Wrapping Corrections for Long-Range Spin Chains.

Phys Rev Lett

MTA-ELTE "Momentum" Integrable Quantum Dynamics Research Group, Department of Theoretical Physics, Eötvös Loránd University, H-1117 Budapest, Pázmány Péter sétány 1/A, Hungary and Holographic QFT Group, Wigner Research Centre for Physics, H-1121 Budapest, Konkoly-Thege Miklós út 29-33, Hungary.

Published: December 2022

The long-range spin chains play an important role in the gauge-string duality. The aim of this Letter is to generalize the recently introduced transfer matrices of integrable medium-range spin chains to long-range models. These transfer matrices define a large set of conserved charges for every length of the spin chain. These charges agree with the original definition of long-range spin chains for infinite length. However, our construction works for every length, providing the definition of integrable finite-size long-range spin chains whose spectrum already contains the wrapping corrections.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevLett.129.270201DOI Listing

Publication Analysis

Top Keywords

spin chains
20
long-range spin
16
wrapping corrections
8
chains long-range
8
transfer matrices
8
spin
6
long-range
5
chains
5
corrections long-range
4
chains play
4

Similar Publications

Topological design of π electrons in zigzag-edged graphene nanoribbons (ZGNRs) leads to a wealth of magnetic quantum phenomena and exotic quantum phases. Symmetric ZGNRs typically show antiferromagnetically coupled spin-ordered edge states. Eliminating cross-edge magnetic coupling in ZGNRs not only enables the realization of a class of ferromagnetic quantum spin chains, enabling the exploration of quantum spin physics and entanglement of multiple qubits in the one-dimensional limit, but also establishes a long-sought-after carbon-based ferromagnetic transport channel, pivotal for ultimate scaling of GNR-based quantum electronics.

View Article and Find Full Text PDF

A generalized extraction procedure for magnetic interactions using effective Hamiltonians is presented that is applicable to systems with more than two sites featuring local spins ≥ 1. To this end, closed, nonrecursive expressions pertaining to chains of arbitrary equal spins are derived with the graphical method of angular momentum. The method is illustrated by extracting magnetic couplings from ab initio calculations on a [CaMnO] cubane.

View Article and Find Full Text PDF

Exploring the Interaction of 3-Hydroxy-4-pyridinone Chelators with Liposome Membrane Models: Insights from DSC and EPR Analysis.

Molecules

December 2024

REQUIMTE, LAQV, Instituto de Ciências Biomédicas de Abel Salazar, Universidade do Porto, Rua Jorge Viterbo Ferreira, 228, 4050-313 Porto, Portugal.

In this study, we synthesized a series of 3-hydroxy-4-pyridinone (3,4-HPO) chelators with varying lipophilicity by modifying the length of their alkyl chains. To investigate their interaction with lipid membranes, we employed differential scanning calorimetry (DSC) and electron paramagnetic resonance (EPR) spectroscopy using dimyristoylphosphatidylcholine (DMPC) and palmitoyloleoylphosphatidylcholine (POPC) liposomes as membrane model systems. DSC experiments on DMPC liposomes revealed that hexyl-substituted chelators significantly altered the thermotropic phase behavior of the lipid bilayer, indicating their potential as membrane property modulators.

View Article and Find Full Text PDF

Predictive Complexity of Quantum Subsystems.

Entropy (Basel)

December 2024

Department of Physics, University of Maryland, College Park, MD 20742-4111, USA.

We define predictive states and predictive complexity for quantum systems composed of distinct subsystems. This complexity is a generalization of entanglement entropy. It is inspired by the statistical or forecasting complexity of predictive state analysis of stochastic and complex systems theory but is intrinsically quantum.

View Article and Find Full Text PDF

Superdiffusion is surprisingly easily observed even in systems without the integrability underpinning this phenomenon. Indeed, the classical Heisenberg chain-one of the simplest many-body systems, and firmly believed to be nonintegrable-evinces a long-lived regime of anomalous, superdiffusive spin dynamics at finite temperature. Similarly, superdiffusion persists for long timescales, even at high temperature, for small perturbations around a related integrable model.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!