Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality
Abstract
Motivated by the fermion-bag approach, in this work we construct a new class of Hamiltonian lattice field theories that can help us to study fermionic quantum critical points, particularly those with four-fermion interactions. Although these theories are constructed in discrete time with a finite temporal lattice spacing ϵ, when ϵ → 0, conventional continuous-time Hamiltonian lattice field theories are recovered. The fermion-bag algorithms run relatively faster when ϵ = 1 as compared to ϵ → 0 but still allow us to compute universal quantities near the quantum critical point even at such a large value of ϵ. As an example of this new approach, here we study the $$N_f$$ = 1 Gross-Neveu chiral-Ising universality class in 2 + 1 dimensions by calculating the critical scaling of the staggered mass order parameter. We show that we are able to study lattice sizes up to 1002 sites when ϵ = 1, while with comparable resources we can reach lattice sizes of only up to 642 when ϵ → 0. The critical exponents obtained in both these studies match within errors.
- Authors:
-
- Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
- Duke Univ., Durham, NC (United States)
- Publication Date:
- Research Org.:
- Duke Univ., Durham, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); Innovation, Science and Economic Development Canada (ISED); National Science Foundation (NSF)
- OSTI Identifier:
- 1800275
- Alternate Identifier(s):
- OSTI ID: 1608078
- Grant/Contract Number:
- FG02-05ER41368; ACI-1548562
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics
Citation Formats
Huffman, Emilie, and Chandrasekharan, Shailesh. Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality. United States: N. p., 2020.
Web. doi:10.1103/physrevd.101.074501.
Huffman, Emilie, & Chandrasekharan, Shailesh. Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality. United States. https://doi.org/10.1103/physrevd.101.074501
Huffman, Emilie, and Chandrasekharan, Shailesh. Thu .
"Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality". United States. https://doi.org/10.1103/physrevd.101.074501. https://www.osti.gov/servlets/purl/1800275.
@article{osti_1800275,
title = {Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality},
author = {Huffman, Emilie and Chandrasekharan, Shailesh},
abstractNote = {Motivated by the fermion-bag approach, in this work we construct a new class of Hamiltonian lattice field theories that can help us to study fermionic quantum critical points, particularly those with four-fermion interactions. Although these theories are constructed in discrete time with a finite temporal lattice spacing ϵ, when ϵ → 0, conventional continuous-time Hamiltonian lattice field theories are recovered. The fermion-bag algorithms run relatively faster when ϵ = 1 as compared to ϵ → 0 but still allow us to compute universal quantities near the quantum critical point even at such a large value of ϵ. As an example of this new approach, here we study the $N_f$ = 1 Gross-Neveu chiral-Ising universality class in 2 + 1 dimensions by calculating the critical scaling of the staggered mass order parameter. We show that we are able to study lattice sizes up to 1002 sites when ϵ = 1, while with comparable resources we can reach lattice sizes of only up to 642 when ϵ → 0. The critical exponents obtained in both these studies match within errors.},
doi = {10.1103/physrevd.101.074501},
journal = {Physical Review. D.},
number = 7,
volume = 101,
place = {United States},
year = {Thu Apr 02 00:00:00 EDT 2020},
month = {Thu Apr 02 00:00:00 EDT 2020}
}
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