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Solution to sign problems in models of interacting fermions and quantum spins.

Publication ,  Journal Article
Huffman, E; Chandrasekharan, S
Published in: Physical review. E
October 2016

We show that solutions to fermion sign problems that are found in the formulation where the path integral is expanded in powers of the interaction in continuous time can be extended to systems involving fermions interacting with dynamical quantum spins. While these sign problems seem unsolvable in the auxiliary field approach, solutions emerge in the world-line representation of quantum spins. Combining this idea with meron-cluster methods, we are able to further extend the class of models that are solvable. We demonstrate these solutions to sign problems by considering several examples of strongly correlated systems that contain the physics of semimetals, insulators, superfluidity, and antiferromagnetism.

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Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

October 2016

Volume

94

Issue

4-1

Start / End Page

043311

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
 

Citation

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Huffman, E., & Chandrasekharan, S. (2016). Solution to sign problems in models of interacting fermions and quantum spins. Physical Review. E, 94(4–1), 043311. https://doi.org/10.1103/physreve.94.043311
Huffman, Emilie, and Shailesh Chandrasekharan. “Solution to sign problems in models of interacting fermions and quantum spins.Physical Review. E 94, no. 4–1 (October 2016): 043311. https://doi.org/10.1103/physreve.94.043311.
Huffman E, Chandrasekharan S. Solution to sign problems in models of interacting fermions and quantum spins. Physical review E. 2016 Oct;94(4–1):043311.
Huffman, Emilie, and Shailesh Chandrasekharan. “Solution to sign problems in models of interacting fermions and quantum spins.Physical Review. E, vol. 94, no. 4–1, Oct. 2016, p. 043311. Epmc, doi:10.1103/physreve.94.043311.
Huffman E, Chandrasekharan S. Solution to sign problems in models of interacting fermions and quantum spins. Physical review E. 2016 Oct;94(4–1):043311.

Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

October 2016

Volume

94

Issue

4-1

Start / End Page

043311

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering