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We study fermionic zero modes in the domain wall background. The fermions have Dirac and left- and right-handed Majorana mass terms. The source of the Dirac mass term is the coupling to a scalar field $\Phi$. The source of the Majorana mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dejan Stojkovic

We calculate the cross section for q(\bar q)g-production in diffractive DIS with finite fermion masses and zero momentum transfer. The calculation is done in the leading log(1/x_p) approximation and is valid for the region of high…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Bartels , H. Jung , A. Kyrieleis

We give a descriptive review of the Fermionic basis approach to the theory of correlation functions of the XXZ quantum spin chain. The emphasis is on explicit formulae for short-range correlation functions which will be presented in a way…

Statistical Mechanics · Physics 2021-09-22 Frank Göhmann , Raphael Kleinemühl , Alexander Weiße

The non-Abelian braiding of Majorana fermions is one of the most promising operations providing a key building block for the realization of topological quantum computation. Recently, the chiral Majorana fermions were observed in a hybrid…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Yan-Feng Zhou , Zhe Hou , Qing-Feng Sun

The full counting statistics (FCS) of current has long provided fundamental insights into nonequilibrium systems. Recently, the FCS in quantum many-body systems has attracted growing attention, driven by rapid experimental progress in…

Statistical Mechanics · Physics 2026-05-19 Taiki Ishiyama , Kazuya Fujimoto , Tomohiro Sasamoto

We investigate the full-counting statistics (FCS) of energy flow carried by electrons in the transient regime. Based on two measurement scheme we formulate a non-equilibrium Keldysh Green's function theory to compute the generating function…

Mesoscale and Nanoscale Physics · Physics 2017-06-23 Zhizhou Yu , Gao-Min Tang , Jian Wang

A model of 2D massive Dirac fermions, interacting with a instantaneous $1/r$ Coulomb interaction, is presented to mimic the physics of gapped graphene. The static polarization function is calculated explicitly to analyze screening effect at…

Other Condensed Matter · Physics 2015-05-20 Jia-Ning Zhang

We analyze the finite temperature phase diagram of$QC$ with fermions in the adjoint representation. The simulations performed with four dynamical Majorana fermions show that the deconfinement and chiral phase transitions occur at two…

High Energy Physics - Lattice · Physics 2009-10-31 Frithjof Karsch , Martin Lütgemeier

We derive a fully analytical, one-line closed-form expression for the cumulative distribution function (CDF) of the product of two correlated zero-mean normal random variables, avoiding any series representation. This result complements the…

Probability · Mathematics 2025-09-15 Erdinc Akyildirim , Alper Hekimoglu

We derive non-linear differential equations for correlation functions of U(1) twist fields in the two-dimensional massive Dirac theory. Primary U(1) twist fields correspond to exponential fields in the sine-Gordon model at the free-fermion…

High Energy Physics - Theory · Physics 2011-06-21 Benjamin Doyon , James Silk

We study a single exactly massless staggered fermion in the fundamental representation of an $SU(2)$ gauge group. We utilize an nHYP-smeared fermion action supplemented with additional heavy Pauli-Villars fields which serve to decrease…

High Energy Physics - Lattice · Physics 2024-12-20 Nouman Butt , Simon Catterall , Anna Hasenfratz

We study the low-energy physics of a chain of Majorana fermions in the presence of interaction and disorder, emphasizing the difference between Majoranas and conventional (complex) fermions. While in the non-interacting limit both models…

Disordered Systems and Neural Networks · Physics 2019-10-30 Jonas F. Karcher , Michael Sonner , Alexander D. Mirlin

We use the determinant Quantum Monte Carlo method (DQMC) to study the interaction-driven semimetal to antiferromagnetic insulator transition in a $\pi$-flux Hamiltonian with modulated hoppings, a model which has two species of Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 H. -M. Guo , Lei Wang , R. T. Scalettar

We derive the universal high momentum factorization of the fermion self-energy in the BCS-BEC crossover of ultracold atoms using nonperturbative quantum field theoretical methods. This property is then employed to compute the Tan contact as…

Quantum Gases · Physics 2013-02-08 Igor Boettcher , Sebastian Diehl , Jan M. Pawlowski , Christof Wetterich

We consider a simplified model in which Majorana fermion dark matter annihilates to charged fermions through exchange of charged mediators. We consider the gamma-ray signals arising from the processes $XX \rightarrow \bar f f \gamma$,…

High Energy Physics - Phenomenology · Physics 2016-07-27 Jason Kumar , Pearl Sandick , Fei Teng , Takahiro Yamamoto

We present a formalism to calculate finite-frequency current correlations in interacting nanoscale conductors. We work within the n-resolved density matrix approach and obtain a multi-time cumulant generating function that provides the…

Mesoscale and Nanoscale Physics · Physics 2011-04-05 C. Emary , D. Marcos , R. Aguado , T. Brandes

We consider theoretically the transport properties of a spinless resonant electronic level coupled to strongly dissipative leads, in the regime of circuit impedance near the resistance quantum. Using the Luttinger liquid analogy, one…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Huaixiu Zheng , Serge Florens , Harold U. Baranger

{We present the results of a numerical investigation of SU(2) gauge theory with $N_f=3/2$ flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the…

High Energy Physics - Lattice · Physics 2018-11-12 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

We show that a one dimensional device supporting a pair of Majorana bound states at its ends can produce remarkable Hanbury-Brown Twiss like interference effects between well separated Dirac fermions of pertinent energies. We find that the…

Mesoscale and Nanoscale Physics · Physics 2011-08-08 Sougato Bose , Pasquale Sodano

The factorization condition for the scattering amplitudes of an integrable model with a line of defect gives rise to a set of Reflection-Transmission equations. The solutions of these equations in the case of diagonal $S$-matrix in the bulk…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti
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