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Exploring Rashba effect in layered 2D materials

DDP Project

Presented by: Keshav Bulia

Guide: Professor Amrita Bhattacharya

PhD guide: Dr. Krishna Kundavu

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Content

Introduction:

Theoretical background of Spintronics, Rashba materials, tuning methods etc.

Background:

Current Research for 2D materials

Machine Learning Approach:

Whats done up till now for ML driven predictions

Results & Discussion:

Dataset construction

Trends in materials Found up to date

Feature constructions & Running ML model

future work

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Spintronics

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Spintronics

Key Applications:

    • High-density non-volatile memory
    • Ultra-low power logic circuits
    • Quantum computing platforms

Introduction

Examples:

    • (MRAM)
    • giant magnetoresistance (GMR)
    • magnetic tunnel junctions (MTJs)

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The Rashba Effect

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Hamiltonian for rashba

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Other terms

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Tuning Mechanism

Figure 2.6: Modulation of the Rashba parameter αR in 2D Janus TMDs under (a) external electric field and (b) biaxial strain

Figure 2.7: Variation in the Rashba parameter of 2D TMDs in response to applied external electric field.

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Why 2D Materials for Rashba Physics?

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Why 2D Materials for Rashba Physics?

AB Binary Buckled Monolayers

Includes but not limited to: Phosphorene alloys (P–X: As, Bi, Sb), BiSb, AlBi, h-NbN, h-TaN, MgX, ZnTe, CdTe, PbX (X = S, Se, Te)

Trend: Rashba coefficient (αR) increases with atomic number → stronger SOC

Example: P–As (0.13 eV·Å) → P–Bi (1.56 eV·Å)

Geometric activation:

Planar PbS = centrosymmetric

Buckled PbS = large αR

Janus Transition Metal Dichalcogenides (TMDs)

Janus TMDs: asymmetric monolayers of form MXY

M = Mo, W, Cr X ≠ Y ∈ {S, Se, Te}

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Classfication based ML-model

Feature importance analysis revealed that B-site cation atomic number (Bz ) was the

dominant predictor, confirming the central role of spin-orbit coupling strength.

Eight of the ten most important features related to BX6 octahedral geometry, including:

• Octahedral distortion parameters (Σ, ∆, Λ2, Λ3) measuring bond angle and length

deviations

• B-X bond length statistics (σ(RBX ), max(RBX ))

• Electronegativity difference (χBX Diff), which showed positive correlation with αRD

(PCC = 0.42), suggesting enhanced covalency facilitates the structural distortions

necessary for strong Rashba splitting

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Work

Done

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    • Developed two complementary datasets of 2D Rashba materials from literature and computational repositories.

    • Conducted data analysis to figure out trends (space group, k-path, material family, elemental trends).

    • Engineered 250+ physics-based features (elemental, structural).

    • correlation based reduction of features for ML algorithms

    • Trained multiple regression models (SVM, XGBoost, RF, Ridge).

Work Done

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Dataset Construction and Curation

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Material Family and Composition Trends

Top 10 most frequent elements,

highlighting dominance of chalcogens (Te, Se, S) and heavy metals (Bi, W, Mo).

Figure 4.3: Mean Rashba parameter by material family. Janus structures show highestvalues due to intrinsic asymmetry

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Material Family and Composition Trends

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Material Family and Composition Trends

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Material Family and Composition Trends

BiTeCl 7.48, BiTeBr 9.15, BiTeI 2.086,

2D

BiTeCl 1.9, BiTeBr 2.0, BiTeI 3.85

Bulk

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Dataset & Descriptors - Elemental Properties

Derived from 35 atomic properties × 5 statistics (mean, max, range, ratio, std).

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Dataset & Descriptors - Structural Properties (Local Environment)

Voronnoi radii of 0.5,1.0,1.5,2.0 * Lattice parameter

Statistical values, for each radii, for each atom in the structure

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Dataset & Descriptors - Structural Properties (Local Environment)

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Correlation removal

Correlation Filtering with > 0.8 Correlation between values

Reduced dimensions by 77%.

Retained 16 AFS + 14 GRDF + 28 elemental = 58 total features.

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Machine learning: Feature construction

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Future plan for now

1. Descriptor Improvement

Create new features using available orbital and electronic data.

Capture more physics behind Rashba behavior through refined descriptors.

2. Dataset Expansion

Add more materials through high-throughput DFT calculations, especially for verification.

3. Advanced ML Methods

Use Graph Neural Networks for structure-based learning.

Explore transfer learning and ensemble models for better accuracy and reliability.

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Thank You