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U(1)-symmetric Gaussian fermionic projected entangled paired states and their Gutzwiller projection
- Source :
- Phys. Rev. B 107, 085148 (2023)
- Publication Year :
- 2022
-
Abstract
- We develop a formalism for constructing particle-number-conserving Gaussian fermionic projected entangled pair states [U(1)-GfPEPS] and show that these states can describe ground states of band insulators and gapless fermions with band touching points. When using them as variational Ans\"{a}tze for two Dirac fermion systems ($\pi$-flux model on the square lattice and $[0,\pi]$-flux model on the kagome lattice), we find that the U(1)-GfPEPS, even with a relatively small bond dimension, can accurately approximate the Dirac Fermi sea ground states. By applying Gutzwiller projectors on top of these U(1)-GfPEPS, we obtain PEPS representation of U(1)-Dirac spin liquid states for spin-1/2 systems. With state-of-the-art tensor network numerics, the critical exponent in the spin-spin correlation function of the Gutzwiller-projected $\pi$-flux state is estimated to be $\eta \approx 1.7$.
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 107, 085148 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2208.04623
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.107.085148