In striped quantum Hall phases, the relationship is slightly more complex, because of the broken symmetry: { σ σ 1 σ σ 2 + ( σ σ h − − σ σ h 0 ) 2 = ( e 2 / ( 2 h ) ) 2 σ σ h 0 = ( N + 1 / 2 ) e 2 / h Here σ 1 and σ 2 describe the macroscopic conductivity in directions aligned with and perpendicular to the stripes.