Year: 2008
Type: article
Abstract: We use the fidelity approach to quantum critical points to study the zero-temperature phase diagram of the one-dimensional Hubbard model. Using a variety of analytical and numerical techniques, we analyze the fidelity metric in various regions of the phase diagram with particular care to the critical points. Specifically we show that close to the Mott transition, taking place at on-site repulsion $U=0$ and electron density $n=1$, the fidelity metric satisfies an hyperscaling form which we calculate. This implies that in general, as one approaches the critical point $U=0$, $n=1$, the fidelity metric tends to a limit which depends on the path of approach. At half-filling, the fidelity metric is expected to diverge as ${U}^{\ensuremath{-}4}$ when $U$ is sent to zero.
Source: Physical Review B
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1999804121