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- W3026579966 abstract "We construct a fermionic lattice model containing interacting spin-$frac{1}{2}$ fermions with an $O(4)$ symmetry. In addition the model contains a $mathbb{Z}_2$ chiral symmetry which prevents a fermion mass term. Our model is motivated by the ability to study its physics using the meron-cluster algorithm. By adding a strong repulsive Hubbard interaction $U$, we can transform it into the regular Heisenberg anti-ferromagnet. While we can study our model in any dimension, as a first project we study it in one spatial dimension. We discover that our model at $U=0$ can be described as a lattice-regularized 2-flavor Gross-Neveu model, where fermions become massive since the $mathbb{Z}_2$ chiral symmetry of the model is spontaneously broken. We show numerically that the theory remains massive when $U$ is small. At large values of $U$ the model is equivalent to the isotropic spin-half anti-ferromagnetic chain, which is massless for topological reasons. This implies that our model has a quantum phase transition from a $mathbb{Z}_2$ broken massive phase to a topologically massless phase as we increase $U$. We present results obtained from our quantum Monte Carlo method near this phase transition." @default.
- W3026579966 created "2020-05-29" @default.
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- W3026579966 date "2020-01-04" @default.
- W3026579966 modified "2023-10-17" @default.
- W3026579966 title "Quantum Critical Phenomena in an $O(4)$ Fermion Chain" @default.
- W3026579966 doi "https://doi.org/10.22323/1.363.0222" @default.
- W3026579966 hasPublicationYear "2020" @default.
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