Speaker
Description
We numerically study the Fidkowski-Kitaev (FK) model using the density matrix renormalization group (DMRG), a tensor network method in the Hamiltonian formalism.
The 4-fermi interaction of the FK model can generate a mass gap without symmetry-breaking fermion condensation.
Thus, it is expected that low-energy modes of one chirality will be decoupled from those of the other by a large mass hierarchy.
Our main goals in this work are to obtain low-energy states with a definite chirality and to confirm the absence of symmetry breaking.
It is also interesting to understand the effects of the anomaly and its cancellation in the Hamiltonian formalism.
We translated the FK model into a spin model and applied the DMRG, in which the sign problem is absent, and the wave functions are directly available.
We present our preliminary results and discuss the prospect.