Discontinuous Euler instability in nanoelectromechanical systems

Abstract

We investigate nanoelectromechanical systems near mechanical instabilities. We show that quite generally, the interaction between the electronic and the vibronic degrees of freedom can be accounted for essentially exactly when the instability is continuous. We apply our general framework to the Euler buckling instability and find that the interaction between electronic and vibronic degrees of freedom qualitatively affects the mechanical instability, turning it into a discontinuous one in close analogy with tricritical points in the Landau theory of phase transitions.

4+ pages, 3 figures, published version

References in corpus (8)

• The structure of suspended graphene sheets
• Ripple Texturing of Suspended Graphene Atomic Membranes
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Franck-Condon blockade in suspended carbon nanotube quantum dots
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• Distortion blockade in classical nano-electromechanical resonator
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Cited by in corpus (22)

• Buckling of Carbon Nanotubes: A State of the Art Review
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• Current-induced switching in transport through anisotropic magnetic molecules
• Fictitious gauge fields in bilayer graphene
• Signatures of the Current Blockade Instability in Suspended Carbon Nanotubes
• Euler buckling instability and enhanced current blockade in suspended single-electron transistors
• Current-induced atomic motion, structural instabilities, and negative temperatures on molecule-electrode interfaces in electronic junctions
• Electro-Mechanical Transition in Quantum dots
• First-passage time theory of activated rate chemical processes in electronic molecular junctions
• Non-Adiabatic Effects of Nuclear Motion in Quantum Transport of Electrons: A Self-Consistent Keldysh-Langevin Study
• Large current noise in nanoelectromechanical systems close to continuous mechanical instabilities
• Cooling molecular electronic junctions by AC current
• Non-linear dynamics of a driven nanomechanical single electron transistor
• Interplay of magneto-elastic and polaronic effects in electronic transport through suspended carbon-nanotube quantum dots
• Experimental signatures of the quantum-classical transition in a nanomechanical oscillator modeled as a damped driven double-well problem
• Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
• Cotunneling, current blockade, and backaction forces in nanobeams close to the Euler buckling instability
• Antiresonant quantum transport in ac driven molecular nanojunctions
• Unidirectional direct current in coupled nanomechanical resonators by tunable symmetry breaking
• The effect of elastic disorder on single electron transport through a buckled nanotube