Revision 2

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Title · changed: Revision 1: Does partial edge equilibration explain the $5/2$ thermal Hall value; Revision 2: Does partial edge equilibration explain the $5/2$ thermal Hall value?
Plain: The measured heat flow along the $5/2$ edge might fit the anti-Pfaffian theory if some edge channels do not exchange heat over the length of the device.
Precise: Test whether $\kappa_{xy} = (5/2) \kappa_0$ at $\nu = 5/2$ arises from an anti-Pfaffian edge whose thermal equilibration length $l_{\mathrm{eq}}$ exceeds the device edge length $L$. This scenario predicts $\kappa_{xy}$ depends on $L/l_{\mathrm{eq}}$ and crosses over toward $(3/2) \kappa_0$ for $L >> l_{\mathrm{eq}}$. An answer is $\kappa_{xy}(L)$ over a range of $L$ spanning $l_{\mathrm{eq}}$.
Settled by: Thermal Hall measurements on $5/2$ devices with edge lengths varied by an order of magnitude at fixed temperature.
Kind: well-posed
Answer type: yes-no
References: (empty)
Literature status: open
Status note: (empty)
Posed since: 2018

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