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Intrinsic Metastabilities in the Charge Configuration of a Double Quantum Dot

MetadataDetails
Publication Date2015-09-04
JournalPhysical Review Letters
AuthorsDaniel E. F. Biesinger, C. P. Scheller, Bernd Braunecker, Jeramy D. Zimmerman, A. C. Gossard
InstitutionsUniversity of Basel, University of St Andrews
Citations16
AnalysisFull AI Review Included

Technical Documentation & Analysis: Intrinsic Metastabilities in Double Quantum Dots

Section titled “Technical Documentation & Analysis: Intrinsic Metastabilities in Double Quantum Dots”

This document analyzes the research concerning intrinsic charge switching in GaAs double quantum dots (DDs) and outlines how 6CCVD’s advanced MPCVD diamond materials and customization capabilities can accelerate and enhance future research in solid-state quantum computing.


  • Core Achievement: Experimental observation and theoretical modeling of thermally activated intrinsic charge switching (metastability) within a GaAs double quantum dot (DD) system.
  • Mechanism: The switching is driven by thermal electron exchange between the DD and its external reservoirs, occurring even in the absence of direct interdot tunneling.
  • Qubit Limitation: This exchange process sets an intrinsic upper limit on the spin relaxation time ($T_1$), calculated to be approximately 0.3 ms under typical experimental conditions ($T_e = 100$ mK, $\Delta\epsilon = 75$ ”eV).
  • Qubit Advantage: The fast, gate-controlled electron exchange facilitates rapid spin initialization, a critical step for solid-state qubit operation.
  • Methodology Validation: An extended orthodox DD transport theory, incorporating charge fluctuations and a four-state Markov chain, accurately reproduces the experimental observations, including the detection of intermediate charge states (0,0) and (1,1) at elevated temperatures (200 mK).
  • 6CCVD Value Proposition: While this research uses GaAs, 6CCVD provides high-purity Single Crystal Diamond (SCD) substrates—the superior platform for next-generation spin qubits—offering significantly lower spin-orbit coupling and higher thermal stability.

The following hard data points were extracted from the experimental setup and results:

ParameterValueUnitContext
2D Electron Gas Depth110nmBelow GaAs surface
2D Electron Gas Density2.6 * 1011cm-2GaAs heterostructure
Mobility4 * 105cm2/VsGaAs heterostructure
Base Temperature (Dilution Refrigerator)~20mKExperimental setup
Electron Temperature (Te)~60mKStandard operating condition (via Coulomb blockade thermometry)
Elevated Test Temperature200mKUsed to observe intermediate states (0,0) and (1,1)
Sensor Bias Voltage60”V DCTypical sensor operation
Measurement Bandwidth10kHzLimited by signal-to-noise ratio
Intrinsic T1 Upper Bound (Calculated)~0.3msAt diamond center (Te = 100 mK, $\Delta\epsilon$ = 75 ”eV)
Interdot Tunneling Energy ($\Delta$)~150”eVShort diamond axis

The experimental observation and analysis of intrinsic metastability relied on precise cryogenic control and high-sensitivity charge sensing:

  1. Sample Preparation: Devices were fabricated from a GaAs heterostructure hosting a 2D electron gas 110 nm below the surface. Gates were patterned to define the double quantum dot (DD) and adjacent charge sensors.
  2. Cryogenic Environment: Experiments were conducted in a dilution refrigerator at a base temperature of T ~ 20 mK. Specialized Ag-epoxy microwave filters and thermalizers were used to achieve a stable electron temperature (Te ~ 60 mK).
  3. Charge Sensing: The left sensor dot was biased at 60 ”V DC. Real-time current digitization was performed with a 10 kHz measurement bandwidth to detect charge transitions in the DD.
  4. Sensitivity Maintenance: Linear feedback compensation was applied to the sensor plunger gate (L2) to counteract strong capacitive shifts caused by changing DD gate voltages, thereby maintaining high charge sensitivity.
  5. Switching Rate Analysis: Real-time sensor data was collected over numerous events. Dwell times in the (1,0) and (0,1) charge states were histogrammed, yielding single exponential decays used to quantify the switching rates ($\Gamma_L$ and $\Gamma_R$).
  6. Model Validation: The observations were successfully modeled using an extension of the orthodox DD transport theory, incorporating charge fluctuations and utilizing a four-state Markov chain to predict and confirm the existence of intermediate states (0,0) and (1,1).

