8 citations · 15 across the 3 of their papers we have counts for
7 papers · 1 filter
Anisotropic quantum Hall states in the presence of interactions with fourfold rotational symmetry
Prashant Kumar, R. N. Bhatt
We study the effects of anisotropic interactions in the quantum Hall effect in the presence of a fourfold discrete rotational () symmetry. Employing the density matrix renorma…
Composite Fermion Nonlinear Sigma Models
Chao-Jung Lee, Prashant Kumar, Michael Mulligan
We study the integer quantum Hall plateau transition using composite fermion mean-field theory. We show that the topological term in the associated nonlinear sigma model [P.…
Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
Kevin S. Huang, S. Raghu, Prashant Kumar
We study the critical properties of the non-interacting integer quantum Hall to insulator transition (IQHIT) in a "dual" composite-fermion (CF) representation. A key advantage of t…
Self-duality of the integer quantum Hall to insulator transition: composite fermion description
Prashant Kumar, Yong Baek Kim, S. Raghu
The integer quantum Hall to insulator transition (IQHIT) is a paradigmatic quantum critical point. Key aspects of this transition, however, remain mysterious, due to the simultaneo…
Emergent reflection symmetry from non-relativistic composite fermions
Prashant Kumar, Michael Mulligan, S. Raghu
A recent experimental study [Pan et al., arXiv: 1902.10262] has shown that fractional quantum Hall effect gaps are essentially consistent with particle-hole symmetry in the lowest…
Why is the HLR theory particle-hole symmetric?
Prashant Kumar, Michael Mulligan, S. Raghu
Long wavelength descriptions of a half-filled lowest Landau level () must be consistent with the experimental observation of particle-hole (PH) symmetry. The traditional de…