Department of Bioscience & Bioengineering

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IIT Jodhpur

The Heisenberg equation of motion for the surface spin operator in a semi-infinite S=1/2 XY chain is exactly solved at infinite temperatures via the recurrence-relations method of Lee. It is found that the time evolution of the surface spin shows Bessel-like on-site relaxation that is drastically different from the corresponding Gaussian relaxation of a bulk spin. This difference is shown to be related to broken translational symmetry in the former case. The memory function and the random force for the surface spin is exactly determined. It is found that the surface spin dynamics is, in some sense, "harmonic" in nature. © 1991 The American Physical Society.

Physical Review B

Exact solution of the Heisenberg equation of motion for the surface spin in a semi-infinite S=1/2 XY chain at infinite temperatures

The time evolution of a spin operator Sjx(t) in a nearest-neighbor S=1/2 semi-infinite XY chain is considered at T=. It is shown that the surface spin relaxes very differently compared to the subsurface spin, which already behaves like a bulk spin. The transition from surface to bulk dynamics is discussed using the recurrence-relations method of solving the Heisenberg equation of motion. © 1991 The American Physical Society.

World University root node

Transition from surface-spin to bulk-spin relaxation in an S=1/2 nearest-neighbor XY chain at infinite temperature

Discovery of Imidazole-based GSK3β Inhibitors for Transdifferentiation of Human Mesenchymal Stem Cells to Neurons: A Potential Single-Molecule Neurotherapeutic Foresight

Fluorine Substituted Proline Enhances Tubulin Binding Potential of a Tetrapeptide at GTP Binding Pocket Causing Inhibition of Microtubule Motility and Antimitotic Effect

Effect of Gold Nanoparticles on the Structure and Neuroprotective Function of Protein L-isoaspartyl methyltransferase (PIMT)

Vanillin Benzothiazole Derivative Reduces Cellular ROS and Detects Amyloid Fibrillar Aggregates in Alzheimer’s Brain

In vitro reconstitution of a cellular like environment using liposome for Aβ peptide aggregation, its propagation, peptide-lipid interaction and drug screening

Short Peptoid Evolved from Key Hydrophobic Stretch of Amyloid-β42 Peptide Serve as Potent Therapeutic Lead of Alzheimer’s Disease

Self-assembled Antimitotic Peptide Vesicle Designed from α,β-Tubulin Heterodimer Interface for Anticancer Drug Delivery

A Rapid and Easy-to-Perform Method of Nucleic-Acid based Dengue Virus Diagnosis using Fluorescence-based Molecular Beacons