strain-controlled-topological-quantum

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

1. Apply spatially nonuniform strain
2. Strain tunes spatial overlap of Majorana wavefunction components
3. Shifts topological phase boundary
4. Enables controlled crossover: trivial → psABS → MBS

Graphene Nanoribbons

1. Apply strain to suppress subband mixing
2. Lift degeneracies from multiband effects
3. Stabilize boundary-localized modes
4. 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

1. Fabricate heterostructure with controllable strain
2. Apply spatially varying strain (piezoelectric actuators)
3. Measure low-energy spectrum via tunneling spectroscopy
4. Identify MBS signatures: zero-bias peaks, nonlocality
5. 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