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Title: Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model

Using determinant quantum Monte Carlo (DQMC) simulations, we systematically study the doping dependence of the crossover from one to two dimensions and its impact on the magnetic properties of the Hubbard model. A square lattice of chains is used, in which the dimensionality can be tuned by varying the interchain coupling t . The dynamical spin structure factor and static quantities, such as the static spin susceptibility and nearest-neighbor spin correlation function, are characterized in the one- and two-dimensional limits as a benchmark. When the dimensionality is tuned between these limits, the magnetic properties, while evolving smoothly from one to two dimensions, drastically change regardless of the doping level. This suggests that the spin excitations in the two-dimensional Hubbard model, even in the heavily doped case, cannot be explained using the spinon picture known from one dimension. In conclusion, the DQMC calculations are complemented by cluster perturbation theory studies to form a more complete picture of how the crossover occurs as a function of doping and how doped holes impact magnetic order.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6] ;  [7] ;  [8] ;  [9] ;  [4]
  1. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States); Ecole Polytechnique Federale de Lausanne (EPFL), Lausanne (Switzerland)
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of Warsaw, Warsaw (Poland)
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
  5. Univ. of Alabama, Birmingham, AL (United States)
  6. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  7. Univ. of Tennessee, Knoxville, TN (United States)
  8. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of North Dakota, Grand Forks, ND (United States)
  9. Ecole Polytechnique Federale de Lausanne (EPFL), Lausanne (Switzerland)
Publication Date:
Grant/Contract Number:
AC02-76SF00515; AC02-05CH11231; 1147470; 2012/04/A/ST3/00331; 2016/22/E/ST3/00560
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 19; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE
OSTI Identifier:
1410543
Alternate Identifier(s):
OSTI ID: 1406656; OSTI ID: 1418216

Kung, Y. F., Bazin, C., Wohlfeld, K., Wang, Yao, Chen, C. -C., Jia, C. J., Johnston, S., Moritz, B., Mila, F., and Devereaux, T. P.. Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model. United States: N. p., Web. doi:10.1103/PhysRevB.96.195106.
Kung, Y. F., Bazin, C., Wohlfeld, K., Wang, Yao, Chen, C. -C., Jia, C. J., Johnston, S., Moritz, B., Mila, F., & Devereaux, T. P.. Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model. United States. doi:10.1103/PhysRevB.96.195106.
Kung, Y. F., Bazin, C., Wohlfeld, K., Wang, Yao, Chen, C. -C., Jia, C. J., Johnston, S., Moritz, B., Mila, F., and Devereaux, T. P.. 2017. "Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model". United States. doi:10.1103/PhysRevB.96.195106. https://www.osti.gov/servlets/purl/1410543.
@article{osti_1410543,
title = {Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model},
author = {Kung, Y. F. and Bazin, C. and Wohlfeld, K. and Wang, Yao and Chen, C. -C. and Jia, C. J. and Johnston, S. and Moritz, B. and Mila, F. and Devereaux, T. P.},
abstractNote = {Using determinant quantum Monte Carlo (DQMC) simulations, we systematically study the doping dependence of the crossover from one to two dimensions and its impact on the magnetic properties of the Hubbard model. A square lattice of chains is used, in which the dimensionality can be tuned by varying the interchain coupling t⊥. The dynamical spin structure factor and static quantities, such as the static spin susceptibility and nearest-neighbor spin correlation function, are characterized in the one- and two-dimensional limits as a benchmark. When the dimensionality is tuned between these limits, the magnetic properties, while evolving smoothly from one to two dimensions, drastically change regardless of the doping level. This suggests that the spin excitations in the two-dimensional Hubbard model, even in the heavily doped case, cannot be explained using the spinon picture known from one dimension. In conclusion, the DQMC calculations are complemented by cluster perturbation theory studies to form a more complete picture of how the crossover occurs as a function of doping and how doped holes impact magnetic order.},
doi = {10.1103/PhysRevB.96.195106},
journal = {Physical Review B},
number = 19,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}