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By using Wilsonian Renormalization Group (RG) methods we rigorously establish the existence of a Weyl semimetallic phase in an interacting three dimensional fermionic lattice system, by showing that the zero temperature Schwinger functions…

Mathematical Physics · Physics 2015-03-10 Vieri Mastropietro

The behavior of three-dimensional (3D) semimetals under strong magnetic fields is a topic of recurring interest in condensed matter physics. Recently, the advent of Weyl and Dirac semimetals has brought about an interesting platform for…

Strongly Correlated Electrons · Physics 2022-05-11 Sarbajaya Kundu , Claude Bourbonnais , Ion Garate

Weyl semimetals are a newly discovered class of materials that host relativistic massless Weyl fermions as their low-energy bulk excitations. Among this new class of materials, there exist two general types of semimetals that are of…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Moon Jip Park , Bora Basa , Matthew J. Gilbert

In disordered Weyl semimetals, mechanisms of topological origin lead to novel mechanisms of transport, which manifest themselves in unconventional types of electromagnetic response. Prominent examples of transport phenomena particular to…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Alexander Altland , Dmitry Bagrets

The quasiparticle spectra of interacting Weyl and nodal-line semimetals on a cubic lattice are studied using the cluster perturbation theory. By tracking the spectral functions under interaction, we find that the Weyl points will move to…

Strongly Correlated Electrons · Physics 2019-03-19 Jing Kang , Jianfei Zou , Kai Li , Shun-Li Yu , Lu-Bing Shao

Three dimensional Dirac semimetals are stable against weak potential disorder, but not against strong disorder. In the language of renormalization group, such stability stems from the irrelevance of weak disorder in the vicinity of the…

Disordered Systems and Neural Networks · Physics 2015-01-08 Bitan Roy , S. Das Sarma

Employing a renormalization group analysis that allows for an unbiased treatment of competing physical ingredients, we systematically trace how the interplay between Cooper pairing and disorder scatterings governs the emergence or…

Superconductivity · Physics 2026-02-27 Hua Zang , Jing Wang

Coulomb interactions famously drive three dimensional quadratic band crossing semimetals into a non-Fermi liquid phase of matter. In a previous work, Phys. Rev. B 95, 205106 (2017), the effect of disorder on this non-Fermi liquid phase was…

Strongly Correlated Electrons · Physics 2022-01-04 Ipsita Mandal , Rahul M. Nandkishore

Disorder effects are especially pronounced around nodal points in linearly dispersing bandstructures as present in graphene or Weyl semimetals. Despite the enormous experimental and numerical progress, even a simple quantity like the…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Björn Sbierski , Kevin A. Madsen , Piet W. Brouwer , Christoph Karrasch

We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. We show that even though disorder is perturbatively irrelevant at 3D Dirac points, nonperturbative effects from rare regions give rise to a nonzero…

Strongly Correlated Electrons · Physics 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

A clean noninteracting parabolic semimetal is characterized by quadratic band touching between the conduction and the valence bands at isolated diabolic points in the Brillouin zone and describes a fermionic quantum critical system with…

Strongly Correlated Electrons · Physics 2014-10-01 Hsin-Hua Lai , Bitan Roy , Pallab Goswami

We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the…

Strongly Correlated Electrons · Physics 2025-03-18 Arianna Poli , Niklas Wagner , Max Fischer , Alessandro Toschi , Giorgio Sangiovanni , Sergio Ciuchi

We investigate a three-dimensional (3D) topological phase resembling a Weyl semimetal, modulated by a periodic potential and engineered through Floquet dynamics. This system is constructed by stacking two-dimensional Chern insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Fang Qin , Rui Chen

Shortly after the discovery of Weyl semimetals properties related to the topology of their bulk band structure have been observed, e.g. signatures of the chiral anomaly and Fermi arc surface states. These essentially single particle…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Maximilian Trescher , Emil J. Bergholtz , Masafumi Udagawa , Johannes Knolle

Heavy fermion semimetals represent a promising setting to explore topological metals driven by strong correlations. In this paper, we i) summarize the theoretical results in a Weyl-Kondo semimetal phase for a strongly correlated model with…

Strongly Correlated Electrons · Physics 2020-04-22 Sarah E. Grefe , Hsin-Hua Lai , Silke Paschen , Qimiao Si

Finding fingerprints of disordered Weyl semimetals (WSMs) is an unsolved task. Here we report such findings in the level statistics and the fractal nature of electron wavefunction around Weyl nodes of disordered WSMs. The nearest-neighbor…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 C. Wang , Peng Yan , X. R. Wang

We study the interplay between fermion-fermion interactions and disorder scatterings beneath the superconducting dome of noncentrosymmetric nodal-line superconductors. With the application of renormalization group, several interesting…

Superconductivity · Physics 2023-08-09 Wen-Hao Bian , Xiao-Zhuo Chu , Jing Wang

Negative magnetoresistance is one of the manifestations of the chiral anomaly in Weyl semimetals. The magneto-optical conductivity also shows transitions between Landau levels that are not spaced as in an ordinary electron gas. How are such…

Strongly Correlated Electrons · Physics 2020-08-05 S. Acheche , R. Nourafkan , J. Padayasi , N. Martin , A. -M. S. Tremblay

Weyl nodal loop semimetals are gapless topological phases that, unlike their insulator counterparts, may be unstable to small perturbations that respect their topology-protecting symmetries. Here, we analyze a clean system perturbed by…

Disordered Systems and Neural Networks · Physics 2025-02-07 João S. Silva , Miguel Gonçalves , Eduardo V. Castro , Pedro Ribeiro , Miguel A. N. Araújo

For several decades, it was widely believed that a non-interacting disordered electronic system could only undergo an Anderson metal-insulator transition due to Anderson localization. However, numerous recent theoretical works have…