TY - JOUR
T1 - Local moments versus itinerant antiferromagnetism
T2 - Magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
AU - Raczkowski, Marcin
AU - Assaad, Fakher F.
AU - Imada, Masatoshi
N1 - Funding Information:
We would like to acknowledge enlightening discussions with B. Lenz, K. Takai, and Y. Yamaji. This work was supported by the German Research Foundation (DFG) through Grant No. RA 2990/1-1. F.F.A. acknowledges financial support from the DFG through the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter - ct.qmat (EXC 2147, Project-ID 39085490) as well as through the SFB 1170 ToCoTronics. M.I. acknowledges the support by MEXT as “Program for Promoting Researches on the Supercomputer Fugaku” (Basic Science for Emergence and Functionality in Quantum Matter and the HPCI project HP200132) and KANKEHI (Grant No. 16H16345). The authors gratefully acknowledge the Gauss Centre for Supercomputing e.V. for funding this project by providing computing time through the John von Neumann Institute for Computing (NIC) on the GCS Supercomputer JUWELS at Jülich Supercomputing Centre (JSC).
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/3/17
Y1 - 2021/3/17
N2 - Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain t and interchain t hopping amplitudes at half filling. A fixed value of the next-nearest-neighbor hopping t′=-t/2 removes the nesting property of the Fermi surface and stabilizes a paramagnetic metal phase in the weak-coupling regime. In the isotropic and moderately anisotropic regions, a growing spin entropy in the metal phase is quenched out at a critical interaction strength by the onset of long-range antiferromagnetic (AF) order of preformed local moments. It gives rise to a first-order metal-insulator transition consistent with the Mott-Heisenberg picture. In contrast, a strongly anisotropic regime t/t0.3 displays a quantum critical behavior related to the continuous transition between an AF metal phase and the AF insulator. Hence, within the present framework of CDMFT, the opening of the charge gap is magnetically driven as advocated in the Slater picture. We also discuss how the lattice-anisotropy-induced evolution of the electronic structure on a metallic side of the phase diagram is tied to the emergence of quantum criticality.
AB - Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain t and interchain t hopping amplitudes at half filling. A fixed value of the next-nearest-neighbor hopping t′=-t/2 removes the nesting property of the Fermi surface and stabilizes a paramagnetic metal phase in the weak-coupling regime. In the isotropic and moderately anisotropic regions, a growing spin entropy in the metal phase is quenched out at a critical interaction strength by the onset of long-range antiferromagnetic (AF) order of preformed local moments. It gives rise to a first-order metal-insulator transition consistent with the Mott-Heisenberg picture. In contrast, a strongly anisotropic regime t/t0.3 displays a quantum critical behavior related to the continuous transition between an AF metal phase and the AF insulator. Hence, within the present framework of CDMFT, the opening of the charge gap is magnetically driven as advocated in the Slater picture. We also discuss how the lattice-anisotropy-induced evolution of the electronic structure on a metallic side of the phase diagram is tied to the emergence of quantum criticality.
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U2 - 10.1103/PhysRevB.103.125137
DO - 10.1103/PhysRevB.103.125137
M3 - Article
AN - SCOPUS:85104266083
VL - 103
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 2469-9950
IS - 12
M1 - 125137
ER -