Fermi Surface Reconstruction without Symmetry Breaking

Snir Gazit, Fakher F. Assaad, Subir Sachdev

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Abstract

We present a sign-problem-free quantum Monte Carlo study of a model that exhibits quantum phase transitions without symmetry breaking and associated changes in the size of the Fermi surface. The model is an Ising gauge theory on the square lattice coupled to an Ising matter field and spinful "orthogonal"fermions at half filling, both carrying Ising gauge charges. In contrast to previous studies, our model hosts an electronlike, gauge-neutral fermion excitation providing access to Fermi-liquid phases. One of the phases of the model is a previously studied orthogonal semimetal, which has Z2 topological order and Luttinger-volume-violating Fermi points with gapless orthogonal fermion excitations. We elucidate the global phase diagram of the model: Along with a conventional Fermi-liquid phase with a large Luttinger-volume Fermi surface, we also find a "deconfined"Fermi liquid in which the large Fermi surface coexists with fractionalized excitations. We present results for the electron spectral function, showing its evolution from the orthogonal semimetal with a spectral weight near momenta {±p/2,±p/2} to a large Fermi surface.

Original languageAmerican English
Article number041057
JournalPhysical Review X
Volume10
Issue number4
DOIs
StatePublished - 21 Dec 2020

Bibliographical note

Funding Information:
We thank Ashvin Vishwanath, Aavishkar A. Patel, and Amit Keren for useful discussions. S. G. acknowledges support from the Israel Science Foundation, Grant No. 1686/18. S. S. was supported by the National Science Foundation (NSF) under Grant No. DMR-1664842. S. S. was also supported by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (No. 651440). F. F. A. thanks the Deutsche Forschungsgemeinschaft collaborative research center SFB1170 ToCoTronics (Project No. C01) for financial support as well as the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter ct.qmat (EXC 2147, Project-id No. 390858490). This work was partially performed at the Kavli Institute for Theoretical Physics (NSF Grant No. PHY-1748958). F. F. A. gratefully acknowledges the Gauss Centre for Supercomputing (GCS) e.V. for funding this project by providing computing time on the GCS Supercomputer SUPERMUC-NG at the Leibniz Supercomputing Centre. This research used the Lawrencium computational cluster resource provided by the IT Division at the Lawrence Berkeley National Laboratory (supported by the Director, Office of Science, Office of Basic Energy Sciences, of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231) and the Intel Labs Academic Compute Environment.

Funding Information:
We thank Ashvin Vishwanath, Aavishkar A. Patel, and Amit Keren for useful discussions. S.?G. acknowledges support from the Israel Science Foundation, Grant No. 1686/18. S.?S. was supported by the National Science Foundation (NSF) under Grant No. DMR-1664842. S.?S. was also supported by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (No. 651440). F.?F.?A. thanks the Deutsche Forschungsgemeinschaft collaborative research center SFB1170 ToCoTronics (Project No. C01) for financial support as well as the Wurzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter ct.qmat (EXC 2147, Project-id No. 390858490). This work was partially performed at the Kavli Institute for Theoretical Physics (NSF Grant No. PHY-1748958). F.?F.?A. gratefully acknowledges the Gauss Centre for Supercomputing (GCS) e.V. for funding this project by providing computing time on the GCS Supercomputer SUPERMUC-NG at the Leibniz Supercomputing Centre. This research used the Lawrencium computational cluster resource provided by the IT Division at the Lawrence Berkeley National Laboratory (supported by the Director, Office of Science, Office of Basic Energy Sciences, of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231) and the Intel Labs Academic Compute Environment.

Publisher Copyright:
© 2020 authors. Published by the American Physical Society.

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