期刊
ANNALS OF PHYSICS
卷 399, 期 -, 页码 149-180出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2018.10.007
关键词
Symmetry-protected topological phases; Lattice field theory; Ultra-cold fermions in optical lattices; Strongly-correlated fermions
资金
- Ramon y Cajal program [RYC-2016-20066]
- Spanish MINECO [FIS2015-70856-P]
- CAM PRICYT project QUITEMAD+ [S2013/ICE-2801]
- Spanish Ministry MINECO [FIS2016-79508-P, SEV-2015-0522]
- Generalitat de Catalunya, Spain (AGAUR Grant) [2017 SGR 1341]
- National Science Centre, Poland-Symfonia Grant [2016/20/W/ST4/00314]
- STFC, United Kingdom [ST/P00055X/1]
- STFC [ST/P00055X/1] Funding Source: UKRI
We show that a Wilson-type discretization of the Gross-Neveu model, a fermionic N-flavor quantum field theory displaying asymptotic freedom and chiral symmetry breaking, can serve as a playground to explore correlated symmetry-protected phases of matter using techniques borrowed from high-energy physics. A large-N study, both in the Hamiltonian and Euclidean formalisms, yields a phase diagram with trivial, topological, and symmetry-broken phases separated by critical lines that meet at a tri-critical point. We benchmark these predictions using tools from condensed matter and quantum information science, which show that the large-N method captures the essence of the phase diagram even at N = 1. Moreover, we describe a cold-atom scheme for the quantum simulation of this lattice model, which would allow to explore the single-flavor phase diagram. (C) 2018 Elsevier Inc. All rights reserved.
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