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There's Plenty of Room in Higher Dimensions - Nonlinear Dynamics of Nanoelectromechanical Systems
Doktorsavhandling, 2017

nonresonant actuation

quantum dots

NEMS

internal resonance

superconductivity

nonlinear dynamics

## Författare

### Martin Eriksson

Chalmers, Fysik, Kondenserade materiens teori

### Nonresonant high-frequency excitation of mechanical vibrations in a movable quantum dot

New Journal of Physics,; Vol. 17(2015)p. Art. nr. 113057-

**Artikel i vetenskaplig tidskrift**

### Selective nonresonant excitation of vibrational modes in suspended graphene via vibron-plasmon interaction

2D Materials,; Vol. 2(2015)

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### Zero-Phase-Difference Josephson Current Based on Spontaneous Symmetry Breaking via Parametric Excitation of a Movable Superconducting Dot

Physical Review Letters,; Vol. 118(2017)p. 197701-

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### Nonresonant high frequency excitation of mechanical vibrations in a graphene based nanoresonator

New Journal of Physics,; Vol. 17(2015)

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### Nanoelectromechanical Heat Engine Based on Electron-Electron Interaction

Physical Review Letters,; Vol. 117(2016)

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### Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators

Nanotechnology,; Vol. 24(2013)p. srt. no. 395702-

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### Energy-dependent path of dissipation in nanomechanical resonators

Nature Nanotechnology,; Vol. 12(2017)p. 631-636

**Artikel i vetenskaplig tidskrift**

This thesis uses analytical methods from nonlinear dynamics in order to understand the response of nanoelectromechanical systems (NEMS). These systems are typically made of tiny suspended beams or membranes which are about one nanometer thick, a 100'000 times smaller than a human hair. NEMS can be utilized for instance for sensor applications and nanoelectronics.

In NEMS, researchers take advantage of the interaction between mechanical motion of the suspended structure and the flow of electrons. The suspended structure can be forced to vibrate by pulling electrons in and out of the structure by means of electric fields. These vibrations are similar to the vibrations of a guitar string or a drum. There are several ways to actuate mechanical oscillations. One option is direct resonance which is what we utilize when we push a child on a swing.

In the research presented in this thesis, we investigated how NEMS can be mechanically actuated by nonresonant techniques. In particular, actuation can be achieved if the electric field is so fast that there is a pronounced delay in the electron response. We also studied how heat can be converted to mechanical energy by utilizing the interaction between electrons, and how mechanical actuation can be used to generate superconducting currents.

Furthermore, exotic nonlinear response can be observed in NEMS if they are properly tuned. Different kinds of vibrations (modes) will then be strongly coupled and combinations of modes can be selectively addressed thanks to the extraordinary parameters of the systems. Especially when two or more modes are coupled, the complexity of the dynamics drastically increases because of the increased dimensionality of the corresponding mathematical equations. One aim of nonlinear nanomechanics is to understand and utilize this complex dynamical response.

An important conclusion of this thesis is that interesting dynamical regions might not be observed by standard experiments. However, nonlinear modeling can provide maps which reveal ''hidden'' regions. Such maps can guide researchers to experimentally find the hidden regions.

The famous physicist Richard Feynman stated that ''There's plenty of room at the bottom'' referring to the forthcoming field of nanoscience. From the advances in coupled nanoresonators, it can be concluded that there's also plenty of room in higher dimensions.

### Styrkeområden

Nanovetenskap och nanoteknik (SO 2010-2017, EI 2018-)

### Ämneskategorier

Fysik

Annan fysik

Den kondenserade materiens fysik

### Fundament

Grundläggande vetenskaper

### ISBN

978-91-7597-613-6

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 4294

### Utgivare

Chalmers tekniska högskola

PJ-salen, Origo, Fysikgården 1

Opponent: Prof. Wolfgang Belzig, Department of Physics, University of Konstanz, Germany