Mapping local Hamiltonians of fermions to local Hamiltonians of spins

Details Mapping local Hamiltonians of fermions to local Hamiltonians of spins Mapping local Hamiltonians of fermions to local Hamiltonians of spins

2005-08-15

arxiv.org/abs/cond-mat/0508353v3

J.Stat.Mech.0509:P09012,2005

Physics

Condensed Matter

Strongly Correlated Electrons

Added explicit mapping

Scientific paper

10.1088/1742-5468/2005/09/P09012

We show how to map local fermionic problems onto local spin problems on a lattice in any dimension. The main idea is to introduce auxiliary degrees of freedom, represented by Majorana fermions, which allow us to extend the Jordan-Wigner transformation to dimensions higher than one. We also discuss the implications of our results in the numerical investigation of fermionic systems.

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