Hall effect in the presence of rotation

Zubkov, M. A.

doi:10.1209/0295-5075/121/47001

Cited by 12 publications

(12 citation statements)

References 118 publications

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“…Recently the new non -dissipative transport effects were proposed: the rotational Hall effect [43] and the scale magnetic effect [44]. In the present paper we will propose one more non -dissipative transport effect -the chiral torsional effect.…”

Section: Introductionmentioning

confidence: 95%

Chiral Torsional Effect

Khaidukov

Zubkov

2018

Jetp Lett.

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We propose the new nondissipative transport effect -the appearance of axial current of thermal quasiparticles in the presence of background gravity with torsion. For the non-interacting model of massless Dirac fermions the response of the axial current to torsion is derived. The chiral vortical effect appears to be the particular case of the chiral torsional effect. The proposed effect may be observed in the condensed matter systems with emergent relativistic invariance (Weyl/Dirac semimetals and the 3 He-A superfluid).

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Section: Introductionmentioning

confidence: 95%

Chiral Torsional Effect

Khaidukov

Zubkov

2018

Jetp Lett.

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“…At the same time the absence of the equilibrium version of the chiral magnetic effect was proved in [49]. It is expected, that both the chiral separation effect and the chiral vortical effect as well as the proposed recently rotational Hall effect [42] are expected to be observed in the heavy ion collisions [12].…”

Section: Introductionmentioning

confidence: 88%

“…Following [2] we represent the axial current of the Chiral Vortical Effect as the axial current of the Chiral Separation Effect corresponding to the magnetic field of Eq. (42). This gives for the system of the interacting massless fermions rotating with angular velocity Ω around the z axis:…”

Section: Description Of Rotation Via the Effective Gauge Fieldmentioning

confidence: 99%

Anatomy of the chiral vortical effect

2018

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We consider the system of relativistic rotating fermions in the presence of rotation. The rotation is set up as an enhancement of the angular momentum. In this approach the angular velocity for the angular momentum plays the same role as the chemical potential for density. We calculate the axial current using the direct solutions of the Dirac equation with the MIT bag boundary conditions. Next, we consider the alternative way of the rotation description, in which the local velocity of the substance multiplied by the chemical potential serves as the effective gauge field. In this approach this is possible to relate the axial current of the chiral vortical effect for the massless fermions to the topological invariant in momentum space, which is robust to the introduction of interactions. We compare the results for the axial current obtained using the two above mentioned approaches.

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“…In [48], the new non-dissipative transport effect was proposed-the rotational Hall effect (RHE). Let us suppose that the fermionic system is rotated, and the angular velocity Ω depends on the distance to the rotation axis r. The system is supposed to be in the steady state with the chemical potential µ depending on r. Interactions are neglected.…”

Section: Rotational Hall Effectmentioning

confidence: 99%

Momentum Space Topology and Non-Dissipative Currents †

2018

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Relativistic heavy ion collisions represent an arena for the probe of various anomalous transport effects. Those effects, in turn, reveal the correspondence between the solid state physics and the high energy physics, which share the common formalism of quantum field theory. It may be shown that for the wide range of field-theoretic models, the response of various nondissipative currents to the external gauge fields is determined by the momentum space topological invariants. Thus, the anomalous transport appears to be related to the investigation of momentum space topologythe approach developed earlier mainly in the condensed matter theory. Within this methodology we analyse systematically the anomalous transport phenomena, which include, in particular, the anomalous quantum Hall effect, the chiral separation effect, the chiral magnetic effect, the chiral vortical effect and the rotational Hall effect.PACS numbers: I. INTRODUCTIONIt is expected that the family of the non-dissipative transport effects [1-8] will be observed in non-central heavy ion collisions. The fireballs appearing during those collisions exist in the presence of both magnetic field and rotation [9][10][11][12]. It is worth mentioning that the same or similar effects have been considered for the Dirac and Weyl semimetals [13][14][15][16][17][18][19][20]. The mentioned family consists of the chiral separation effect (CSE) [3,21], the chiral vortical effect (CVE) [22], the anomalous quantum Hall effect (AQHE) [18,23,24], and some other similar phenomena. Besides, the Chiral Magnetic Effect (CME) has been widely discussed [25][26][27][28][29][30].The naive derivations of the above-mentioned effects using the non-regularized continuous field theory have been presented in some of the above-mentioned publications. Later, the above-mentioned naive derivations were reconsidered (see, for example, [5][6][7][8], where the corresponding problems were treated using numerical simulations within the rigorous lattice regularization). The majority of the above-mentioned non-dissipative transport effects were confirmed. However, it was shown, for example, that the equilibrium CME does not exist. The CME may, though, survive as a non-equilibrium kinetic phenomenon-see, for example, [31,32]. In the context of condensed matter theory, the absence of the equilibrium version of the CME was confirmed within the particular model of Weyl semimetal [33]. The same conclusion has also been obtained using the no-go Bloch theorem [34] (still there is no direct proof of this theorem for the general case of the quantum field theory). The other proof was given in [35,36]. It is based on the lattice version of Wigner-Weyl formalism [37][38][39][40]. This approach also allows one to derive the AQHE [35] in 3 + 1 D Weyl semimetals, and the CSE [41] in the lattice regularized quantum field theory. In addition, it allows to derive the axial current of the CVE for the massless fermions at zero temperature. This technique is reviewed below. Its key point is the intimate relation betwe...

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Hall effect in the presence of rotation

Cited by 12 publications

References 118 publications

Chiral Torsional Effect

Chiral Torsional Effect

Anatomy of the chiral vortical effect

Momentum Space Topology and Non-Dissipative Currents †

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