TY - JOUR

T1 - Composite fermion hofstadter problem

T2 - Partially polarized density wave states in the ν = 2/5 fractional quantum hall effect

AU - Murthy, Ganpathy

PY - 2000

Y1 - 2000

N2 - It is well known that the ν = 2/5 state is unpolarized at zero Zeeman energy, while it is fully polarized at large Zeeman energies. A novel state with a charge/spin density wave order for composite fermions is proposed to exist at intermediate values of the Zeeman coupling for ν = 2/5. This state has half the maximum possible polarization, and can be extended to other incompressible fractions. A Hartree-Fock calculation based on the new approach for all fractional quantum Hall states developed by R. Shankar and the author is used to demonstrate the stability of this state to single-particle excitations and to compute gaps. A very recent experiment shows direct evidence for this state.

AB - It is well known that the ν = 2/5 state is unpolarized at zero Zeeman energy, while it is fully polarized at large Zeeman energies. A novel state with a charge/spin density wave order for composite fermions is proposed to exist at intermediate values of the Zeeman coupling for ν = 2/5. This state has half the maximum possible polarization, and can be extended to other incompressible fractions. A Hartree-Fock calculation based on the new approach for all fractional quantum Hall states developed by R. Shankar and the author is used to demonstrate the stability of this state to single-particle excitations and to compute gaps. A very recent experiment shows direct evidence for this state.

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U2 - 10.1103/PhysRevLett.84.350

DO - 10.1103/PhysRevLett.84.350

M3 - Article

AN - SCOPUS:0001635273

SN - 0031-9007

VL - 84

SP - 350

EP - 353

JO - Physical Review Letters

JF - Physical Review Letters

IS - 2

ER -