2024/09/02 by V. Pastukhov, Pastukhov, V.
Physics and Astronomy · Chemistry · Computer Science · #Quantum Mechanics and Applications #History and advancements in chemistry #Computability, Logic, AI Algorithms
paper · pdf · doi:10.48550/arxiv.2409.01271
The universal relations for spin-1/2 fermions with contact interaction in the presence of quenched disorder are discussed. The disorder is modeled by a random external potential with the Gaussian distribution and δ-like two-point correlation function. Utilizing simple scaling arguments, the renormalizability of the theory, and the Hellmann-Feynman theorem we identified the large-momentum tail of particle distribution and analog of Tan's energy relation for many-fermion systems with disorder in arbitrary dimension d≥ 2. It is shown that the energy-pressure relation manifests a kind of scale anomaly in two and three dimensions.