The simulator demonstrates how total electrical resistivity in a dilute magnetic alloy emerges from two competing physical contributions: a phonon-driven term that falls steadily with cooling, and a Kondo screening term that rises as temperature drops below the Kondo temperature, together producing the characteristic resistivity minimum.
Adjust the magnetic impurity concentration and the Kondo temperature using the sliders, then watch the resistivity-versus-temperature curve redraw in real time. Compare curves at different impurity concentrations to see how the depth and position of the minimum change, and toggle the individual phonon and Kondo contributions on or off to see how each one shapes the final combined curve.
Sliders for magnetic impurity concentration and Kondo temperature; toggles to isolate the phonon and Kondo resistivity contributions; live-updating resistivity-versus-temperature graph with a marked minimum point.
The theoretical technique Kenneth Wilson invented specifically to fully solve the Kondo problem, the numerical renormalization group, later became one of the most widely used tools across all of theoretical physics, applied to problems as varied as phase transitions and quantum field theory, and contributed to his 1982 Nobel Prize in Physics.
The simulator demonstrates how total electrical resistivity in a dilute magnetic alloy emerges from two competing physical contributions: a phonon-driven term that falls steadily with cooling, and a Kondo screening term that rises as temperature drops below the Kondo temperature, together producing the characteristic resistivity minimum.
The simulator demonstrates how total electrical resistivity in a dilute magnetic alloy emerges from two competing physical contributions: a phonon-driven term that falls steadily with cooling, and a Kondo screening term that rises as temperature drops below the Kondo temperature, together producing the characteristic resistivity minimum.
Adjust the magnetic impurity concentration and the Kondo temperature using the sliders, then watch the resistivity-versus-temperature curve redraw in real time. Compare curves at different impurity concentrations to see how the depth and position of the minimum change, and toggle the individual phonon and Kondo contributions on or off to see how each one shapes the final combined curve.
The theoretical technique Kenneth Wilson invented specifically to fully solve the Kondo problem, the numerical renormalization group, later became one of the most widely used tools across all of theoretical physics, applied to problems as varied as phase transitions and quantum field theory, and contributed to his 1982 Nobel Prize in Physics.