Scanning Tunneling Microscope - Interactive Visualization

Interactive visualization of quantum tunneling and atomic-resolution imaging

STM Setup

Tunneling Current I: 0.00 nA
Tip-Sample Distance d: 0.50 nm
Bias Voltage V: 0.10 V

Quantum Tunneling

Decay Constant κ: 10.5 nm⁻¹
Transmission Probability: 0.00 ×10⁻³
Barrier Width: 0.50 nm

Raster Scan Pattern

Current Position Scan Path

Atomic Resolution Image

Instrument Parameters

Operation Mode

Electronic Parameters

Tip Parameters

Display Options

Quick Presets

STM Equations

Tunneling Current: I ∝ V·ρ_s(E_F)·ρ_t(E_F)·e^(-2κd)
Decay Constant: κ = √(2mφ/ħ²) ≈ 5-15 nm⁻¹
Transmission Probability: T ≈ e^(-2κd)
Constant Current Mode: z(x,y) ∝ surface topography
Constant Height Mode: I(x,y) ∝ local density of states
Spectroscopy (dI/dV): dI/dV ∝ ρ_s(E_F + eV)

What is STM?

The Scanning Tunneling Microscope (STM), invented by Gerd Binnig and Heinrich Rohrer in 1981, was the first technique to achieve real-space atomic resolution imaging. It works based on quantum tunneling - when a sharp metallic tip is brought within ~1 nm of a conducting surface, electrons can tunnel across the vacuum gap between them. By scanning the tip across the surface and monitoring the tunneling current, STM can map surface topography with atomic resolution (0.1 nm lateral, 0.01 nm vertical). This revolutionary invention earned Binnig and Rohrer the 1986 Nobel Prize in Physics.

Working Principle

Quantum Tunneling: Electrons behave as quantum mechanical waves that can penetrate classically forbidden barriers. When a bias voltage V is applied between tip and sample, electrons tunnel through the vacuum barrier with probability T ≈ exp(-2κd), where κ is the decay constant and d is the tip-sample distance.
Exponential Sensitivity: The tunneling current I depends exponentially on distance: I ∝ V·exp(-2κd). This extreme sensitivity (current changes by factor of 10 for 0.1 nm change) enables atomic resolution.
Two Operation Modes: In constant current mode, feedback adjusts tip height to maintain fixed current, mapping surface topography. In constant height mode, tip height is fixed and current variations map electronic density of states.
Requirements: Conducting samples, ultra-high vacuum (~10⁻¹⁰ mbar), vibration isolation (<0.01 nm), sharp tip (ideally single atom at apex).

Instrument Design

Tip Preparation: Electrochemically etched metal wires (W, Pt-Ir) with apex radius <10 nm. Tips can be treated to obtain single-atom termination for highest resolution.
Scanner: Piezoelectric tube scanners provide sub-Ångström positioning in X, Y, Z directions. Typical range: micrometers with sub-picometer precision.
Vibration Isolation: Multiple stages: air table, eddy current damping, spring suspension, and sometimes cryogenic operation to reduce thermal drift.
Control Electronics: High-gain feedback loop (gain >10⁶) maintains setpoint current. Lock-in amplifiers used for spectroscopy measurements.
Approach Mechanism: Coarse approach using "louse" or inertial slider (stick-slip motion) to bring tip within tunneling range.

Scanning Tunneling Spectroscopy (STS)

dI/dV Spectroscopy: By measuring differential conductance (dI/dV) as function of bias voltage, STM probes local electronic density of states (LDOS) at specific surface locations. This reveals electronic structure, band gaps, and quantum states.
I-z Spectroscopy: Current vs distance curves measure work function and barrier height. The exponential decay constant κ provides information about electronic structure.
Applications: Mapping molecular orbitals, identifying defects, studying quantum confinement in nanostructures, investigating superconducting gap, measuring Kondo resonance from magnetic impurities.
Energy Resolution: Limited by thermal broadening (~3.5k_B·T at room temperature). Cryogenic STM (4K) achieves meV resolution for detailed spectroscopy.

Applications and Discoveries

Surface Science: Atomic-scale imaging of reconstruction, adsorbates, step edges, defects, and growth dynamics on metal and semiconductor surfaces.
2D Materials: Characterization of graphene, MoS₂, h-BN, and other van der Waals materials including moiré patterns and edge states.
Molecular Manipulation: Using STM tip to move individual atoms and molecules, creating artificial structures (IBM's quantum corrals, atomic-scale logic gates).
Superconductivity: Direct imaging of vortices, measurement of energy gap, detection of Majorana fermions in topological superconductors.
Catalysis: Observing chemical reactions at single-molecule level, identifying active sites on catalytic surfaces.
Biology: Imaging DNA, proteins, and viruses under physiological conditions (conductive substrates required).

Historical Milestones

1981: Binnig and Rohrer invent STM at IBM Zürich - first real-space images of individual atoms.
1983: First atomic-resolution images of Si(111) 7×7 reconstruction - solved 25-year-old surface science puzzle.
1989: Don Eigler famously spells "IBM" by moving 35 xenon atoms on Ni surface, demonstrating atomic manipulation.
1993: Quantum corral - 48 iron atoms arranged in circle on Cu surface, confining surface electrons in a quantum wave pattern.
2000s: STM enables discovery of graphene's electronic properties, topological insulators, and 2D materials.
2012: First images of chemical bonds forming and breaking during reactions on surfaces.
2016: Visualization of hydrogen bonds in molecular networks with sub-molecular resolution.
2020s: STM combined with machine learning for automated image analysis and pattern recognition.