPA by pointing out a cancellation of a parity-breaking term in the fermion theory which occurs only at the self-dual point, resulting in the fermion self-dual theory explored previously. In addition, we argue that the equivalence of the self-dual structure can be understood in terms of electromagnetic duality or modular invariance, and these features are not inherited by the nonrelativistic cousins of the present model." @default.
- W2891355957 created "2018-09-27" @default.
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- W2891355957 date "2019-12-31" @default.
- W2891355957 modified "2023-10-16" @default.
- W2891355957 title "Self-dual <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> bosonic quantum Hall state in mixed-dimensional QED" @default.
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- W2891355957 doi "https://doi.org/10.1103/physrevb.100.235150" @default.
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