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We generalize isometric tensor network states to fermionic systems, pavingthe way for efficient adaptations of 1D tensor network algorithms to 2Dfermionic systems. As the first application of this formalism, we developed andbenchmarked a time-evolution block-decimation (TEBD) algorithm for real-timeand imaginary-time evolution. The imaginary-time evolution producesground-state energies for gapped systems, systems with a Dirac point, andsystems with gapless edge mode to good accuracy. The real-time TEBD capturesthe chiral edge dynamics on the boundary of a Chern insulator.

Fermionic Isometric Tensor Network States in Two Dimensions