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Exact Quantization of Topological Order Parameter in SU(N) Spin Models, N-ality Transformation and Ingappabilities.
Phys Rev Lett
December 2024
RIKEN, Condensed Matter Theory Laboratory, CPR, Wako, Saitama 351-0198, Japan.
We show that the ground-state expectation value of twisting operator is a topological order parameter for U(1)- and Z_{N}-symmetric symmetry-protected topological (SPT) phases in one-dimensional "spin" systems-it is quantized in the thermodynamic limit and can be used to identify different SPT phases and to diagnose phase transitions among them. We prove that this (nonlocal) order parameter must take values in Nth roots of unity, and its value can be changed by a generalized lattice translation acting as an N-ality transformation connecting distinct phases. This result also implies the Lieb-Schultz-Mattis (LSM) ingappability for SU(N) spins if we further impose a general translation symmetry.
View Article and Find Full Text PDFExceptional Point and Hysteresis in Perturbations of Kerr Black Holes.
Phys Rev Lett
December 2024
Universidade Federal de Pernambuco, Departamento de FÃsica, 50670-901, Recife, Brazil.
We employ the isomonodromic method to study linear scalar massive perturbations of Kerr black holes for generic scalar masses Mμ and generic black hole spins a/M. We find that the longest-living quasinormal mode and the first overtone coincide for (Mμ)_{c}≃0.370 4981 and (a/M)_{c}≃0.
View Article and Find Full Text PDFFerromagnetic Semimetal and Charge-Density Wave Phases of Interacting Electrons in a Honeycomb Moiré Potential.
Phys Rev Lett
December 2024
Flatiron Institute, Center for Computational Quantum Physics, New York, New York 10010, USA.
The exploration of quantum phases in moiré systems has drawn intense experimental and theoretical efforts. The realization of honeycomb symmetry has been a recent focus. The combination of strong interaction and honeycomb symmetry can lead to exotic electronic states such as fractional Chern insulator, unconventional superconductor, and quantum spin liquid.
View Article and Find Full Text PDFPhysiological effects of hand grip and cold pressor tests in young Saudi adults.
J Med Life
December 2024
Department of Basic Sciences, College of Science and Health Professions (COSHP), King Saud bin Abdulaziz University for Health Sciences (KSAU-HS), Jeddah, Saudi Arabia.
The risk of cardiovascular disease differs among various ethnic groups, highlighting disparities in cardiovascular health among different populations. While multiple studies from other countries have looked at changes in physiological parameters during autonomic function tests like isometric handgrip and cold pressor tests, no correlational research has been done in Saudi Arabia. This lacuna underscores the importance of examining the relationship between cardiorespiratory parameters in young Saudi Arabian individuals during these tests.
View Article and Find Full Text PDFPrecision glass molding (PGM) technology, as an efficient and straightforward method for producing glass lenses, has been widely applied in the mass production of aspheric glass lenses. However, molding complex surfaces such as free-form and array surfaces is still in its infancy. To reveal the variations of temperature and stress of microlens array (MLA) optical elements during the molding process, a simulation model was established using the finite element method (FEM), and the heating and forming stages of a chalcogenide glass MLA optical element were studied.
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