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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 PDFMachine-Learning Modeling of Elemental Ferroelectric Bismuth Monolayer.
Phys Rev Lett
December 2024
Xi'an Jiaotong University, School of Microelectronics & State Key Laboratory for Mechanical Behavior of Materials, Xi'an 710049, China.
The bismuth monolayer has recently been experimentally identified as a novel platform for the investigation of two-dimensional single-element ferroelectric system. Here, we model the potential energy surface of a bismuth monolayer by employing a message-passing neural network and achieve an error smaller than 1.2Â meV per atom.
View Article and Find Full Text PDFAnalytical Model for Atomic Relaxation in Twisted Moiré Materials.
Phys Rev Lett
December 2024
National University of Singapore, Department of Materials Science and Engineering, 9 Engineering Drive 1, Singapore 117575.
By virtue of being atomically thin, the electronic properties of heterostructures built from two-dimensional materials are strongly influenced by atomic relaxation. The atomic layers behave as flexible membranes rather than rigid crystals. Here we develop an analytical theory of lattice relaxation in twisted moiré materials.
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 PDFHybrid additive manufacturing for Zn-Mg casting for biomedical application.
In Vitro Model
December 2024
Department of Industrial and Manufacturing Engineering, Pennsylvania State University, State College, University Park, PA USA.
Zinc (Zn) and its alloys have been the focus of recent materials and manufacturing research for orthopaedic implants due to their favorable characteristics including desirable mechanical strength, biodegradability, and biocompatibility. In this research, a novel process involving additive manufacturing (AM) augmented casting was employed to fabricate zinc-magnesium (Zn-0.8Â Mg) artifacts with surface lattices composed of triply periodic minimal surfaces (TPMS), specifically gyroid.
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