skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations

Abstract

Here, we present a first-principles study of anomaly induced transport phenomena by performing real-time lattice simulations with dynamical fermions coupled simultaneously to non-Abelian S U ( N c ) and Abelian U ( 1 ) gauge fields. By investigating the behavior of vector and axial currents during a sphaleron transition in the presence of an external magnetic field, we demonstrate how the interplay of the chiral magnetic and chiral separation effect leads to the formation of a propagating wave. Furthermore, we analyze the dependence of the magnitude of the induced vector current and the propagation of the wave on the amount of explicit chiral symmetry breaking due to finite quark masses.

Authors:
 [1];  [2];  [2]
  1. Univ. of Heidelberg (Germany). Inst. for Theoretical Physics
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept.
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Under Secretary for Science (S-4)
OSTI Identifier:
1349564
Report Number(s):
BNL-113679-2017-JA
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: KB0301020; KB0301020; TRN: US1701594
Grant/Contract Number:
SC00112704; SC0012704; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 14; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Chiral; Lattice simulations

Citation Formats

Müller, Niklas, Schlichting, Sören, and Sharma, Sayantan. Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.117.142301.
Müller, Niklas, Schlichting, Sören, & Sharma, Sayantan. Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations. United States. doi:10.1103/PhysRevLett.117.142301.
Müller, Niklas, Schlichting, Sören, and Sharma, Sayantan. 2016. "Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations". United States. doi:10.1103/PhysRevLett.117.142301. https://www.osti.gov/servlets/purl/1349564.
@article{osti_1349564,
title = {Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations},
author = {Müller, Niklas and Schlichting, Sören and Sharma, Sayantan},
abstractNote = {Here, we present a first-principles study of anomaly induced transport phenomena by performing real-time lattice simulations with dynamical fermions coupled simultaneously to non-Abelian S U ( N c ) and Abelian U ( 1 ) gauge fields. By investigating the behavior of vector and axial currents during a sphaleron transition in the presence of an external magnetic field, we demonstrate how the interplay of the chiral magnetic and chiral separation effect leads to the formation of a propagating wave. Furthermore, we analyze the dependence of the magnitude of the induced vector current and the propagation of the wave on the amount of explicit chiral symmetry breaking due to finite quark masses.},
doi = {10.1103/PhysRevLett.117.142301},
journal = {Physical Review Letters},
number = 14,
volume = 117,
place = {United States},
year = 2016,
month = 9
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

Save / Share:
  • The recent prediction, and subsequent discovery, of the quantum anomalous Hall (QAH) effect in thin films of the three-dimensional ferromagnetic topological insulator (MTI) (Crmore » $$_y$$Bi$$_x$$Sb$$_{1-x-y}$$)$$_2$$Te$$_3$$ has opened new possibilities for chiral-edge-state-based devices in zero external magnetic field. Like the $$\nu=1$$ quantum Hall system, the QAH system is predicted to have a single chiral edge mode circulating along the boundary of the film. Backscattering of the chiral edge mode should be suppressed, as recently verified by the observation of well-quantized Hall resistivities $$\rho_{yx} = \pm h/e^2$$, along with longitudinal resistivities as low as a few ohms. Dissipationless 1D conduction is also expected along magnetic domain walls. Here, we intentionally create a magnetic domain wall in a MTI and study electrical transport along the domain wall. We present the first observation of chiral transport along domain walls, in agreement with theoretical predictions. We present further evidence that two modes equilibrate and co-propagate along the length of the domain wall.« less
  • In quantum chromodynamics, a gauge field configuration with nonzero topological charge generates a difference between the number of left- and right-handed quarks. When a (electromagnetic) magnetic field is added to this configuration, an electromagnetic current is induced along the magnetic field; this is called the chiral magnetic effect. We compute this current in the presence of a color-flux tube possessing topological charge, with a magnetic field applied perpendicular to it. We argue that this situation is realized at the early stage of relativistic heavy-ion collisions.
  • Using a 1D particle-in-cell simulation with perpendicular electric, E{sub 0}, and magnetic, B{sub 0}, fields, and modelling the azimuthal direction (i.e., the E{sub 0} × B{sub 0} direction), we study the cross-field electron transport in Hall effect thrusters (HETs). For low plasma densities, the electron transport is found to be well described by classical electron-neutral collision theory, but at sufficiently high densities (representative of typical HETs), a strong instability is observed to significantly enhance the electron mobility, even in the absence of electron-neutral collisions. This instability is associated with correlated high-frequency (of the order of MHz) and short-wavelength (of the order ofmore » mm) fluctuations in both the electric field and the plasma density, which are shown to be the cause of the anomalous transport. Saturation of the instability is observed to occur due to a combination of ion-wave trapping in the E{sub 0} × B{sub 0} direction, and convection in the E{sub 0} direction.« less