Negative Temperature: Further Extensions

JETP Letters - This work is motivated by the recent paper [M. Baldovin, S. Iubini, R. Livi, and A. Vulpiani, Statistical mechanics of systems with negative temperature, arXiv:2103.12572]. The...     

Lifshitz transitions via the type-II dirac and type-II Weyl points

The type-II Weyl and type-II Dirac points emerge in semimetals and in relativistic systems. In particular, the type-II Weyl fermions may emerge behind the event horizon of black holes. The type-II Weyl and Dirac points also emerge as the intermediate states of the topological Lifshitz transitions. In one case, the type-II Weyl point connects the Fermi pockets, and the Lifshitz transition corresponds to the transfer of the Berry flux between the Fermi pockets. In the other case, the type-II Weyl point connects the outer and inner Fermi surfaces. At the Lifshitz transition, the Weyl point is released from both Fermi surfaces. They loose their Berry flux, which guarantees the global stability, and without the topological support, the inner surface disappears after shrinking to a point at the second Lifshitz transition. These examples reveal the complexity and universality of topological Lifshitz transitions, which originate from the ubiquitous interplay of a variety of topological characters of the momentum-space manifolds.     

Tetrads in Solids: from Elasticity Theory to Topological Quantum Hall Systems and Weyl Fermions

Journal of Experimental and Theoretical Physics - Theory of elasticity in topological insulators has many common features with relativistic quantum fields interacting with gravitational fields in...     

On the chiral magnetic effect in Weyl superfluid <Superscript>3</Superscript>He-A

In the theory of the chiral anomaly in relativistic quantum field theories (RQFTs), some results depend on a regularization scheme at ultraviolet. In the chiral superfluid ³He-A, which contains two Weyl points and also experiences the effects of chiral anomaly, the “trans-Planckian” physics is known and the results can be obtained without regularization. We discuss this on example of the chiral magnetic effect (CME), which has been observed in ³He-A in the 1990s [1]. There are two forms of the contribution of the CME to the Chern–Simons term in free energy, perturbative and non-perturbative. The perturbative term comes from the fermions living in the vicinity of the Weyl point, where the fermions are “relativistic” and obey the Weyl equation. The non-perturbative term originates from the deep vacuum, being determined by the separation of the two Weyl points in momentum space. Both terms are obtained using the Adler–Bell–Jackiw equation for chiral anomaly, and both agree with the results of the microscopic calculations in the “trans-Planckian” region. Existence of the two nonequivalent forms of the Chern–Simons term demonstrates that the results obtained within the RQFT depend on the specific properties of the underlying quantum vacuum and may reflect different physical phenomena in the same vacuum.     

Analysis of regioselectivity of free radical addition to olefins by the Morokuma scheme

The regioselectivity of free radical attack on olefins is considered with respect to the correspondence between energy components in the Morokuma scheme and their analogs in the orbital scheme (FMO approximation) in terms of ambivalence of radicals and the effectiveness of reactant deformation, with the purpose of fitting a CT model.Institute of Organic Chemistry, Academy of Sciences of the Ukrainian SSR Kiev. Translated from Teoreticheskaya i Éxperimental Khimiya, Vol. 27, No. 4, pp. 474–478, July–August, 1991. Original article submitted March 14, 1991.     

Nucleation of vortices in superfluid<Superscript>3</Superscript>He-B

In a smooth-walled rotating container vortices nucleate spontaneously in³He-B at a critical velocityv _c (T, P) which is related to the bulk superflow instability velocityv _cb (T, P). This process takes place at the wall of the container. Vortices are also observed to nucleate at lower velocities in the bulk liquid in ionizing radiation. For this thermal neutrons are most practical since for them the absorption cross section is large in³He. An absorption event creates local overheating, a hot bubble in the cold superflow. An increasing number of vortex rings is observed to emerge from the bubble as a function of the superflow velocity.