Shaping electron wave functions in a carbon nanotube with a parallel magnetic field

Abstract

A magnetic field, through its vector potential, usually causes measurable changes in the electron wave function only in the direction transverse to the field. Here we demonstrate experimentally and theoretically that in carbon nanotube quantum dots, combining cylindrical topology and bipartite hexagonal lattice, a magnetic field along the nanotube axis impacts also the longitudinal profile of the electronic states. With the high (up to 17T) magnetic fields in our experiment the wave functions can be tuned all the way from "half-wave resonator" shape, with nodes at both ends, to "quarter-wave resonator" shape, with an antinode at one end. This in turn causes a distinct dependence of the conductance on the magnetic field. Our results demonstrate a new strategy for the control of wave functions using magnetic fields in quantum systems with nontrivial lattice and topology.

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• Coulomb Blockade Spectroscopy of a ${\mathrm{MoS}}_2$ Nanotube
• Pseudospin resonances reveal synthetic spin-orbit interaction
• Manipulating electron waves in graphene using carbon nanotube gating
• Magnetic field control of the Franck-Condon coupling of few-electron quantum states
• From Transparent Conduction to Coulomb Blockade at Fixed Hole Number
• Resonator induced quantum phase transitions in a hybrid Josephson junction
• Staggered spin-orbit interaction in a nanoscale device
• Analog Unruh effect of inhomogeneous one-dimensional Dirac fermions
• Optomechanical coupling and damping of a carbon nanotube quantum dot
• Edge density of bulk states due to relativity