2014
DOI: 10.1103/physrevlett.112.156403
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Competing Orders in the 2D Half-FilledSU(2N)Hubbard Model through the Pinning-Field Quantum Monte Carlo Simulations

Abstract: We nonperturbatively investigate the ground state magnetic properties of the 2D half-filled SU(2N) Hubbard model in the square lattice by using the projector determinant quantum Monte Carlo simulations combined with the method of local pinning fields. Long-range Néel orders are found for both the SU(4) and SU(6) cases at small and intermediate values of U. In both cases, the long-range Néel moments exhibit nonmonotonic behavior with respect to U, which first grow and then drop as U increases. This result is fu… Show more

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Cited by 65 publications
(79 citation statements)
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“…For the Hubbard models studied here, all the converged self-consistent DMET solutions explicitly break S 2 symmetry. In one dimension, we compare our results against exact results from the Bethe ansatz (BA), while in two dimensions, we compare to literature benchmark data from AFQMC calculations scaled to the TDL [17,18,28], DMRG calculations scaled to the TDL [14], and iPEPS calculations scaled to zero truncation error [41].…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…For the Hubbard models studied here, all the converged self-consistent DMET solutions explicitly break S 2 symmetry. In one dimension, we compare our results against exact results from the Bethe ansatz (BA), while in two dimensions, we compare to literature benchmark data from AFQMC calculations scaled to the TDL [17,18,28], DMRG calculations scaled to the TDL [14], and iPEPS calculations scaled to zero truncation error [41].…”
Section: Resultsmentioning
confidence: 99%
“…For U/t = 2, it appears advantageous to use the DCA-DMET formulation already for clusters of size L c 4, while at U/t = 4,6 it appears necessary to go to clusters larger than the largest linear size used in this study, L c = 10. [27], pinning field QMC simulations by Wu and coworkers [28], AFQMC with TABC by Qin et al [18] and the modified boundary conditions by Sorella [17].…”
Section: B 2d Hubbard Modelmentioning
confidence: 99%
“…As expected, the VBS correlation function S f VBS (q q q) for N = 2 is featureless and lattice-size independent throughout the transition confirming that the SU(2) KLM is dominated by magnetic fluctuations. Given numerical evidence for enhanced columnar q q q = (π, 0) dimer correlations in SU(N ) Hubbard and Heisenberg models [66][67][68][69][70][71][72][73][74][75], one could expect that the same physics shows up in the SU(N ) KLM. In contrast, even though the lineshape of S f VBS (q q q) gets sharper at N = 4, a dominant cusp feature is found at the AF wavevector Q Q Q = (π, π), see Figs.…”
Section: E Vbs Correlation Functionmentioning
confidence: 99%
“…The inter-atomic interactions which depend (primarily) on the electronic configurations thus become independent of nuclear spins. This realizes the so-called SU (N ) symmetries, where N is the number of nuclear spin components [8][9][10][11][12][13][14][15]. The OFR relies on the atoms residing on both the s and p-states which possess slight different Landé g-factors [16,17], thus allowing tuning by external magnetic field.…”
mentioning
confidence: 99%