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We explore the critical properties of a topological transition in a two-dimensional, amorphous lattice with randomly distributed points. The model intrinsically breaks the time-reversal symmetry without an external magnetic field, akin to a…

Mesoscale and Nanoscale Physics · Physics 2025-10-24 Soumya Bera , Johannes Dieplinger , Naba P Nayak

Quark interaction with topologically non-trivial gluonic fields, instantons and sphalerons, violates \P and \CP symmetry. In the strong magnetic field of a non-central nuclear collision such interactions lead to the charge separation along…

Nuclear Experiment · Physics 2014-11-20 Sergei A. Voloshin

The quantum Hall effect arises from the interplay between localized and extended states that form when electrons, confined to two dimensions, are subject to a perpendicular magnetic field. The effect involves exact quantization of all the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Ilani , J. Martin , E. Teitelbaum , J. H. Smet , D. Mahalu , V. Umansky , A. Yacoby

The scaling theory of the transitions between plateaus of the Hall conductivity in the integer Quantum Hall effect is reviewed. In the model of two-dimensional noninteracting electrons in strong magnetic fields the transitions are…

Condensed Matter · Physics 2016-08-31 Bodo Huckestein

We present the ingredients necessary for the determination of physical K->pi pi decay amplitudes for Delta I=3/2 transitions, from lattice simulations at unphysical kinematics and the use of chiral perturbation theory at next-to-leading…

High Energy Physics - Lattice · Physics 2008-11-26 C. -J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro

We use recently derived Ward identities and lattice data for the light- and strange-quark condensates to reconstruct the scalar and pseudoscalar susceptibilities ($\chi_S^\kappa$, $\chi_P^K$) in the isospin 1/2 channel. We show that…

High Energy Physics - Phenomenology · Physics 2021-10-11 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Andrea Vioque-Rodríguez , David Álvarez-Herrero

We theoretically investigate the scaling behavior of the localization length for $s$-polarized electromagnetic waves incident at a critical angle on stratified random media with short-range correlated disorder. By employing the invariant…

Optics · Physics 2024-06-18 Seulong Kim , Kihong Kim

I review the main features of the effective field theory (EFT) behind scenarios of dynamical electroweak symmetry breaking, placing particular emphasis on the systematics and the parallels that can be drawn with Chiral Perturbation Theory.…

High Energy Physics - Phenomenology · Physics 2015-12-23 Oscar Cata

The universal statistics of density fluctuations of localized quantum states may offer unprecedented opportunities to probe and understand quantum transport in connection with dimensionality, coherence, symmetry and disorder. To date, the…

Disordered Systems and Neural Networks · Physics 2026-05-29 Hai-Tao Ding , Sen Mu , Leong-Chuan Kwek , Gabriel Lemarié , Jiangbin Gong

We study electron correlation effects on quantum criticalities of Lifshitz transitions at zero temperature, using the mean-field theory based on a preexisting symmetry-broken order, in two-dimensional systems. In the presence of…

Strongly Correlated Electrons · Physics 2007-05-23 Youhei Yamaji , Takahiro Misawa , Masatoshi Imada

Dark pions are promising dark matter candidates, yet most analyses rely on leading-order (LO) chiral perturbation theory (ChPT). Motivated by the fact that, even for QCD pi-pi scattering, LO ChPT near threshold underestimates the isoscalar…

High Energy Physics - Phenomenology · Physics 2026-03-19 Yuki Watanabe

We investigate numerically the influence of Dirichlet boundary conditions on the nearest neighbor level spacing distribution $P(s)$ of a two-dimensional disordered tight-binding model in the presence of a strong perpendicular magnetic…

Disordered Systems and Neural Networks · Physics 2017-09-27 H. Potempa , L. Schweitzer

The quantum dynamics of atoms subjected to pairs of closely-spaced $\delta$-kicks from optical potentials are shown to be quite different from the well-known paradigm of quantum chaos, the singly-$\delta$-kicked system. We find the unitary…

Atomic Physics · Physics 2009-11-11 C. E. Creffield , G. Hur , T. S. Monteiro

We investigate the finite-size scaling behavior of the conductivity in a two-dimensional Dirac electron gas within a chiral sigma model. Based on the fact that the conductivity is a function of system size times scattering rate, we obtain a…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Andreas Sinner , Klaus Ziegler

We study a two-dimensional motion of a charged particle in a weak random potential and a perpendicular magnetic field. The correlation length of the potential is assumed to be much larger than the de Broglie wavelength. Under such…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. M. Fogler , A. Yu. Dobin , V. I. Perel , B. I. Shklovskii

The Anderson model for independent electrons in a disordered potential is transformed analytically and exactly to a basis of random extended states leading to a variant of augmented space. In addition to the widely-accepted phase diagrams…

Strongly Correlated Electrons · Physics 2007-05-23 Nigel Goldenfeld , Roger Haydock

We study the nature of the chiral transition for an effective theory with spontaneous breaking of symmetry, where charged bosons and fermions are subject to the effects of a constant external magnetic field. The problem is studied in terms…

High Energy Physics - Phenomenology · Physics 2014-07-02 Alejandro Ayala , Luis Alberto Hernandez , Ana Julia Mizher , Juan Cristobal Rojas , Cristian Villavicencio

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

Dynamical chiral symmetry breaking (D$\chi$SB) is studied in the Nambu-Jona-Lasinio model for an arbitrary combination of external constant electric and magnetic fields. In 3+1 dimensions it is shown that the critical coupling constant…

High Energy Physics - Theory · Physics 2009-10-30 A. Yu. Babansky , E. V. Gorbar , G. V. Shchepanyuk

The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it manifests as the breaking of chiral symmetry in the…

Strongly Correlated Electrons · Physics 2021-05-12 Colin Rylands , Alireza Parhizkar , Anton A. Burkov , Victor Galitski
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