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Title: Measuring the Second Chern Number from Nonadiabatic Effects

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
AFOSR FA9550-13-1-0039; DEAC02-05CH11231
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 1; Related Information: CHORUS Timestamp: 2016-12-23 16:34:07; Journal ID: ISSN 0031-9007
American Physical Society
Country of Publication:
United States

Citation Formats

Kolodrubetz, Michael. Measuring the Second Chern Number from Nonadiabatic Effects. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.117.015301.
Kolodrubetz, Michael. Measuring the Second Chern Number from Nonadiabatic Effects. United States. doi:10.1103/PhysRevLett.117.015301.
Kolodrubetz, Michael. Thu . "Measuring the Second Chern Number from Nonadiabatic Effects". United States. doi:10.1103/PhysRevLett.117.015301.
title = {Measuring the Second Chern Number from Nonadiabatic Effects},
author = {Kolodrubetz, Michael},
abstractNote = {},
doi = {10.1103/PhysRevLett.117.015301},
journal = {Physical Review Letters},
number = 1,
volume = 117,
place = {United States},
year = {Thu Jun 30 00:00:00 EDT 2016},
month = {Thu Jun 30 00:00:00 EDT 2016}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevLett.117.015301

Citation Metrics:
Cited by: 5works
Citation information provided by
Web of Science

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  • The second order transition potential introduced in a previous paper (Csanak, Taylor & Tripathy, J. Phys. B. Atom. Molec. Phys.; 6: 2040-54 (1973)) is generalized and analyzed from the energy-dependency point of view. The adiabatic limit and the first nonadiabatic correction is given. The same potential is analyzed also in terms of multipole moments, and it is shown how wave function methods can be used to calculate it. In the adiabatic, dipole limit the long-range part of the transition polarization potential agrees with the one used in the polarized Born approxirnation (Truhlar Thesis (1970)), Rice et al. (Phys. Rev.; A5:more » 762-52 (1972)). The same limit gives a generalization of Temkin's (Phys. Rev.; 107: 1004-12 (1957)) polarized orbital method for inelastic scattering. (auth)« less
  • It is shown under very general assumptions that at small momentum transfers (, where R is the deuteron radius) considerable cancellation takes place between the following nonadiabatic effects: 1) effects associated with the motion of the nucleons (recoil in the elementary scattering events) cancel against the contribution from processes in which the incident particle is successively scattered from different nucleons, which are rescattered from one another in the meantime; and 2) effects due to the change in amplitude for the elementary event on moving off the energy shell cancel against the contribution from processes in which the incident particlemore » is successively scattered by a single nucleon, which interacts with the other deuteron nucleon in the meantime. This situation obtains both at high energies, and at medium and low energies, and helps to explain the success and wide range of applicability of the widely used theories of multiple scattering based on the idea of fixed (rigidly connected) nucleons. Such cancellation also shows how dangerous it can be to attempt ''to improve partially'' simple theories.« less
  • We study the Chern-Simons number diffusion rate in the (1+1)-dimensional lattice Abelian Higgs model at temperatures much higher than, as well as comparable to, the sphaleron energy. It is found that in the high-temperature limit the rate is likely to grow as a power of 2/3 of the temperature. In the intermediate-temperature regime, our numerical simulations show that the very weak temperature dependence of the rate, found in previous work, persists at smaller lattice spacings. We discuss possibilities of relating the observed behavior of the rate to static finite-temperature properties of the model.
  • In this paper, the authors discuss Ward identities in five-dimensional Abelian Chern-Simons theory. Using the Ward identities the authors calculate correlation functions of some field variables which are invariant under diffeomorphisms and gauge transformations. The authors show that the correlation functions are expressed by the linking number.
  • We develop a topological method of measuring Chern-Simons number change in the real time evolution of classical lattice SU(2) and SU(2) Higgs theory. We find that the Chern-Simons number diffusion rate per physical four-volume is very heavily suppressed in the broken phase, and that it decreases with lattice spacing in pure Yang-Mills theory, although not as quickly as predicted by Arnold, Son, and Yaffe. {copyright} {ital 1997} {ital The American Physical Society}