DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Magnetism and metallicity in moiré transition metal dichalcogenides

Journal Article · · Proceedings of the National Academy of Sciences of the United States of America
 [1]; ORCiD logo [2];  [3];  [4];  [5];  [6];  [6];  [7];  [8]; ORCiD logo [9];  [3]
  1. Independent Research Group, Max-Planck-Institut für Festkörperforschung, Stuttgart 70569, Germany, Institut für Theoretische Physik and Center for Quantum Science, Universität Tübingen, Tübingen 72076, Germany
  2. Department of Physics, Columbia University, New York, NY 10027
  3. Independent Research Group, Max-Planck-Institut für Festkörperforschung, Stuttgart 70569, Germany
  4. Center for Computational Quantum Physics, Flatiron Institute, New York, NY 10010
  5. CPHT, CNRS, École Polytechnique, Institut Polytechnique de Paris, Palaiseau 91128, France
  6. Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027
  7. Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6164
  8. CPHT, CNRS, École Polytechnique, Institut Polytechnique de Paris, Palaiseau 91128, France, Collège de France, Paris 75005, France
  9. Department of Physics, Columbia University, New York, NY 10027, Center for Computational Quantum Physics, Flatiron Institute, New York, NY 10010

The ability to control the properties of twisted bilayer transition metal dichalcogenides in situ makes them an ideal platform for investigating the interplay of strong correlations and geometric frustration. Of particular interest are the low energy scales, which make it possible to experimentally access both temperature and magnetic fields that are of the order of the bandwidth or the correlation scale. In this manuscript, we analyze the moiré Hubbard model, believed to describe the low energy physics of an important subclass of the twisted bilayer compounds. We establish its magnetic and the metal–insulator phase diagram for the full range of magnetic fields up to the fully spin-polarized state. We find a rich phase diagram including fully and partially polarized insulating and metallic phases of which we determine the interplay of magnetic order, Zeeman-field, and metallicity, and make connection to recent experiments.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
AC05-00OR22725; SC0019443
OSTI ID:
2281033
Journal Information:
Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 3 Vol. 121; ISSN 0027-8424
Publisher:
Proceedings of the National Academy of SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (47)

TRIQS: A toolbox for research on interacting quantum systems journal November 2015
Dynamical vertex approximation for the two-dimensional Hubbard model journal February 2016
Correlated electronic phases in twisted bilayer transition metal dichalcogenides journal June 2020
Moiré heterostructures as a condensed-matter quantum simulator journal February 2021
Simulation of Hubbard model physics in WSe2/WS2 moiré superlattices journal March 2020
Quantum criticality in twisted transition metal dichalcogenides journal September 2021
Continuous Mott transition in semiconductor moiré superlattices journal September 2021
Electron correlations in narrow energy bands journal November 1963
Electron correlations in narrow energy bands III. An improved solution journal September 1964
Robustness of the topological quantization of the Hall conductivity for correlated lattice electrons at finite temperatures journal September 2019
Foundations of variational discrete action theory journal May 2021
Metal-insulator transition in transition metal dichalcogenide heterobilayer moiré superlattices journal June 2021
Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides journal August 2021
Electrical conductivity in the Hubbard model: Orbital effects of magnetic field journal November 2021
Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials journal September 2022
Precise ground state of multiorbital Mott systems via the variational discrete action theory journal November 2022
Superconductivity in the twisted bilayer transition metal dichalcogenide WSe2 : A quantum cluster study journal December 2022
Strongly correlated exciton-polarons in twisted homobilayer heterostructures journal December 2022
Mott transition, Widom line, and pseudogap in the half-filled triangular lattice Hubbard model journal March 2023
Gauge constrained algorithm of variational discrete action theory at N=3 for the multiorbital Hubbard model journal July 2023
Hubbard model in infinite dimensions journal March 1992
Effect of a magnetic field on Mott-Hubbard systems journal August 1994
Continuous-time quantum Monte Carlo method for fermions journal July 2005
Fate of the false Mott-Hubbard transition in two dimensions journal March 2015
Maximum entropy formalism for the analytic continuation of matrix-valued Green's functions journal October 2017
Orbital effect of the magnetic field in dynamical mean-field theory journal December 2017
Effect of Correlation on the Ferromagnetism of Transition Metals journal March 1963
Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands journal July 2018
Topological Insulators in Twisted Transition Metal Dichalcogenide Homobilayers journal February 2019
Variational Discrete Action Theory journal May 2021
Universal Magnetic Oscillations of dc Conductivity in the Incoherent Regime of Correlated Systems journal November 2021
Quantum Phases of Transition Metal Dichalcogenide Moiré Systems journal April 2022
Pair-Density-Wave and Chiral Superconductivity in Twisted Bilayer Transition Metal Dichalcogenides journal March 2023
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models journal December 1966
Correlated Lattice Fermions in d = ∞ Dimensions journal January 1989
Absence of a Slater Transition in the Two-Dimensional Hubbard Model journal October 2001
Cluster Dynamical Mean Field Analysis of the Mott Transition journal June 2004
Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe 2 journal July 2020
Real-space cluster dynamical mean-field theory: Center-focused extrapolation on the one- and two particle-levels journal September 2020
Tunable stripe order and weak superconductivity in the Moiré Hubbard model journal October 2022
Competition of density waves and superconductivity in twisted tungsten diselenide journal March 2023
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal January 1996
Quantum cluster theories journal October 2005
Continuous-time Monte Carlo methods for quantum impurity models journal May 2011
Electron Correlation and Ferromagnetism of Transition Metals journal September 1963
The Hubbard Model journal November 2021
The Hubbard Model: A Computational Perspective journal November 2021