Constructive Fermionic Matrix Product States for Projected Fermi Sea
arXiv:2408.00858 · doi:10.1103/PhysRevResearch.7.013182
Abstract
Projected wave functions offer a means for incorporating local correlation effects in gapless electronic phases of matter like metals. Although such wave functions can be readily specified formally, it is challenging to compute their associated physical observables. Tensor network approaches offer a modern numerical method for this task. In this work, we develop and demonstrate a constructive tensor-network approach for obtaining physical quantities, like fermion two-point functions and density-density correlation functions, for one-dimensional projected Fermi sea states. We benchmark our method against exact analytical results for spin-1/2 electrons subjected to the Gutzwiller projection, and then present results on spinless fermions with nearest-neighbor repulsion. For a state with two pairs of Fermi points, we reveal a correlation-tuning of the characteristic wave vector of the charge density modulation in the system.
17 pages, 10 figures; version 2: Typos corrected and references updated
References in corpus (7)
- The density-matrix renormalization group in the age of matrix product states
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Tensor-entanglement renormalization group approach to 2D quantum systems
- LDA+Gutzwiller Method for Correlated Electron Systems
- Critical entanglement spectrum of one-dimensional symmetry protected topological phases