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We study analytically one-dimensional interacting spinless fermions in a Fibonacci potential. We show that the effects of the quasiperiodic modulation are intermediate between those of a commensurate potential and a disordered one. The…

Condensed Matter · Physics 2007-05-23 J. Vidal , D. Mouhanna , T. Giamarchi

Moduli stabilisation is key to obtaining phenomenologically viable string models. Non-geometric compactifications, like T-duality orbifolds (T-folds), are capable of freezing many moduli. However, in this Letter we emphasise that T-folds,…

High Energy Physics - Theory · Physics 2024-03-25 Alon E. Faraggi , Stefan Groot Nibbelink , Benjamin Percival

Topological phases have recently witnessed a rapid progress in non-Hermitian systems. Here we study a one-dimensional non-Hermitian Aubry-Andr\'e-Harper model with imaginary periodic or quasiperiodic modulations. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

We show that a large class of two-dimensional spinless fermion models exhibit topological superconducting phases characterized by a non-zero Chern number. More specifically, we consider a generic one-band Hamiltonian of spinless fermions…

Strongly Correlated Electrons · Physics 2010-01-27 Meng Cheng , Kai Sun , Victor Galitski , S. Das Sarma

Supersymmetrization of a nonlinear evolution equation in which the bosonic equation is independent of the fermionic variable and the system is linear in fermionic field goes by the name B-supersymmetrization. This special type of…

Exactly Solvable and Integrable Systems · Physics 2009-10-09 Amitava Choudhuri , B. Talukdar , S. Ghosh

Fermion zero modes of Bogomol'nyi-Prasad-Sommerfield monopole-string-domain wall composites in three spatial dimensions are studied. We analytically solve the Dirac equation and prove the existence of one fermion zero mode. Depending on…

High Energy Physics - Theory · Physics 2025-06-23 Minoru Eto , Yuito Suzuki

We study free open fermionic strings on a non-commutative phase space. Modified super-Virasoro algebras in both Ramond and Neveu-Schwarz sectors acquire non-commutativity anomalies, and this noncommutativity also breaks Lorentz symmetry and…

High Energy Physics - Theory · Physics 2026-03-11 Mohamed Adib Abdelmoumene , Nadir Belaloui

We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 T. Fukui , T. Fujiwara

We study a class of 4-dimensional $SU(N)$ chiral gauge theories with fermions in the 2-index symmetric and antisymmetric representations and classify their infrared phases. The choice $N=4\mathbb{Z}$ corresponds to gauging the fermion…

High Energy Physics - Theory · Physics 2022-03-02 Mohamed M. Anber , Sungwoo Hong , Minho Son

In this Letter we study the effect of topological zero modes on entanglement Hamiltonians and entropy of free chiral fermion systems in (1+1)d. We show how Riemann-Hilbert solutions combined with finite rank perturbation theory allow us to…

Statistical Mechanics · Physics 2017-09-27 Israel Klich , Diana Vaman , Gabriel Wong

Floquet engineering, the concept of tailoring a system by a periodic drive, is increasingly exploited to design and manipulate topological phases of matter. In this work, we study periodically driven higher-order topological Dirac…

Mesoscale and Nanoscale Physics · Physics 2023-03-30 Zi-Ming Wang , Rui Wang , Jin-Hua Sun , Ting-Yong Chen , Dong-Hui Xu

Recently a construction was given for the stress tensors of all sectors of the general current-algebraic orbifold A(H)/H, where A(H) is any current-algebraic conformal field theory with a finite symmetry group H. Here we extend and further…

High Energy Physics - Theory · Physics 2015-06-25 M. B. Halpern , J. E. Wang

A field theory describing the low-energy, long-wavelength sector of an incommensurate, spiral magnetic phase is derived from a spin-fermion model that is commonly used as a microscopic model for high-temperature superconductors. After…

Condensed Matter · Physics 2009-10-28 Susanne Klee , Alejandro Muramatsu

We investigate decay modes of spin-1 heavy vector bosons ($V'$) from the viewpoint of perturbative unitarity in a model-independent manner. Perturbative unitarity requires some relations among couplings. The relations are called unitarity…

High Energy Physics - Phenomenology · Physics 2017-04-19 Tomohiro Abe , Ryo Nagai

A new discrete symmetry group, which governs low-energy properties of the supersymmetric N=2 gauge theory is found. Each element of this group S_r, r being the rank of the gauge group, represents a permutation of r electric charges…

High Energy Physics - Theory · Physics 2011-09-23 Michael Kuchiev

In [1] a new bosonization procedure has been illustrated, which allows to express a fermionic gaussian system in terms of commuting variables at the price of introducing an extra dimension. The Fermi-Bose duality principle established in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Franco Ferrari

The dependence of torsion functors on their supporting ideals is investigated, especially in the case of monomial ideals of certain subrings of polynomial algebras over not necessarily Noetherian rings. As an application it is shown how…

Commutative Algebra · Mathematics 2014-04-03 Fred Rohrer

The status of the Standard Model (SM) is reviewed. We emphazize the fact that in spite of the success of the SM for the descrition of the fermionic sector, the status of the bosonic sector (gauge and scalar) suffers from many theoretical…

High Energy Physics - Phenomenology · Physics 2016-09-01 F. M. Renard

In this note we discuss vacant set level set percolation on a transient weighted graph. It interpolates between the percolation of the vacant set of random interlacements and the level set percolation of the Gaussian free field. We employ…

Probability · Mathematics 2019-04-17 Alain-Sol Sznitman

We study the $SU(2)_k/U(1)$-parafermion model perturbed by its first thermal operator. By formulating the theory in terms of a (perturbed) fermionic coset model we show that the model is equivalent to interacting WZW fields modulo free…

High Energy Physics - Theory · Physics 2009-10-30 D. C. Cabra , E. F. Moreno