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Interplay of the complete-graph and Gaussian fixed-point asymptotics in finite-size scaling of percolation above the upper critical dimension.
Phys Rev E
October 2024
Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
Article Synopsis
- - This study analyzes the effects of two mean-field theories, Gaussian fixed point (GFP) and Landau mean-field theory (CG), on finite-size scaling in percolation systems nearing continuous phase transitions, particularly for dimensions greater than six.
- - Through large-scale Monte Carlo simulations, the researchers find that the correlation length behaves differently based on the type of boundary conditions applied (periodic vs cylindrical) and establishes that correlations diverge more rapidly than system size L when using periodic boundaries.
- - The findings reveal distinct scaling behaviors for one-point surface correlation functions in cylindrical geometries, as well as the influence of GFP on short-distance correlations, providing insights into critical phenomena and reinforcing theoretical calculations for correlation behavior.
Universality in long-range interacting systems: The effective dimension approach.
Phys Rev E
October 2024
CNR-INO, Area Science Park, Basovizza, I-34149 Trieste, Italy.
Dimensional correspondences have a long history in critical phenomena. Here, we review the effective dimension approach, which relates the scaling exponents of a critical system in d spatial dimensions with power-law decaying interactions r^{d+σ} to a local system, i.e.
View Article and Find Full Text PDFRespective Roles of Electron-Phonon and Electron-Electron Interactions in the Transport and Quasiparticle Properties of SrVO_{3}.
Phys Rev Lett
November 2024
Department of Applied Physics and Materials Science, and Department of Physics, California Institute of Technology, Pasadena, California 91125, USA.
The spectral and transport properties of strongly correlated metals, such as SrVO_{3} (SVO), are widely attributed to electron-electron (e-e) interactions, with lattice vibrations (phonons) playing a secondary role. Here, using first-principles electron-phonon (e-ph) and dynamical mean field theory calculations, we show that e-ph interactions play an essential role in SVO: they govern the electron scattering and resistivity in a wide temperature range down to 30 K, and induce an experimentally observed kink in the spectral function. In contrast, the e-e interactions control quasiparticle renormalization and low temperature transport, and enhance the e-ph coupling.
View Article and Find Full Text PDFImpact of correlations on nuclear binding energies: Ab initio calculations of singly and doubly open-shell nuclei.
Eur Phys J A Hadron Nucl
October 2024
Department of Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany.
A strong effort will be dedicated in the coming years to extend the reach of ab initio nuclear-structure calculations to heavy doubly open-shell nuclei. In order to do so, the most efficient strategies to incorporate dominant many-body correlations at play in such nuclei must be identified. With this motivation in mind, the present work analyses the step-by-step inclusion of many-body correlations and their impact on binding energies of Calcium and Chromium isotopes.
View Article and Find Full Text PDFStrong Pairing Originated from an Emergent Z_{2} Berry Phase in La_{3}Ni_{2}O_{7}.
Phys Rev Lett
September 2024
Institute for Advanced Study, Tsinghua University, Beijing 100084, China.
The recent discovery of high-temperature superconductivity in La_{3}Ni_{2}O_{7} offers a fresh platform for exploring unconventional pairing mechanisms. Starting with the basic argument that the electrons in d_{z^{2}} orbitals nearly form local moments, we examine the effect of the Hubbard interaction U on the binding strength of Cooper pairs based on a single-orbital bilayer model with intralayer hopping t_{∥} and interlayer superexchange J_{⊥}. By extensive density matrix renormalization group calculations, we observe a remarkable enhancement in binding energy as much as 10-20 times larger with U/t_{∥} increasing from 0 to 12 at J_{⊥}/t_{∥}∼1.
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