Solution to new sign problems with Hamiltonian Lattice Fermions
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Abstract
We present a solution to the sign problem in a class of particle-hole symmetric Hamiltonian
lattice fermion models on bipartite lattices using the idea of fermion bags. The solution
remains valid when the particle-hole symmetry is broken through a staggered chemical
potential term. This solution allows, for the first time, simulations of some massless
four-fermion models with minimal fermion doubling and with an odd number of fermion
flavors using ultra-local actions. One can thus study a variety of quantum phase transitions
that have remained unexplored so far due to sign problems.
Type
Journal articlePermalink
https://hdl.handle.net/10161/10362Collections
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Show full item recordScholars@Duke
Shailesh Chandrasekharan
Professor of Physics
Prof. Chandrasekharan is interested in understanding quantum field theories non-perturbatively
from first principles calculations. His research focuses on lattice formulations of
these theories with emphasis on strongly correlated fermionic systems of interest
in condensed matter, particle and nuclear physics. He develops novel Monte-Carlo algorithms
to study these problems. He is particularly excited about solutions to the notoriously
difficult <a href="http://en.wikipedia.org/wiki/Numerical_si

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