Interlayer tunneling in double-layer quantum Hall pseudo-ferromagnets

We show that the interlayer tunneling I–V in double-layer quantum Hall states displays a rich behavior which depends on the relative magnitude of sample size, voltage length scale, current screening, disorder and thermal lengths. For weak tunneling, we predict a negative differential conductance of a power-law shape crossing over to a sharp zero-bias peak. An in-plane magnetic field splits this zero-bias peak, leading instead to a ``derivative’’ feature at $V_B(B_{\mathrm{\mid }\mathrm{\mid }})=2\pi \mathrm{\hslash }v{B}_{\mathrm{\mid }\mathrm{\mid }}d\mathrm{/}e{\varphi }_0$, which gives a direct measure of the dispersion of the Goldstone mode corresponding to the spontaneous symmetry breaking of the double-layer Hall state.