Universal relations for disordered systems
Year: 2026
Type: article
Abstract: 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.
Source: New Journal of Physics
Author: V Pastukhov
Institution: Lviv University
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,610
OpenAlex ID: W7130367909