Theory of spin, electronic and transport properties of the lateral triple quantum dot molecule in a magnetic field

Abstract

We present a theory of spin, electronic and transport properties of a few-electron lateral triangular triple quantum dot molecule in a magnetic field. Our theory is based on a generalization of a Hubbard model and the Linear Combination of Harmonic Orbitals combined with Configuration Interaction method (LCHO-CI) for arbitrary magnetic fields. The few-particle spectra obtained as a function of the magnetic field exhibit Aharonov-Bohm oscillations. As a result, by changing the magnetic field it is possible to engineer the degeneracies of single-particle levels, and thus control the total spin of the many-electron system. For the triple dot with two and four electrons we find oscillations of total spin due to the singlet-triplet transitions occurring periodically in the magnetic field. In the three-electron system we find a transition from a magnetically frustrated to the spin-polarized state. We discuss the impact of these phase transitions on the addition spectrum and the spin blockade of the lateral triple quantum dot molecule.

30 pages (one column), 9 figures

References in corpus (6)

• Stability Diagram of a Few-Electron Triple Dot
• Topological Hunds rules and the electronic properties of a triple lateral quantum dot molecule
• Magnetically Tunable Kondo - Aharonov-Bohm Effect in a Triangular Quantum Dot
• Kondo screening in a magnetically frustrated nanostructure: Exact results on a stable, non-Fermi-liquid phase
• The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model
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Cited by in corpus (22)

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• Control of Spin Blockade by AC Magnetic Fields in Triple Quantum Dots
• Spin selective Aharonov-Bohm oscillations in a lateral triple quantum dot
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• Spin-polarized currents in double and triple quantum dots driven by ac magnetic fields
• Quantum circuits based on coded qubits encoded in chirality of electron spin complexes in triple quantum dots
• Tunneling spectroscopy of spin-selective Aharonov-Bohm oscillations in a lateral triple quantum dot molecule
• Tunable current circulation in triangular quantum-dot metastructures
• Entanglement switching via the Kondo effect in triple quantum dots
• Theory of barrier vs tilt exchange gate operations in spin-based quantum computing
• Greenberger-Horne-Zeilinger States in Quantum Dot Molecule
• Theory of electronic transport through a triple quantum dot in the presence of magnetic field
• Violation of Detailed Balance in Quantum Open Systems
• Macroscopic quantum state in a semiconductor device
• Improving Intrinsic Decoherence in Multi-Quantum-Dot Charge Qubits
• The tunnel magnetoresistance in chains of quantum dots weakly coupled to external leads
• Energy spectra of three electrons in SiGe/Si/SiGe laterally coupled triple quantum dots
• Anomalous magnetotransport through reflection-symmetric artificial molecules
• Pauli Spin Blockade in a Resonant Triple Quantum Dot Molecule
• Circular-polarization sensitive metamaterial based on triple quantum-dot molecules
• Kondo effect in Complex Quantum Dots in the presence of an oscillating and fluctuating gate signal