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Title: Dissipationless Hall current in dense quark matter in a magnetic field

Abstract

Here, we show the realization of axion electrodynamics within the Dual Chiral Density Wave phase of dense quark matter in the presence of a magnetic field. This system exhibits an anomalous dissipationless Hall current perpendicular to the magnetic field and an anomalous electric charge density. This connection to topological insulators and 3D optical lattices, as well as possible implications for heavy-ion collisions and neutron stars are outlined.

Authors:
 [1];  [1]
  1. City Univ. (CUNY), Staten Island, NY (United States). Dept. of Eng. Sci. and Physics
Publication Date:
Research Org.:
City Univ. (CUNY), Staten Island, NY (United States); Univ. of Texas, El Paso, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC); USDOE Office of Nuclear Energy (NE)
OSTI Identifier:
1405534
Alternate Identifier(s):
OSTI ID: 1374587
Grant/Contract Number:
SC0002179
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 769; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Chiral symmetry; Axion QED; Quark-hole pairing; Cold-dense QCD; Magnetic DCDW

Citation Formats

Ferrer, Efrain J., and de la Incera, V. Dissipationless Hall current in dense quark matter in a magnetic field. United States: N. p., 2017. Web. doi:10.1016/j.physletb.2017.02.066.
Ferrer, Efrain J., & de la Incera, V. Dissipationless Hall current in dense quark matter in a magnetic field. United States. doi:10.1016/j.physletb.2017.02.066.
Ferrer, Efrain J., and de la Incera, V. Wed . "Dissipationless Hall current in dense quark matter in a magnetic field". United States. doi:10.1016/j.physletb.2017.02.066.
@article{osti_1405534,
title = {Dissipationless Hall current in dense quark matter in a magnetic field},
author = {Ferrer, Efrain J. and de la Incera, V.},
abstractNote = {Here, we show the realization of axion electrodynamics within the Dual Chiral Density Wave phase of dense quark matter in the presence of a magnetic field. This system exhibits an anomalous dissipationless Hall current perpendicular to the magnetic field and an anomalous electric charge density. This connection to topological insulators and 3D optical lattices, as well as possible implications for heavy-ion collisions and neutron stars are outlined.},
doi = {10.1016/j.physletb.2017.02.066},
journal = {Physics Letters. Section B},
number = C,
volume = 769,
place = {United States},
year = {Wed Mar 29 00:00:00 EDT 2017},
month = {Wed Mar 29 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2017.02.066

Citation Metrics:
Cited by: 1work
Citation information provided by
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  • Here, we show the realization of axion electrodynamics within the Dual Chiral Density Wave phase of dense quark matter in the presence of a magnetic field. This system exhibits an anomalous dissipationless Hall current perpendicular to the magnetic field and an anomalous electric charge density. This connection to topological insulators and 3D optical lattices, as well as possible implications for heavy-ion collisions and neutron stars are outlined.
  • We have recently shown that dense quark matter possesses a color ferromagnetic phase in which a stable color-magnetic field arises spontaneously. This ferromagnetic state has been known to be Savvidy vacuum in the vacuum sector. Although the Savvidy vacuum is unstable, the state is stabilized in the quark matter. The stabilization is achieved by the formation of quantum Hall states of gluons, that is, by the condensation of the gluon's color charges transmitted from the quark matter. The phase is realized between the hadronic phase and the color superconducting phase. After a review of quantum Hall states of electrons inmore » semiconductors, we discuss the properties of quantum Hall states of gluons in quark matter in detail. Especially, we evaluate the energy of the states as a function of the coupling constant. We also analyze solutions of vortex excitations in the states and evaluate their energies. We find that the states become unstable as the gauge coupling constant becomes large, or the chemical potential of the quarks becomes small, as expected. On the other hand, with the increase of the chemical potential, the color superconducting state arises instead of the ferromagnetic state. We show the region of the chemical potential of the quarks in which the color ferromagnetic phase is realized. We also show that the quark matter produced by heavy ion collisions generates observable strong magnetic field {approx}10{sup 14} G when it is in the ferromagnetic phase.« less
  • In this paper I discuss the magnetic phases of the three-flavor color superconductor. These phases can take place at different field strengths in a highly dense quark system. Given that the best natural candidates for the realization of color superconductivity are the extremely dense cores of neutron stars, which typically have very large magnetic fields, the magnetic phases here discussed could have implications for the physics of these compact objects.
  • We study a neutron star with a quark matter core under extremely strong magnetic fields. We investigate the possibility of an Urca process as a mechanism for the cooling of such a star. We found that apart from very particular cases, the Urca process cannot occur. We also study the stability of zero sound modes under the same conditions. We derive limits for the coupling constant of an effective theory, in order the zero sound to be undamped. We show that zero sound modes can help kinematically to facilitate a cooling process. Our conclusions hold for unpaired quark matter andmore » not superconducting.« less
  • We calculate the dimensionless Fermi liquid parameters (FLPs), F{sub 0,1}{sup sym} and F{sub 0,1}{sup asym}, for spin asymmetric dense quark matter. In general, the FLPs are infrared divergent due to the exchange of massless gluons. To remove such divergences, the hard density loop (HDL) corrected gluon propagator is used. The FLPs so determined are then invoked to calculate magnetic properties such as magnetization <M> and magnetic susceptibility chi{sub M} of spin polarized quark matter. Finally, we investigate the possibility of magnetic instability by studying the density dependence of <M> and chi{sub M}.