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- W4386370018 abstract "After projection to the lowest Landau level translational invariance and particle conservation combine into dipole symmetry. We show that the new symmetry forbids spontaneous U(1) symmetry breaking at zero temperature. In the case of the spatially inhomogeneous magnetic field, where the translational invariance is absent, we show that the dipole symmetry disappears and the constraint on the symmetry breaking is lifted. We pay special attention to the fate of the Girvin-Macdonald-Platzman algebra in the inhomogeneous magnetic field and show that a natural generalization of it is still present even though the dipole symmetry is not." @default.
- W4386370018 created "2023-09-02" @default.
- W4386370018 creator A5052290176 @default.
- W4386370018 date "2023-09-01" @default.
- W4386370018 modified "2023-09-28" @default.
- W4386370018 title "Girvin-Macdonald-Platzman algebra, dipole symmetry, and Hohenberg-Mermin-Wagner theorem in the lowest Landau level" @default.
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- W4386370018 doi "https://doi.org/10.1103/physrevb.108.125102" @default.
- W4386370018 hasPublicationYear "2023" @default.
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