Suchen nach: world's smallest vacuum
• 9/2012 • Seite 41Of symmetries, symmetry classes, and symmetric spaces
From disorder and quantum chaos to topological insulators
Quantum mechanical systems with some degree of complexity due to multiple scattering behave as if their Hamiltonians were random matrices. Such behavior, while originally surmised for the interacting many-body system of highly excited atomic nuclei, was later discovered in a variety of situations including single-particle systems with disorder or chaos. A fascinating theme in this context is the emergence of universal laws for the fluctuations of energy spectra and transport observables. After an introduction to the basic phenomenology, the talk highlights the role of symmetries for universality, in particular the correspondence between symmetry classes and symmetric spaces that led to a classification scheme dubbed the “Tenfold Way”. Perhaps surprisingly, the same scheme has turned out to organize also the world of topological insulators.
Let me begin by expressing that I feel greatly honored to be this year’s recipient of the Max-Planck medal, and I appreciate the opportunity to give a talk on some of the work that may have earned me this distinction. To set the stage and give you a flavor of what is to come, let me remind you of the old but still fascinating story of universal conductance fluctuations (UCF). Predicted theoretically in the middle of the 1980s by Altshuler [1] and by Lee and Stone [2], UCF was investigated in a large number of experiments. It was found that in a great variety of different mesoscopic systems − such as a small gold ring for example, or an even smaller silicon MOSFET − the electrical conductance displays characteristic fluctuations of the order of one when expressed in units of the conductance quantum e2/h (Fig. 1). What is most remarkable is that the size of the fluctuations in a broad range of parameters does not depend on the system dimension, the disorder strength, etc., but only on a few fundamental symmetries.
It was realized early on that there exists a close connection with the fluctuations that had been observed decades earlier in the scattering cross section of slow neutrons on atomic nuclei. This far reaching connection is at the very root of what I have to say. It led, among other things, to the development of a broad framework in which to model and calculate mesoscopic effects such as UCF. ...
• 10/2010 • Seite 58
Transport across membranes: Multiple drug resistance, mechanisms, and new tools
462. WE-Heraeus-Seminar
• 10/2010 • Seite 58
Sustainable Electronic Materials
Internationale Wilhelm und Else Heraeus-Sommerschule
• 9/2007 • Seite 53
Stopping spins spinning
The magnetic moment or "spin" of an individual electron is an unimaginably tiny quantity. It is so small that it was only during the past few years that it became possible to detect single spins in solids, manipulate them and directly study their behaviour. Special spin memory devices have been developed that enable the optical generation of single charges in semiconductor artificial atoms. Remarkably, the spin of these charges can be programmed by the polarisation of the photons used to create them. Localising spins in such nanostructures dramatically suppresses their coupling to the outside world, making them potentially useful for quantum information processing.
• 7/2003 • Seite 57
Heavy quarks and leptons in particle physics
The concept of quarks and leptons as the basis for the understanding of the fundamental structure of matter and forces was established in the late sixties and early seventies, culminating in the discovery of the J/ψ particle in the so-called ''November revolution'' of 1974. This particle was subsequently interpreted as the bound state of a new heavy quark, the charm quark, and its antiparticle. The subsequent discovery of the heavy lepton, the τ, and the even heavier bottom and top quarks completed the picture of the fermion content of the Standard Model of particle physics.
• 5/2002 • Seite 41
Cold Molecules
During the last years there has been a rapidly growing interest in the field of cold molecules. This has obviously been inspired by the spectacular successes in the closely related field of cold atoms, which have recently been recognized by the award of the 2001 Nobel Prize in Physics to Cornell, Ketterle, and Wieman for ''the achievement of Bose-Einstein condensation in dilute gases of alkali atoms, and for early fundamental studies of the properties of the condensates.'' But molecules have much more to offer than simply extending the experiments already performed with atoms to more complex species.