Related Experiment Video
Updated: Jul 1, 2026

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
Published on: June 28, 2016
Reappraisal of variable-range hopping in quantum-dot solids
Arjan J Houtepen1, Daan Kockmann, Daniël Vanmaekelbergh
1Condensed Matter and Interfaces, Debye Institute, Utrecht University, PO Box 80.000, 3508 TA Utrecht, The Netherlands. a.j.houtepen@tudelft.nl
Electrical conductivity in zinc oxide (ZnO) nanocrystals follows a unique temperature dependence, unexplained by current models. A modified hopping model accurately describes this behavior across various conditions.
Area of Science:
- Condensed matter physics
- Materials science
- Nanotechnology
Background:
- Electrical conductivity in nanomaterials is crucial for electronic applications.
- Existing models fail to explain the observed temperature dependence in ZnO nanocrystals.
- Previous studies on gold (Au) nanocrystals showed similar anomalous behavior.
Purpose of the Study:
- To investigate the temperature dependence of electrical conductivity in zinc oxide (ZnO) nanocrystal assemblies.
- To develop a theoretical model that accurately describes the experimental findings.
- To understand the underlying charge transport mechanisms in ZnO nanocrystals.
Main Methods:
- Utilizing an electrochemically gated transistor setup to study ZnO nanocrystal assemblies.
- Analyzing the temperature dependence of electrical conductivity from 7 to 200 K.
- Adapting the Efros-Shklovskii variable-range hopping model.
Main Results:
- The electrical conductivity exhibited a precise temperature dependence described by ln sigma = ln sigma0 - (T0/T)(x) with x=2/3.
- This relationship held true across the entire temperature range, irrespective of charge concentration or dielectric environment.
- The proposed model, incorporating nonresonant tunneling via local energy fluctuations, successfully explained the experimental observations.
Conclusions:
- The study reveals a novel charge transport mechanism in ZnO nanocrystals.
- The adapted Efros-Shklovskii model provides a robust explanation for the observed temperature dependence.
- Findings offer insights into the fundamental physics governing charge transport in disordered nanomaterials.
Related Concept Videos
Energy Bands in Solids
Band Formation:
When atoms are brought close together, as in a solid, these discrete energy levels begin to split due to the overlap of electron orbitals from adjacent atoms. This split occurs because of the Pauli exclusion principle, which states that no two...
The de Broglie Wavelength
Quantum Numbers
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
π Electron Effects on Chemical Shift: Overview
Trends in Lattice Energy: Ion Size and Charge

