Scanning Capacitance Microscopy in the Quantum Hall Regime

This thesis discusses the development of a novel scanning capacitance microscope (SCM) that enables the investigation of the local capacitance and conductivity of surfaces and near-surface nanostructures at cryogenic temperatures and high magnetic fields. Simultaneous atomic force microscopy (AFM)...

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Main Author: Suddards, Matthew Edmund
Format: Thesis (University of Nottingham only)
Language:English
Published: 2007
Subjects:
Online Access:https://eprints.nottingham.ac.uk/10356/
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author Suddards, Matthew Edmund
author_facet Suddards, Matthew Edmund
author_sort Suddards, Matthew Edmund
building Nottingham Research Data Repository
collection Online Access
description This thesis discusses the development of a novel scanning capacitance microscope (SCM) that enables the investigation of the local capacitance and conductivity of surfaces and near-surface nanostructures at cryogenic temperatures and high magnetic fields. Simultaneous atomic force microscopy (AFM) and SCM measurements can be made at a temperature of 1.5K and a magnetic field of 12T. The AFM/SCM sensor is based on a quartz-tuning fork with an etched metal tip. SCM measurements are made using an RF tuned filter design which allows changes in capacitance to be measured with sub-attofarad resolution and a bandwidth of 200Hz. Test measurements were made over an evaporated gold film. The capacitance distance curve was recovered from the measured quantities using a deconvolution scheme normally used for force-distance curves. Measurements have been made of a two-dimensional electron gas in the quantum Hall effect (QHE) regime. Highly conductive stripes form near the edge of the sample at integer Landau level filling factors in agreement with theoretical predictions. These measurements are the first direct imaging of the compressible stripes at the physical edge of a Hall bar device. Measurements were also made by point spectroscopy in a region that was locally depleted. Around this region a ring-shaped stripe of considerably larger width than at the sample edge is observed. The increased width was explained in terms of a shallower potential gradient compared to the physical edge of the sample. Preliminary measurements have demonstrated that the microscope is capable of imaging edge states whilst passing current through the device.
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format Thesis (University of Nottingham only)
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institution University of Nottingham Malaysia Campus
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language English
last_indexed 2025-11-14T18:22:38Z
publishDate 2007
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spelling nottingham-103562025-02-28T11:07:59Z https://eprints.nottingham.ac.uk/10356/ Scanning Capacitance Microscopy in the Quantum Hall Regime Suddards, Matthew Edmund This thesis discusses the development of a novel scanning capacitance microscope (SCM) that enables the investigation of the local capacitance and conductivity of surfaces and near-surface nanostructures at cryogenic temperatures and high magnetic fields. Simultaneous atomic force microscopy (AFM) and SCM measurements can be made at a temperature of 1.5K and a magnetic field of 12T. The AFM/SCM sensor is based on a quartz-tuning fork with an etched metal tip. SCM measurements are made using an RF tuned filter design which allows changes in capacitance to be measured with sub-attofarad resolution and a bandwidth of 200Hz. Test measurements were made over an evaporated gold film. The capacitance distance curve was recovered from the measured quantities using a deconvolution scheme normally used for force-distance curves. Measurements have been made of a two-dimensional electron gas in the quantum Hall effect (QHE) regime. Highly conductive stripes form near the edge of the sample at integer Landau level filling factors in agreement with theoretical predictions. These measurements are the first direct imaging of the compressible stripes at the physical edge of a Hall bar device. Measurements were also made by point spectroscopy in a region that was locally depleted. Around this region a ring-shaped stripe of considerably larger width than at the sample edge is observed. The increased width was explained in terms of a shallower potential gradient compared to the physical edge of the sample. Preliminary measurements have demonstrated that the microscope is capable of imaging edge states whilst passing current through the device. 2007 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/10356/1/Thesis_final.pdf Suddards, Matthew Edmund (2007) Scanning Capacitance Microscopy in the Quantum Hall Regime. PhD thesis, University of Nottingham. AFM Quantum hall effect SCM capacitance
spellingShingle AFM
Quantum hall effect
SCM
capacitance
Suddards, Matthew Edmund
Scanning Capacitance Microscopy in the Quantum Hall Regime
title Scanning Capacitance Microscopy in the Quantum Hall Regime
title_full Scanning Capacitance Microscopy in the Quantum Hall Regime
title_fullStr Scanning Capacitance Microscopy in the Quantum Hall Regime
title_full_unstemmed Scanning Capacitance Microscopy in the Quantum Hall Regime
title_short Scanning Capacitance Microscopy in the Quantum Hall Regime
title_sort scanning capacitance microscopy in the quantum hall regime
topic AFM
Quantum hall effect
SCM
capacitance
url https://eprints.nottingham.ac.uk/10356/