This research highlights the fundamental limits of spin qubits imposed by material properties (specifically, electron-reservoir coupling in GaAs). Diamond is the ideal material platform to overcome these limitations due to its ultra-low spin-orbit coupling, high Debye temperature, and superior thermal properties. 6CCVD is uniquely positioned to supply the necessary diamond materials and custom fabrication services to advance this research into the next generation of solid-state qubits.

Research Requirement / Challenge6CCVD Solution & CapabilityMaterial Recommendation
Challenge: Intrinsic $T_1$ limit (0.3 ms) set by electron exchange via reservoirs in GaAs.Solution: Diamond offers significantly lower spin-orbit coupling and higher lattice stability, which minimizes spin-phonon interaction and pushes the intrinsic $T_1$ limit far beyond the constraints of III-V semiconductors.Optical Grade SCD: Single Crystal Diamond wafers (0.1 ”m to 500 ”m thickness) with ultra-low defect density, ideal for hosting high-coherence spin qubits (e.g., NV centers or pure diamond dots).
Requirement: Ultra-flat, stable substrate surface for nanoscale gate lithography (600 nm scale features).Capability: SCD substrates polished to an industry-leading surface roughness of Ra < 1 nm, ensuring consistent gate deposition and minimizing surface charge traps that could mimic extrinsic switching effects.Electronic Grade SCD: For high-purity, low-strain material necessary for advanced quantum device integration and minimizing background noise.
Requirement: Complex gate structures and electrical contacts for DD control and charge sensing (e.g., Ti/Pt/Au stacks).Capability: Full in-house metalization services. We apply custom metal stacks (Au, Pt, Pd, Ti, W, Cu) directly to diamond substrates, tailored for stability and performance in demanding cryogenic environments (T < 20 mK).Custom Metalized Diamond: SCD or PCD wafers with specified multi-layer stacks optimized for ohmic contact and gate stability.
Requirement: Custom dimensions for integration into specialized cryogenic systems (dilution refrigerators).Capability: Custom dimensions available for plates/wafers up to 125 mm (PCD). We offer precise laser cutting and shaping services to meet the exact geometric requirements of cryostat mounts and device holders.Custom Dimensions: SCD or PCD plates cut to exact specifications, ensuring seamless integration into existing experimental setups.
Challenge: Maintaining low electron temperatures (Te ~ 60 mK) during high-bandwidth measurements.Capability: Diamond’s exceptional thermal conductivity (the highest of any known material) provides a robust platform for managing localized heating effects, crucial for maintaining low electron temperatures and minimizing thermal activation of unwanted processes.High Thermal Conductivity SCD/PCD: Substrates optimized for heat dissipation, ensuring stable cryogenic operation for quantum experiments.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly. Our in-house PhD team is ready to assist with material selection and design optimization for similar solid-state quantum projects. We offer global shipping (DDU default, DDP available).

View Original Abstract

We report a thermally activated metastability in a GaAs double quantum dot exhibiting real-time charge switching in diamond shaped regions of the charge stability diagram. Accidental charge traps and sensor backaction are excluded as the origin of the switching. We present an extension of the canonical double dot theory based on an intrinsic, thermal electron exchange process through the reservoirs, giving excellent agreement with the experiment. The electron spin is randomized by the exchange process, thus facilitating fast, gate-controlled spin initialization. At the same time, this process sets an intrinsic upper limit to the spin relaxation time.