The size of Cooper pairs is given by the trace of their quantum geometric quadrupole moment, with Berry curvature entering via the pair wavefunction phase to impose a geometric lower bound alongside the quantum metric.
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The site basis excitation ansatz computes accurate one-magnon dispersions for the S=1 Heisenberg chain by constructing a small non-orthogonal basis from a single-site-like diagonalization and solving small matrices for each momentum.
A new equivariant space group framework constructs magnetic Hamiltonians with explicit dependence on magnetic order orientation n, enabling analysis of dynamics-driven topological pumping and ab-initio modeling of real materials.
First-principles and tight-binding calculations on three FI/TI van der Waals stacks predict a magnetization-induced gap that supports half-quantized anomalous Hall conductance of e²/2h.
Nonlinear thermal and thermoelectric responses are shown to encode quantum geometry and satisfy relations parallel to the Wiedemann-Franz and Mott laws in systems with broken symmetries.
Ta₂CS₂ MXene hosts valley-orbital and orbital-layer couplings that, together with spin-orbit interaction and electric polarization, yield valley-dependent orbital moments and layer-dependent spin splitting, which appear in orbital and spin Hall effects.
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Site Basis Excitation Ansatz for Matrix Product States
The site basis excitation ansatz computes accurate one-magnon dispersions for the S=1 Heisenberg chain by constructing a small non-orthogonal basis from a single-site-like diagonalization and solving small matrices for each momentum.