Magnetic orderdisorder transitions on a onethirddepleted square lattice
Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a onethird depleted square lattice. This is the geometry occupied, after charge ordering, by the spin$$\frac{1}{2}$$ Ni ^{1+} atoms in a single layer of the nickelate materials La _{4}Ni _{3}O _{8} and (predicted) La _{3}Ni _{2}O _{6}. Our model is also a description of strained graphene, where a honeycomb lattice has bond strengths which are inequivalent. For the Heisenberg case, we determine the location of the quantum critical point (QCP) where there is an onset of long range antiferromagnetic order (LRAFO), and the magnitude of the order parameter, and then compare with results of spin wave theory. An ordered phase also exists when electrons are itinerant. Finally, in this case, the growth in the antiferromagnetic structure factor coincides with the transition from band insulator to metal in the absence of interactions.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[3]}
 Beihang Univ., Beijing (China). Dept. of Physics; Univ. of California, Davis, CA (United States). Dept. of Physics
 Univ. of California, Davis, CA (United States). Dept. of Physics; Univ. Federal do Rio de Janei, Rio de Janeiro (Brazil). Inst. de Fisica
 Univ. of California, Davis, CA (United States). Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 SC0014671; FG0204ER46111
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 4; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Research Org:
 Univ. of California, Davis, CA (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1477009
 Alternate Identifier(s):
 OSTI ID: 1339772
Guo, H. M., MendesSantos, T., Pickett, W. E., and Scalettar, R. T.. Magnetic orderdisorder transitions on a onethirddepleted square lattice. United States: N. p.,
Web. doi:10.1103/PhysRevB.95.045131.
Guo, H. M., MendesSantos, T., Pickett, W. E., & Scalettar, R. T.. Magnetic orderdisorder transitions on a onethirddepleted square lattice. United States. doi:10.1103/PhysRevB.95.045131.
Guo, H. M., MendesSantos, T., Pickett, W. E., and Scalettar, R. T.. 2017.
"Magnetic orderdisorder transitions on a onethirddepleted square lattice". United States.
doi:10.1103/PhysRevB.95.045131. https://www.osti.gov/servlets/purl/1477009.
@article{osti_1477009,
title = {Magnetic orderdisorder transitions on a onethirddepleted square lattice},
author = {Guo, H. M. and MendesSantos, T. and Pickett, W. E. and Scalettar, R. T.},
abstractNote = {Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a onethird depleted square lattice. This is the geometry occupied, after charge ordering, by the spin$\frac{1}{2}$ Ni1+ atoms in a single layer of the nickelate materials La4Ni3O8 and (predicted) La3Ni2O6. Our model is also a description of strained graphene, where a honeycomb lattice has bond strengths which are inequivalent. For the Heisenberg case, we determine the location of the quantum critical point (QCP) where there is an onset of long range antiferromagnetic order (LRAFO), and the magnitude of the order parameter, and then compare with results of spin wave theory. An ordered phase also exists when electrons are itinerant. Finally, in this case, the growth in the antiferromagnetic structure factor coincides with the transition from band insulator to metal in the absence of interactions.},
doi = {10.1103/PhysRevB.95.045131},
journal = {Physical Review B},
number = 4,
volume = 95,
place = {United States},
year = {2017},
month = {1}
}