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The discovery of topological quantum materials represents a striking innovation in modern condensed matter physics with remarkable fundamental and technological implications. Their classification has been recently extended to topological…

The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Sharareh Sayyad

Based on the Keldysh formalism, we derive an effective Boltzmann equation for a quasi-particle associated with a particular Fermi surface in an interacting Fermi liquid. This provides a many-body derivation of Berry curvatures in electron…

Strongly Correlated Electrons · Physics 2009-11-11 Ryuichi Shindou , Leon Balents

We discuss the finite temperature extension of the anomalous Wess-Zumino -Witten lagrangian. The finite temperature S^1\times S^3 compactification makes a structure in disconnected sectors, corresponding to different baryon numbers appear…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. F. Alvarez-Estrada , A. Dobado , A. Gomez Nicola

We perform an explicit calculation of the axial current at finite rotation and temperature in curved space. We find that finite curvature and mass corrections to the chiral vortical effect satisfy a relation of the chiral gap effect, that…

High Energy Physics - Theory · Physics 2018-11-21 Antonino Flachi , Kenji Fukushima

The Berry phase is analyzed for Weyl and Dirac fermions in a phase space representation of the worldline formalism. Kinetic theories are constructed for both at a classical level. Whereas the Weyl fermion case reduces in dimension,…

High Energy Physics - Theory · Physics 2022-06-28 Patrick Copinger , Shi Pu

We study flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential, the external field conjugate to the fluid helicity. We obtain the deformation of the Euler equation by the…

High Energy Physics - Theory · Physics 2023-08-08 Alexander G. Abanov , Paul B. Wiegmann

The charge and spin patterns of a quantum dot embedded into a spin-orbit coupled quantum wire subject to a magnetic field are investigated. A Luttinger liquid theory is developed, taking into account open boundaries and finite magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 F. M. Gambetta , N. Traverso Ziani , S. Barbarino , F. Cavaliere , M. Sassetti

Due to the Weyl anomaly, an axial vector field produces novel anomalous chiral currents in spacetime with boundaries. Remarkably, the chiral current is not invariant under the gauge transformation of axial vector fields. As a result, more…

High Energy Physics - Theory · Physics 2023-01-18 Rong-Xin Miao , Yu-Qian Zeng

Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the real-space Berry curvature in the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

We consider a Weyl semimetal with two nodes and derive the scattering Hamiltonian in the presence of a boundary at $z=0$. We compute the photoemission spectrum and demonstrate the presence of the Fermi arcs which connect the two nodes. In…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 D. Schmeltzer

We investigate novel transport phenomena in a chiral fluid originated from an interplay between a vorticity and strong magnetic field, which induces a redistribution of vector charges in the system and an axial current along the magnetic…

High Energy Physics - Theory · Physics 2016-10-12 Koichi Hattori , Yi Yin

The standard model $SU(2)_L\times U(1)_Y$ gauging of the Wess-Zumino-Witten term requires a modified counterterm when background fields, needed to generate the full set of currents, are introduced. The modified counterterm plays an…

High Energy Physics - Theory · Physics 2008-11-26 Jeffrey A. Harvey , Christopher T. Hill , Richard J. Hill

Quite recently, Grabowska and Kaplan presented a 4-dimensional lattice formulation of chiral gauge theories based on the chiral overlap operator. We study this formulation from the perspective of the fermion number anomaly and possible…

High Energy Physics - Lattice · Physics 2019-12-06 Ken-ichi Okumura , Hiroshi Suzuki

A new, adiabatic phase choice is adopted for the overlap in the case of an infinite volume, noncompact abelian chiral gauge theory. This gauge choice obeys the same symmetries as the Brillouin-Wigner (BW) phase choice, and, in addition,…

High Energy Physics - Lattice · Physics 2009-10-31 Herbert Neuberger

Recent studies suggest that the nonlinear transport properties in Weyl semimetal may be a measurable consequence of its chiral anomaly. Nonlinear responses in transport are estimated to be substantial, because in real materials such as TaAs…

Mesoscale and Nanoscale Physics · Physics 2023-05-16 Min Ju Park , Suik Cheon , Hyun-Woo Lee

Weyl metal is regarded as a platform toward interacting topological states of matter, where its topological structure gives rise to anomalous transport phenomena, referred to as chiral magnetic effect and "negative" magneto-resistivity, the…

Strongly Correlated Electrons · Physics 2014-05-29 Ki-Seok Kim , Heon-Jung Kim , M. Sasaki

Weyl semimetals provide the realization of Weyl fermions in solid-state physics. Among all the physical phenomena that are enabled by Weyl semimetals, the chiral anomaly is the most unusual one. Here, we report signatures of the chiral…

We study fermion localization in gauge theory space. We consider four dimensional product gauge groups in which light chiral fermions transform under different gauge factors of the product group. This construction provides a suppression of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Witold Skiba , David Smith

An exotic anomalous plasmon mode is found in strained Weyl semimetals utilizing the topological Landau Fermi liquid and chiral kinetic theories, in which quasiparticle interactions are modeled by long-range Coulomb and residual short-range…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 Shiva Heidari , Dimitrie Culcer , Reza Asgari