By name: strain-controlled-topological-quantum description: "Control and stabilize topological Majorana bound states using spatially nonuniform strain in superconductor-semiconductor heterostructures. Covers strain-tuned phase boundaries, disorder-induced psABS to MBS conversion, and position-dependent topological mass framework. Activation: strain-controlled quantum, Majorana bound states, topological quantum computing, Andreev bound states, superconductor-semiconductor heterostructure, Bogoliubov-de Gennes simulation."
Strain-Controlled Topological Quantum State Engineering
Control topological quantum states via strain engineering. Based on arXiv:2605.11066v1.
Core Insight
Spatially nonuniform strain provides a systematic route to control and interconvert between:
- Trivial low-energy states
- Partially separated Andreev bound states (psABSs)
- Topological Majorana bound states (MBSs)
Platform-Specific Methods
Semiconductor Nanowires
- Apply spatially nonuniform strain
- Strain tunes spatial overlap of Majorana wavefunction components
- Shifts topological phase boundary
- Enables controlled crossover: trivial → psABS → MBS
Graphene Nanoribbons
- Apply strain to suppress subband mixing
- Lift degeneracies from multiband effects
- Stabilize boundary-localized modes
- Disorder-induced psABSs convert to well-separated MBSs
Simulation Framework
# Tight-binding Bogoliubov-de Gennes simulation
# Components to model:
# - 1D semiconductor nanowire or graphene nanoribbon
# - Superconductivity (proximity-induced)
# - Rashba spin-orbit coupling
# - Zeeman field
# - Disorder potential
# - Strain-induced lattice deformation
Analytical Framework
Position-Dependent Topological Mass
- Strain creates domain walls in topological mass profile
- Domain-wall motion drives state crossover
- Real-space criterion for MBS emergence: mass sign change with sufficient gradient
Key Parameters
| Parameter | Effect |
|---|---|
| Strain magnitude | Reshapes low-energy spectrum |
| Strain gradient | Drives domain-wall motion |
| Disorder strength | Affects psABS formation |
| Zeeman field | Tunes topological transition |
Experimental Pathway
- Fabricate heterostructure with controllable strain
- Apply spatially varying strain (piezoelectric actuators)
- Measure low-energy spectrum via tunneling spectroscopy
- Identify MBS signatures: zero-bias peaks, nonlocality
- Distinguish MBS from psABS using strain-tuning response
Activation Keywords
- strain-controlled quantum
- Majorana bound states
- topological quantum computing
- Andreev bound states
- Bogoliubov-de Gennes
- superconductor-semiconductor heterostructure
- psABS to MBS conversion
References
- arXiv: 2605.11066v1 — "Strain-controlled crossover between Majorana and Andreev bound states in disordered superconductor-semiconductor heterostructures"
- Authors: Shubhanshu Karoliya, Ekta, Gargee Sharma
- Published: 2026-05-11