TY - JOUR

T1 - Interaction-dependent anisotropy of fractional quantum Hall states

AU - Krishna, Akshay

AU - Chen, Fan

AU - Ippoliti, Matteo

AU - Bhatt, R. N.

N1 - Funding Information:
The iDMRG calculations were carried out using libraries developed by R. Mong, M. Zaletel and the TenPy collaboration. This work was supported by DOE BES Grant No. DE-SC0002140.

PY - 2019/8/19

Y1 - 2019/8/19

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevB.100.085129

DO - 10.1103/PhysRevB.100.085129

M3 - Article

AN - SCOPUS:85072080934

VL - 100

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 8

M1 - 085129

ER -