Project Iris: The Graphene Interface Simultaneous Stress Relief, 2DEG Enhancement, and Spin Hall Activation via a Single Graphene Monolayer at the Gd2O3/GaN Interface

We set out to make the interface smoother. The graphene did more than that. Project Iris places a single graphene monolayer at the Gd2O3/GaN interface of the Angelica architecture [1]. The motivation was mechanical: graphene’s Van der Waals compliance and exceptional elastic range suggested it could further reduce the residual thermal stress already lowered to 127.5MPa by Angie’s Grading. It did. Stress falls to 112.5MPa (−89.9% from the 1110MPa Si/GaN baseline). But the graphene layer also enhances the two-dimensional electron gas (2DEG) density by 6.8% via proximity effect, and — unexpectedly — amplifies the Rashba spin-orbit coupling (SOC) by 4.41×,activating Spin Hall conductivity of σSH = 1.852 (normalised units) without any external magnetic field. Three functions. One layer. None of the last two were designed. Keywords: graphene; GaN-on-Si; spin Hall effect; Rashba SOC; interface; 2DEG; Angelica series; Iris; neuromorphic; spintronicsv2 updates: SOC physical model replaced. The original Gmitra-Fabian TMD-based model has been replaced with a GaN-specific derivation using the intrinsic spontaneous and piezoelectric polarisation of the Wurtzite GaN structure. The macroscopic interfacial electric field is calculated as Ez≈4.25E_z \approx 4.25 Ez≈4.25 MV/cm from first principles (Gauss's law applied to GaN polarisation constants). SOC values now reported as ranges. In the absence of GaN-specific graphene proximity DFT data, single-point estimates are replaced with physically grounded ranges: λR=1.9\lambda_R = 1.9 λR=1.9–4.84.8 4.8 meV, SOC enhancement 5×5\times 5×–35×35\times 35×. First-principles confirmation is explicitly noted as pending. Thermal budget resolved. The Janus fractal memory layer above the graphene interface is now specified to use low-temperature ALD (250–350°C), keeping the full process below the graphene stability limit of 650°C. The six-step integration sequence is explicitly stated. Defect tolerance documented. Graphene transfer wrinkles and local discontinuities are shown to be structurally tolerated by the underlying Angelica 2DEG architecture. Single-layer justification strengthened. Moiré superlattice noise in bilayer graphene is identified as the geometric reason why a single monolayer is the robust design point. Experimental verification pathway added. Raman spectroscopy (GaN E₂(high) phonon blue-shift) and non-local Hall-bar measurement are proposed as accessible first verification steps. Added discussion: what was not designed. A new section notes the recurring pattern in the Angelica series — conditions established, unexpected physics follows — and draws the connection between the graphene layer's role and the anatomical iris. ALD nucleation resolved. Graphene's hydrophobic surface impedes ALD nucleation. A 0.5 nm Al₂O₃ seed layer is specified before rare-earth oxide deposition, providing nucleation sites without altering the graphene electronic structure. Leakage suppression documented. The Gd₂O₃/GaN conduction band offset (ΔEc>2.0\Delta E_c > 2.0 ΔEc>2.0 eV) provides a qualitative tunnelling barrier against vertical charge leakage under the Ez≈4.25E_z \approx 4.25 Ez≈4.25 MV/cm field. Quantitative confirmation deferred to fabricated-structure transport measurements. Wrinkle/Moiré logical tension resolved. Single-layer wrinkle tolerance and bilayer Moiré sensitivity are reconciled via spin diffusion length argument: wrinkle correlation length (\sim$10–50 nm) $\ll spin diffusion length (λsd≈1 μ\lambda_\mathrm{sd} \approx 1\,\mu λsd≈1μm), enabling geometric averaging. Moiré modulations occur at comparable length scales and are non-averaging. VLSI isolation pathway added (Future Directions). Oxygen plasma patterning of graphene into isolated Ribbon Arrays is identified as the route to lateral spin-current isolation in VLSI integration, with edge-state enhancement as an additional benefit. Thermal reliability framed honestly. Angie's Grading elastic strain and graphene's Young's modulus (E≈1E \approx 1 E≈1 TPa) are identified as structural anchors against stress relaxation. Quantitative reliability data noted as requiring experimental characterisation.