Quantum capacitance with an auxiliary quantum dot measures ground-state energy splitting and Majorana overlap in topological qubits via peak positions and magnitudes in even and odd parity sectors.
Optimal Majoranas in Mesoscopic Kitaev Chains
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
Kitaev chains realized in quantum dots coupled via superconducting segments provide a controllable platform for engineering Majorana zero modes (MZMs). In these systems, subgap states in the hybrid region mediate the effective coupling between quantum dots and determine the emergence of sweet-spots where MZMs are strongly localized. However, existing minimal treatments often oversimplify the mesoscopic hybrid region. We perform a full microscopic treatment of this hybrid segment, capturing the quasiparticle continuum and spin-split Andreev bound states (ABSs), and show that it fundamentally alters the minimal picture. We derive analytical expressions for the renormalized couplings and sweet-spot conditions, establishing a direct link between microscopic chain parameters and Majorana optimization and identifying experimentally relevant regimes for improved device performance. Critically, we find that parity-crossings of the ABS, marking the onset of an odd-parity spin-polarized regime in the segment, identify the optimal operating windows where MZMs are simultaneously well localized with a large gap to excited states.
fields
cond-mat.mes-hall 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Cavity photons screen attractive or repulsive interactions in a quantum-dot Kitaev chain, allowing the system to reach the sweet spot for poor man's Majorana bound states.
Poor Man's Majorana modes in a two-quantum-dot plus finite superconductor hybrid oscillate in number between zero and two with superconductor length on the scale of one angstrom, and separately localized modes at both ends do not appear.
citing papers explorer
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Assessing Majorana states and qubits through quantum capacitance
Quantum capacitance with an auxiliary quantum dot measures ground-state energy splitting and Majorana overlap in topological qubits via peak positions and magnitudes in even and odd parity sectors.
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Poor man's Majorana bound states in quantum dot based Kitaev chain coupled to a photonic cavity
Cavity photons screen attractive or repulsive interactions in a quantum-dot Kitaev chain, allowing the system to reach the sweet spot for poor man's Majorana bound states.
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Sensitive dependence of Poor Man's Majorana modes on the length of the superconductor
Poor Man's Majorana modes in a two-quantum-dot plus finite superconductor hybrid oscillate in number between zero and two with superconductor length on the scale of one angstrom, and separately localized modes at both ends do not appear.