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Interaction-dependent anisotropy of fractional quantum Hall states

Author(s): Krishna, A; Chen, F; Ippoliti, M; Bhatt, Ravindra N

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Abstract: In the absence of rotational symmetry, a fractional quantum Hall (FQH) system can exploit a geometric degree of freedom to minimize its ground-state energy. The mass anisotropy of bare particles interacting isotropically is partially inherited by the many-body FQH state, to an extent that depends on the type of interaction, filling fraction, and ground-state phase. Using numerical infinite density matrix renormalization group simulations, we investigate the transference of elliptical (C2-symmetric) anisotropy from the band mass of the bare particles to the FQH states, for various power-law interactions. We map out the response of FQH states to small anisotropy as a function of power-law exponent, filling, and statistics (bosonic or fermionic) of the constituents. Interestingly, we find a nonanalyticity in the linear response of the FQH state at a special filling-dependent value of the power-law exponent, above which the interactions effectively become zero-range (pointlike). We also investigate the effect of C4-symmetric band distortions, where we observe a strikingly different dependence on filling.
Publication Date: 2019
Citation: Krishna, A, Chen, F, Ippoliti, M, Bhatt, RN. (2019). Interaction-dependent anisotropy of fractional quantum Hall states. Physical Review B, 100 (10.1103/PhysRevB.100.085129
DOI: doi:10.1103/PhysRevB.100.085129
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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