Microscopic origin of collective exponentially small resistance states

Abstract

The formation of "zero" (exponentially small) resistance states (ESRS) in high mobility two-dimensional electron systems (2DES) in a static magnetic field B and subjected to strong microwave (MW) radiation has attracted great theoretical interest. These states appear to be associated with a new kind of energy gap $\Delta$. Here I show that the energy gap $\Delta$ is explained by a microscopic quantum model that involves the Prime Number Theorem, hitherto reserved for only mathematical contexts.

arXiv comment9 pages, submitted to Solid State Communications

References in corpus (5)

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• Resistivity of dilute 2D electrons in an undoped GaAs heterostructure
• New insulating phases of two-dimensional electrons in high Landau levels: observation of sharp thresholds to conduction
• Universal Intermediate Phases of Dilute Electronic and Molecular Glasses
• Resistance Noise Scaling in a Dilute Two-Dimensional Hole System in GaAs

Cited by in corpus (16)

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• Radiation induced oscillatory Hall effect in high mobility GaAs/AlGaAs devices
• Multiphoton processes in microwave photoresistance of 2D electron system
• Radiation-induced oscillatory-magnetoresistance in a tilted magnetic field in $GaAs/A{l}_{x}G{a}_{1-x}As$ devices
• Radiation induced zero-resistance states in GaAs/AlGaAs heterostructures: Voltage-current characteristics and intensity dependence at the resistance minima
• Theory of the microwave induced zero resistance states in two-dimensional electron systems
• Radiation induced zero-resistance states: a dressed electronic structure effect
• Bichromatic Microwave Photoresistance of Two-Dimensional Electron System
• Degenerate states of narrow semiconductor rings in the presence of spin orbit coupling: Role of time-reversal and large gauge transformations
• Radiation-induced zero-resistance states with resolved Landau levels
• Microwave photoresistance of a high-mobility two-dimensional electron gas in a triangular antidot lattice
• Photo-excited zero-resistance states in the GaAs/AlGaAs system
• Role of interference in MM-wave driven DC transport in two dimensional electron gas
• Spin characterization and control over the regime of radiation-induced zero-resistance states