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The intersections of topology, geometry and strong correlations offer many opportunities for exotic quantum phases to emerge in condensed matter systems. Weyl fermions, in particular, provide an ideal platform for exploring the dynamical…

In this paper, we introduce and motivate the studies of Quantum Weyl Gravity (also known as Conformal Gravity). We discuss some appealing features of this theory both on classical and quantum level. The construction of the quantum theory is…

High Energy Physics - Theory · Physics 2021-07-16 Lesław Rachwał , Stefano Giaccari

Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yinong Zhou , Kyung-Hwan Jin , Huaqing Huang , Zhengfei Wang , Feng Liu

We introduce a new theoretical framework based on Feynman diagrams to compute phase shifts in matter wave interferometry. The method allows for analytic computation of higher order quantum corrections, beyond the traditional semi-classical…

Atomic Physics · Physics 2026-05-14 Jonah Glick , Tim Kovachy

Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Jiong-Hao Wang , Yong Xu

We study the electromagnetic properties of Weyl semimetals with strong interactions. Focusing on a single Weyl cone in the band structure, we induce strong interactions by coupling the Weyl fermion with a tunable coupling constant $g_f$ to…

High Energy Physics - Theory · Physics 2016-05-11 V. P. J. Jacobs , Panagiotis Betzios , Umut Gursoy , H. T. C. Stoof

The Weyl semimetal surface is modeled by applying the Bogolyubov boundary conditions, in which the quasiparticles have an infinite Dirac mass outside the semimetal. For a Weyl semimetal shaped as a slab of finite thickness, we derive an…

Strongly Correlated Electrons · Physics 2014-09-19 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We present a new formalism to solve the kinematical constraints due to Weyl invariance for CFTs in curved backgrounds and/or non-trivial states, and we apply it to thermal CFTs and to CFTs on squashed spheres. The ambient space formalism is…

High Energy Physics - Theory · Physics 2024-05-28 Enrico Parisini , Kostas Skenderis , Benjamin Withers

We investigate the effect of long-range Coulomb interaction on the quasiparticle properties and the dielectric function of clean three-dimensional Weyl semimetals at zero temperature using a functional renormalization group (FRG) approach.…

Strongly Correlated Electrons · Physics 2018-03-15 Anand Sharma , Arthur Scammell , Jan Krieg , Peter Kopietz

We present a systematic derivation of the wave kinetic equation describing the dynamics of a statistically inhomogeneous incoherent wave field in a medium with a weak quadratic nonlinearity. The medium can be nonstationary and…

Optics · Physics 2018-03-30 D. E. Ruiz , M. E. Glinsky , I. Y. Dodin

Matter-wave interferometry with nanoparticles will enable the development of quantum sensors capable of probing ultraweak fields with unprecedented applications for fundamental physics. The high sensitivity of such devices however makes…

Quantum Physics · Physics 2024-03-26 Paolo Fragolino , Martine Schut , Marko Toroš , Sougato Bose , Anupam Mazumdar

Virtual massless particles in quantum loops lead to nonlocal effects which can have interesting consequences, for example, for primordial magnetogenesis in cosmology or for computing finite $N$ corrections in holography. We describe how the…

High Energy Physics - Theory · Physics 2018-07-04 Teresa Bautista , André Benevides , Atish Dabholkar

One of the important goals of present research is to control and manipulate coherence in a broad variety of systems, such as semiconductor spintronics, biological photosynthetic systems, superconducting qubits and complex atomic networks.…

In this paper, we give a new approach for the study of Weyl-type theorems. Precisely we introduce the concepts of spectral valued and spectral partitioning functions. Using two natural order relations on the set of spectral valued…

Spectral Theory · Mathematics 2013-04-12 Mohammed Berkani

Recently, intense efforts have been devoted to realizing classical analogues of various topological phases of matter. In this Letter, we explore the intriguing Weyl physics by a simple one-dimensional sonic crystal, in which two extra…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xiying Fan , Chunyin Qiu , Yuanyuan Shen , Hailong He , Meng Xiao , Manzhu Ke , Zhengyou Liu

Matter wave interferometry is becoming an increasingly important technique in quantum metrology. However, unlike its photonic counterpart, this technique relies on the interference of particles possessing a non-zero rest mass and an…

The inner structure of the {\gamma}{\epsilon}-formalisms of Infeld and van der Waerden admits the occurrence of spin-tensor electromagnetic fields which bear invariance under the action of the generalized Weyl gauge group. A concise…

Mathematical Physics · Physics 2012-01-27 J. G. Cardoso

Gamow's approach to exponential decay of meta-stable particles via complex 'eigenvalues' (resonances) of a Hamiltonian is scrutinized. We explain the sense in which the non-square-integrable 'eigenfunctions' that belong to these resonances…

Mathematical Physics · Physics 2009-09-18 Robert Grummt

In the recent years, mater-wave interferometry has attracted growing attention due to its unique suitability for high-precision measurements and study of fundamental aspects of quantum theory. Diffraction and interference of matter waves…

Quantum Physics · Physics 2013-05-30 Arseni Goussev

In this work, we describe the phenomenon of Weyl-point teleportation. Weyl points usually move continuously in the configuration parameter space of a quantum system when the control parameters are varied continuously. However, there are…

Mesoscale and Nanoscale Physics · Physics 2022-08-08 György Frank , Dániel Varjas , Gergő Pintér , András Pályi
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