A dc voltage step-up transformer based on a bi-layer \nu=1 quantum Hall system
B. I. Halperin, Ady Stern, S. M. Girvin

TL;DR
This paper proposes a novel DC voltage step-up transformer design utilizing a bilayer quantum Hall system in the (111) phase, analyzing current flow and voltage behavior for potential electronic applications.
Contribution
It introduces a new transformer concept based on quantum Hall bilayer systems and provides analysis methods for device operation.
Findings
Designs can achieve output voltages higher than input.
Analysis of current flow and voltage distribution in the device.
Potential for quantum Hall-based electronic components.
Abstract
A bilayer electron system in a strong magnetic field at low temperatures, with total Landau level filling factor nu =1, can enter a strongly coupled phase, known as the (111) phase or the quantum Hall pseudospin-ferromagnet. In this phase there is a large quantized Hall drag resistivity between the layers. We consider here structures where regions of (111) phase are separated by regions in which one of the layers is depleted by means of a gate, and various of the regions are connected together by wired contacts. We note that with suitable designs, one can create a DC step-up transformer where the output voltage is larger than the input, and we show how to analyze the current flows and voltages in such devices.
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