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In the Mott insulating phase of the transition metal oxides, the effective orbital-orbital interaction is directional both in orbital space and in real space. We discuss a classical realization of directional coupling in two dimensions. Despite extensive degeneracy of the ground state, the model exhibits partial orbital ordering in the form of directional ordering of fluctuations at low temperatures stabilized by an entropy gap. Transition to the disordered phase is shown to be in the Ising universality class through exact mapping and multicanonical Monte Carlo simulations.
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http://dx.doi.org/10.1103/PhysRevLett.93.207201 | DOI Listing |
Philos Trans A Math Phys Eng Sci
September 2025
Niels Bohr Institute, University of Copenhagen, Kobenhavn, Capital Region of Denmark 2100, Denmark.
Increasing evidence suggests that active matter exhibits instances of mixed symmetry that cannot be fully described by either polar or nematic formalism. Here, we introduce a minimal model that integrates self-propulsion into the active nematic framework. Our linear stability analyses reveal how self-propulsion shifts the onset of instability, fundamentally altering the dynamical landscape.
View Article and Find Full Text PDFPhilos Trans A Math Phys Eng Sci
September 2025
Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK.
Nature uses elongated shapes and filaments to build stable structures, generate motion and allow complex geometric interactions. In this review, we examine the role of biological filaments across different length scales. From the molecular scale, where cytoskeletal filaments provide a robust but dynamic cellular scaffolding, over the scale of cellular appendages like cilia and flagella, to the scale of filamentous microorganisms like cyanobacteria, among the most successful genera on Earth, and even to the scale of elongated animals like worms and snakes, whose motility modes inspire robotic analogues.
View Article and Find Full Text PDFLight Sci Appl
September 2025
National Laboratory of Solid State Microstructures, Key Laboratory of Intelligent Optical Sensing and Manipulation, College of Engineering and Applied Sciences, Nanjing University, 210023, Nanjing, China.
Planar optical elements incorporating space-varying Pancharatnam-Berry phase have revolutionized the manipulation of light fields by enabling continuous control over amplitude, phase, and polarization. While previous research focusing on linear functionalities using apolar liquid crystals (LCs) has attracted much attention, extending this concept to the nonlinear regime offers unprecedented opportunities for advanced optical processing. Here, we demonstrate the reconfigurable nonlinear Pancharatnam-Berry LC diffractive optics in photopatterned ion-doped ferroelectric nematics.
View Article and Find Full Text PDFAnal Chem
September 2025
School of Agricultural Engineering, Key Laboratory of Modern Agricultural Equipment and Technology (Ministry of Education), Jiangsu University, Zhenjiang, Jiangsu 212013, PR China.
To balance the "detection sensitivity" and "device stability" of the organic photoelectrochemical transistor (OPECT) aptasensors, it has become an urgent challenge for achieving effective signal modulation under low ascorbic acid (AA) conditions. To address this, our work proposed a collaborative optimization strategy by coupling heterojunction engineering with interfacial molecular modulation, to endow a high current gain of OPECT with low-AA -dependence. First, a CdZnS-SnInS heterojunction gate was constructed by in situ growth of CdZnS quantum dots (QDs) on SnInS nanoflowers, which enhanced the light trapping ability and photoelectric conversion efficiency of the photoactive gate.
View Article and Find Full Text PDFSci Justice
September 2025
College of Science and Engineering, Flinders University, Bedford Park, South Australia, Australia.
DNA transfer events have been well researched in the context of commonly found items at crime scenes. However, whilst animals are a common feature of most households, transfer events involving companion animals have been understudied. Recent research has shown that dogs and cats are a reservoir of human DNA that can transfer to a hand or sterile object after a short contact.
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