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We study the interaction between a ferromagnetically ordered medium and the surface states of a topological insulator with a general surface termination. This interaction is strongly crystal face dependent and can generate chiral states…

Mesoscale and Nanoscale Physics · Physics 2013-03-19 Fan Zhang , C. L. Kane , E. J. Mele

Chirality is a ubiquitous phenomenon in the natural world. Many biomolecules without inversion symmetry such as amino acids and sugars are chiral molecules. Measuring and controlling molecular chirality at a high precision down to the…

We investigate the principal chiral model between two and four dimensions by means of a non perturbative Wilson-like renormalization group equation. We are thus able to follow the evolution of the effective coupling constants within this…

Statistical Mechanics · Physics 2009-10-31 M. Tissier , D. Mouhanna , B. Delamotte

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

Disordered Systems and Neural Networks · Physics 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

We establish a precise connection between discrete wavelet transforms (WTs) and entanglement renormalization (ER), a real-space renormalization group transformation for quantum systems on the lattice, in the context of free particle…

Strongly Correlated Electrons · Physics 2016-04-13 Glen Evenbly , Steven R. White

Naively, the "best" method of renormalization is the one where a momentum cutoff is taken to infinity while maintaining stable results due to a cutoff-dependent adjustment of counterterms. We have applied this renormalization method in the…

Nuclear Theory · Physics 2012-08-14 Ch. Zeoli , R. Machleidt , D. R. Entem

Topological entanglement entropy, a measure of the long-ranged entanglement, is related to the degeneracy of the ground state on a higher genus surface. The exact relation depends on the details of the topological theory. We consider a…

High Energy Physics - Theory · Physics 2015-12-21 Andrei Parnachev , Napat Poovuttikul

Domains of condensed-phase monolayers of chiral molecules exhibit a variety of interesting nonequilibrium structures when formed via pressurization. To model these domain patterns, we add a complex field describing the tilt degree of…

Condensed Matter · Physics 2009-10-28 Royce Kam , Herbert Levine

We study higher-dimensional homological analogues of bond percolation on a square lattice and site percolation on a triangular lattice. By taking a quotient of certain infinite cell complexes by growing sublattices, we obtain finite cell…

Probability · Mathematics 2023-10-02 Paul Duncan , Matthew Kahle , Benjamin Schweinhart

This is a short review on selected theory developments on Tensor Network (TN) states for strongly correlated systems. Specifically, we briefly review the effect of symmetries in TN states, fermionic TNs, the calculation of entanglement…

Strongly Correlated Electrons · Physics 2014-11-26 Roman Orus

We consider the entanglement entropy arising from edge-modes in Abelian $p$-form topological field theories in $d$ dimensions on arbitrary spatial topology and across arbitrary entangling surfaces. We find a series of descending area laws…

High Energy Physics - Theory · Physics 2024-10-08 Jackson R. Fliss , Stathis Vitouladitis

Chirality in polymeric systems enables a wide range of emergent optical, mechanical, and transport phenomena, yet a unified framework that quantitatively connects molecular-scale geometry to chiral behavior remains lacking. Existing…

Soft Condensed Matter · Physics 2026-02-20 Michael Grant , Poornima Padmanabhan

In this article two new algorithms are presented that convert a given data tensor train into either a Tucker decomposition with orthogonal matrix factors or a multi-scale entanglement renormalization ansatz (MERA). The Tucker core tensor is…

Numerical Analysis · Mathematics 2019-12-23 Kim Batselier , Andrzej Cichocki , Ngai Wong

Using a semiclassical Green's function formalism, we discover the emergence of chiral and topological orbital magnetism in two-dimensional chiral spin textures by explicitly finding the corrections to the orbital magnetization, proportional…

Materials Science · Physics 2017-06-20 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

At large N_c, cold nuclear matter is expected to form a crystal and thus spontaneously break translational symmetry. The description of chiral symmetry breaking and translational symmetry breaking can become intertwined. Here, the focus is…

Nuclear Theory · Physics 2011-07-04 Thomas D. Cohen , Prabal Adhikari , Mark C. Strother , Raja R. M. Ayyagari

The Rice-Mele model consists of a one-dimensional lattice with two sublattice sites in each unit cell subjected to a staggered sublattice potential. The onsite potential constitutes a mass term that breaks chiral symmetry. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Kiminori Hattori , Kenyu Chikamori , Hayato Iizuka , Ata Yamaguchi

We present a hybrid vertex/cell-centred model for mechanically simulating planar cellular monolayers undergoing cell reorganisation. Cell centres are represented by a triangular nodal network, while the cell boundaries are formed by an…

Cell Behavior · Quantitative Biology 2017-05-17 Payman Mosaffa , Antonio Rodríguez-Ferran , José J. Muñoz

We provide a non-renormalization theorem for the coefficients of the conformal anomaly associated with operators with vanishing anomalous dimensions. Such operators include conserved currents and chiral operators in superconformal field…

High Energy Physics - Theory · Physics 2009-10-31 Anastasios Petkou , Kostas Skenderis

Renormalizability of a lattice chiral fermion is studied at one loop level in the overlap formulation in four dimensions. The fermion chirality is examined including the self-energy corrections due to gauge interactions. Divergent terms…

High Energy Physics - Lattice · Physics 2009-10-30 Atsushi Yamada