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Using lattice QCD we study the spectrum of low-lying fermion eigenmodes. According to the Banks-Casher relation, accumulation of the low-mode is responsible for the spontaneous breaking of chiral symmetry in the QCD vacuum. On the lattice…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shoji Hashimoto

Graphene is famous for being a host of 2D Dirac fermions. However, spin-orbit coupling introduces a small gap, so that graphene is formally a quantum spin hall insulator. Here we present symmetry-protected 2D Dirac semimetals, which feature…

Materials Science · Physics 2015-09-23 Steve M. Young , Charles L. Kane

Chirality is an important concept that describes the asymmetry property of a system, which usually emerges spontaneously due to mirror symmetry breaking. Such spontaneous chirality manifests predominantly as parity breaking in modern…

Dirac-like cones, featuring conical linear dispersions intersecting with flat bands, typically arise from accidental degeneracy of multiple modes that requires precise tuning of material and structural parameters, inherently limiting their…

Optics · Physics 2025-07-15 Muxuan Yang , Dongyang Yan , Lei Gao , Wei Liu , Yun Lai , Yadong Xu , Zhi Hong Hang , Jie Luo

We calculate the electron self-energy in a magnetized QED plasma to the leading perturbative order in the coupling constant and to the linear order in an external magnetic field. We find that the chiral asymmetry of the normal ground state…

High Energy Physics - Phenomenology · Physics 2013-07-31 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , Xinyang Wang

An increasing number of model results suggests that chiral symmetry is broken inhomogeneously in a certain window at intermediate densities in the QCD phase diagram. This could have significant effects on the properties of compact stars,…

Nuclear Theory · Physics 2016-05-02 Michael Buballa , Stefano Carignano

Kagome-lattice crystal is crucial in quantum materials research, exhibiting unique transport properties due to its rich band structure and the presence of nodal lines and rings. Here, we investigate the electronic transport properties and…

In this article we study spontaneous chiral symmetry breaking for quark matter in the background of static and homogeneous parallel electric field $\bm E$ and magnetic field $\bm B$. We use a Nambu-Jona-Lasinio model with a local kernel…

High Energy Physics - Phenomenology · Physics 2016-05-25 M. Ruggieri , G. X. Peng

It is shown that the chiral symmetry is spontaneously broken by a constant magnetic field in QED. The dynamical mass of fermions (energy gap in the fermion spectrum) is $m_{dyn}\simeq C\sqrt{eB}\exp\left[-\left(\pi/\alpha\right)…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

Interplay of Fermi surface topology and electron correlation is the quintessential ingredient underlying spontaneous symmetry breaking in itinerant electronic systems. In one-dimensional (1D) systems at half-filling, the inherent Fermi…

Strongly Correlated Electrons · Physics 2019-05-07 Jin-Hong Park , Seung Hun Lee , Choong H. Kim , Hosub Jin , Bohm-Jung Yang

We show that in supersymmetric pure Yang Mills theories with arbitrary simple gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by the associated gaugino and gauge boson condensates implies the spontaneous…

High Energy Physics - Theory · Physics 2009-10-30 M. Leibundgut , P. Minkowski

Interaction driven symmetry breaking in a metallic (doped) Dirac system can manifest in the spontaneous gap generation at the nodal point buried below the Fermi level. Across this transition linear conductivity remains finite making its…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 Habib Rostami , Vladimir Juričić

It has been conjectured that spontaneous chiral symmetry breaking in strongly coupled vectorlike gauge theories falls into only three different classes, depending on the gauge group and the representations carried by the fermions. We test…

High Energy Physics - Lattice · Physics 2009-11-07 P. H. Damgaard , U. M. Heller , R. Niclasen , B. Svetitsky

Novel states of matter arise in quantum materials due to strong interactions among electrons. A nematic phase breaks the point group symmetry of the crystal lattice and is known to emerge in correlated materials. Here we report the…

The linear band crossings of 3D Dirac and Weyl semimetals are characterized by a charge chirality, the parallel or anti-parallel locking of electron spin to its momentum. Such materials are believed to exhibit a ${\bf E} \cdot {\bf B}$…

Materials Science · Physics 2021-06-01 Bing Cheng , Timo Schumann , Susanne Stemmer , N. P. Armitage

Kagome metals have developed into a vibrant playground for materials physics, where geometric frustration, electronic correlations and band topology come together to create a variety of exotic phenomena. Recently synthesized CsCr$_3$Sb$_5$…

Strongly Correlated Electrons · Physics 2025-10-08 Siyu Cheng , Keyu Zeng , Yi Liu , Christopher Candelora , Ziqiang Wang , Guang-Han Cao , Ilija Zeljkovic

Chiral symmetry in massless QCD is believed to be broken spontaneously. We discuss a possibility that the chiral symmetry is explicitly broken by QCD monopoles which appear only in strong coupled QCD. Namely, the monopole quark interaction…

High Energy Physics - Phenomenology · Physics 2019-09-02 Aiichi Iwazaki

Chiral symmetry, fundamental in the physics of graphene, guarantees the existence of topologically stable doubled Dirac cones and anomalous behaviors of the zero-energy Landau level in magnetic fields. The crucial role is inherited in the…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Y. Hatsugai , T. Morimoto , T. Kawarabayashi , Y. Hamamoto , H. Aoki

Dynamical properties of gauge theories with light flavor quarks are studied in a dual supergravity by adding a D7-brane probe into the AdS background deformed by the dilaton. By estimating the vev of flavor quark-bilinear in both the…

High Energy Physics - Theory · Physics 2009-11-10 Kazuo Ghoroku , Masanobu Yahiro

The Banks--Casher relation links the spontaneous breaking of chiral symmetry in QCD to the presence of a non-zero density of quark modes at the low end of the spectrum of the Dirac operator. Spectral observables like the number of modes in…

High Energy Physics - Lattice · Physics 2009-03-31 Leonardo Giusti , Martin Lüscher