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  • Letter
  • Open Access

Sine-square deformed mean-field theory

Masataka Kawano* and Chisa Hotta

  • Department of Basic Science, University of Tokyo, Meguro-ku, Tokyo 153-8902, Japan

  • *kawano@g.ecc.u-tokyo.ac.jp
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Phys. Rev. Research 4, L012033 – Published 18 March, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L012033

Abstract

We develop a theory that accurately evaluates quantum phases with any large-scale emergent structures, including incommensurate density waves or topological textures without a priori knowing their periodicity. We spatially deform a real-space mean-field Hamiltonian on a finite-size cluster using a sine-squared envelope function with zero energy at system edges. The wave functions become insensitive to the misfit of the lattice and ordering periods. We successfully extract the ordering wave vectors by our deformed Fourier transformation, updating the previous results for hole-doped and spin-orbit-coupled Mott insulators. The method further enables the evaluation of a charge gap beyond the mean-field level.

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Phys. Rev. Research 4, L012033– Published 18 March, 2022
  • Received 25 October 2021
  • Accepted 14 February 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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