A5041920407- Analytic Number Theory Research
- Mathematics and Applications
- Physics of Superconductivity and Magnetism
- History and Theory of Mathematics
- Cold Atom Physics and Bose-Einstein Condensates
- Advanced Condensed Matter Physics
- Quantum many-body systems
- Advanced Mathematical Theories
- Algebraic Geometry and Number Theory
- Advanced Mathematical Identities
- Quantum and electron transport phenomena
- Quantum, superfluid, helium dynamics
- Black Holes and Theoretical Physics
- Computability, Logic, AI Algorithms
- Limits and Structures in Graph Theory
- Theoretical and Computational Physics
- Rare-earth and actinide compounds
- Magnetic Properties and Applications
- graph theory and CDMA systems
- Opinion Dynamics and Social Influence
- Magnetic properties of thin films
- 2D Materials and Applications
- Advanced Algebra and Geometry
- Semiconductor Quantum Structures and Devices
- Advanced Differential Equations and Dynamical Systems
Max Planck Institute for the Physics of Complex Systems
2023-2025
Coventry University
2025
Computational Physics (United States)
2025
University of St Andrews
2014-2024
Scottish Universities Physics Alliance
2007-2024
Cardiff University
2001-2018
Universidade Federal de São Carlos
2012
University of Birmingham
2001-2006
Rutgers, The State University of New Jersey
2001-2002
University of Wales
1977-2000
We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to strong electric field. In the non-interacting case, due Wannier-Stark localization, single-particle wave functions are exponentially localized even though model has no quenched disorder. show that this system remains in presence of interactions exhibits physics analogous models conventional many-body localization (MBL). particular, entanglement entropy grows...
Band inversions are key to stabilising a variety of novel electronic states in solids, from topological surface inverted bulk band gaps insulators the formation symmetry-protected three-dimensional Dirac and Weyl points nodal-line semimetals. Here, we create inversion not states, but rather between manifolds states. We realise this by aliovalent substitution Nb for Zr Sb S ZrSiS family nonsymmorphic Using angle-resolved photoemission density-functional theory, show how two pairs known ZrSiS,...
In this paper, we describe animations and animated visualizations for introductory intermediate-level quantum mechanics instruction developed at the University of St Andrews. The aim to help students build mental representations concepts. They focus on known areas student difficulty misconceptions by including step-by-step explanations key points. are freely available, with additional resources available instructors. We have investigated their educational effectiveness both in terms attitude...
Quantum matter is everywhere, from the interiors of neutron stars to electrons in everyday metals. Like ordinary, classical matter, it made up many interacting particles. In however, possible think each particle as an individual entity, whereas quantum Heisenberg's uncertainty principle prevents us telling particles apart: their behaviour can only be described collectively. spite this, types are well understood a theoretical point view. For example, "electron liquid" that responsible for...
as x ~ , for which many other interesting results in the theory of numbers we are indebted to Chebyshev, has a t racted interest several mathematicians. Revealed posthumously little more than fragment one Chebyshev's manuscripts, theorem was first published and fully proved memoir by Markov 1895 [6], while later same year generalisation Ivanov [4] appeared polynomial n2§ 1 replaced n2+A any positive A (an account both Markov's ' s work is be found Paragraphs 147 149 Landau's Primzahlen [5])....
We describe a collection of interactive animations and visualizations for teaching quantum mechanics. The can be used at all levels the undergraduate curriculum. Each animation includes step-by-step exploration that explains key points. instructor resources are freely available. By using diagnostic survey, we report substantial learning gains students who have worked with animations.
We report the evolution of electronic structure at surface layered perovskite Sr_{2}RuO_{4} under large in-plane uniaxial compression, leading to anisotropic B_{1g} strains ϵ_{xx}-ϵ_{yy}=-0.9±0.1%. From angle-resolved photoemission, we show how this drives a sequence Lifshitz transitions, reshaping low-energy and rich spectrum van Hove singularities that layer hosts. comparison tight-binding modeling, find strain is accommodated predominantly by bond-length changes rather than modifications...
We explore the physics of disordered XYZ spin chain using two complementary numerical techniques: exact diagonalization (ED) on chains up to 17 spins, and time-evolving block decimation (TEBD) 400 spins. Our principal findings are as follows. First, clean shows ballistic energy transport for all parameter values that we investigated. Second, weak disorder there is a stable diffusive region persists critical strength depends XY anisotropy. Third, strengths above this value becomes...
Polar distortions in solids give rise to the well-known functionality of switchable macroscopic polarisation ferroelectrics and, when combined with strong spin-orbit coupling, can mediate giant spin splittings electronic states. While typically found insulators, ferroelectric-like remain robust against increasing itineracy, giving so-called "polar metals". Here, we investigate temperature-dependent structure Ca$_3$Ru$_2$O$_7$, a correlated oxide metal which octahedral tilts and rotations...
Time evolution in several classes of quantum devices is generated through the application gates. Resetting a critical technological feature these systems allowing for mid-circuit measurement and complete or partial qubit reset. The possibility realizing discrete-time reset dynamics on computers makes it important to investigate steady-state properties such dynamics. Here, we explore behavior generic unitary interspersed by random events. For Poissonian resets, compute stationary state...
We consider a single atom in an optical lattice, subject to harmonic trapping potential. The problem is treated the tight-binding approximation, with extra parameter \kappa denoting strength of trap. It shown that \to 0 limit this singular, sense density states for very shallow trap (\kappa 0) {\it qualitatively different} from translationally invariant lattice = 0). physics difference discussed, and densities wave functions are exhibited explained.