Anatomy of the chiral vortical effect

Abramchuk, R. A.; Khaidukov, Z. V.; Zubkov, M. A.

doi:10.1103/physrevd.98.076013

Cited by 26 publications

(19 citation statements)

References 96 publications

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“…Twisting spawns the skew-symmetric part of the metric tensor, which yields the Chiral Torsional Effect [14][15][16][17][18][19]. A rotation spawns an effective uniform (near the rotation axis) magnetic field, which yields the Chiral Vortical Effect [11][12][13].…”

Section: Jhep07(2021)183mentioning

confidence: 99%

Chiral separation effect for spin 3/2 fermions

Khaidukov

Abramchuk

2021

J. High Energ. Phys.

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Chiral Separation Effect (CSE) for systems that feature spin 3/2 fermions was considered. For the self-consistent Adler’s model with relativistic massless Rarita-Schwinger fermions (RSA model), we found that the CSE conductivity is five times larger than for massless Dirac fermions. For a model of four-fold band crossing in Rarita-Schwinger-Weyl semimetals, in which massless fermions with quasispin 3/2 exist, we calculated that the CSE conductivity is four times larger than for Weyl fermions. We show that CSE conductivity for any multi-degenerate Fermi point in topological semimetals is proportional to its Chern number and is topologically protected. Along the calculations, we proved an index theorem that relates Chern number of a Fermi-point and spectral asymmetry of the corresponding Landau band structure. The assumption that CSE for any system of chiral fermions is dictated by the corresponding Chern number is found to be correct for RSA model (and for the Dirac fermions).

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Section: Jhep07(2021)183mentioning

confidence: 99%

Chiral separation effect for spin 3/2 fermions

Khaidukov

Abramchuk

2021

J. High Energ. Phys.

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“…Moreover, our analysis can be easily applied to the study of the chiral magnetic effect (CME) [1][2][3][4] and the chiral vortical effect (CVE) [72][73][74][75][76][77][78][79] with the Kondo effect. The CME describes the vector current induced by a magnetic field in chirality imbalanced matter [1][2][3][4], whereas the CVE describes the vector or axial current induced by a magnetic field with rotation in ordinary and/or chirality-imbalanced matter [72][73][74][75][76][77][78][79], respectively. Without the Kondo effect, while the CSE and CVE were found to be affected by a quark mass [8,40,[80][81][82] or quantum corrections [40], the CME may be protected by the axial anomaly.…”

Section: Discussionmentioning

confidence: 99%

Chiral separation effect catalyzed by heavy impurities

Suenaga,

Araki,

Suzuki

et al. 2020

Preprint

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We investigate the influence of Kondo effect, namely, the nonperturbative effect induced by heavy impurities, on the chiral separation effect (CSE) in quark matter. We employ a simple effective model incorporating the Kondo condensate made of a light quark and a heavy quark, and compute the response function of axial current to the magnetic field in static limit and dynamical limit. As a result, we find that the Kondo effect catalyzes the CSE in both the limits, and particularly the CSE in dynamical limit can be enhanced by a factor of approximately three. Our findings clearly show that the presence of heavy impurities in quark matter can play an important role in the transport phenomena of light quarks induced by a magnetic field.

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“…The CSE formula takes a simple form only in the massless limit, and in fact, our Eqs. (30) and 31 In the same way as the CME derivation, with incremented n, the energy dispersion relations for ð↑; ↓Þ become degenerated at finite μ, and only the current contributions from the LLLs survive. From almost the same procedure as Eq.…”

Section: Contrast To the Chiral Separation Effectmentioning

confidence: 95%

“…Let us turn to other intriguing phenomena in a chiral medium similar to the CME, namely, the chiral separation effect (CSE) [21][22][23] and the chiral vortical effect (CVE) [24][25][26][27][28][29][30]. In later discussions, we will shed light on the CSE and the CVE as well as the CME using the mode decomposed wave functions.…”

Section: Introductionmentioning

confidence: 99%

Mode decomposed chiral magnetic effect and rotating fermions

2020

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We present a novel perspective to characterize the chiral magnetic and related effects in terms of angular decomposed modes. We find that the vector current and the chirality density are connected through a surprisingly simple relation for all the modes and any mass, which defines the mode decomposed chiral magnetic effect in such a way free from the chiral chemical potential. The mode decomposed formulation is useful also to investigate properties of rotating fermions. For demonstration, we give an intuitive account for a nonzero density emerging from a combination of rotation and magnetic field as well as an approach to the chiral vortical effect at finite density.

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Anatomy of the chiral vortical effect

Cited by 26 publications

References 96 publications

Chiral separation effect for spin 3/2 fermions

Chiral separation effect for spin 3/2 fermions

Chiral separation effect catalyzed by heavy impurities

Mode decomposed chiral magnetic effect and rotating fermions

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