science Condensed Matter Physics · Computational Physics

Xiao Jiang 江筱

Ph.D. in Condensed Matter Physics

Investigating electron–phonon interactions and polaron quasiparticles in correlated materials using first-principles calculations and Tensor Cross Interpolation (TCI) for high-dimensional diagrammatic integration.

Xiao Jiang (江筱)

Xiao Jiang (江筱)

Ph.D. · Lanzhou University

Independent Researcher
Research Statement

Core Vision

My research lies at the interface of condensed matter theory and scientific software engineering, focusing on the fundamental physics of electron–phonon interactions and polaron transport.

My current focus is developing Tensor Cross Interpolation (TCI) methods for evaluating polaron Feynman diagrams in real materials — bridging model Hamiltonians with first-principles systems. I have built PolaronTCISolver (C++23) as the numerical engine of this effort, and CrystalCanvas (WebGPU/C++) for crystal modeling and DFT workflow preparation.

Current Focus

Research Domains

Domain 01 grain

Polaron Many-Body Theory

Applying Quantics Tensor Cross Interpolation (QTCI) to evaluate high-dimensional electron–phonon Feynman diagrams beyond Migdal approximation for multi-orbital polaron systems.

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Domain 02 hub

Electron–Phonon Coupling

Investigating how crystal symmetry modulates polaron type, transport anisotropy, and dielectric screening in transition-metal oxides (BiVO₄, CeO₂) via DFT and DFPT.

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Domain 03 terminal

Scientific Software

Building high-performance physics software: PolaronTCISolver (C++23 TCI engine with 2,000,000× compression) and CrystalCanvas (GPU crystal modeling).

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Dissemination

Recent Publications

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