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We analyse supersymmetric models that show supersymmetry breaking in one and two dimensions using lattice methods. Starting from supersymmetric quantum mechanics we explain the fundamental principles and problems that arise in putting…

High Energy Physics - Lattice · Physics 2015-05-28 Christian Wozar , Andreas Wipf

We study $\mathbb{Z}_2$ topologically ordered states enriched by translational symmetry by employing a recently developed 2D bosonization approach that implements an exact $\mathbb{Z}_2$ charge-flux attachment in the lattice. Such states…

Strongly Correlated Electrons · Physics 2021-05-18 Peng Rao , Inti Sodemann

Fundamentally understanding the lattice dynamics and microscopic mechanisms of thermal transport in cubic hybrid organic-inorganic perovskites remains elusive, primarily due to their strong anharmonicity and frequent phase transitions. In…

Understanding heat transport in semiconductors and insulators is of fundamental importance because of its technological impact in electronics and renewable energy harvesting and conversion. Anharmonic Lattice Dynamics provides a powerful…

Materials Science · Physics 2020-10-13 Giuseppe Barbalinardo , Zekun Chen , Nicholas W. Lundgren , Davide Donadio

We investigate the transport properties of neutral, fermionic atoms passing through a one-dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by projecting individually controlled, thin optical barriers on top…

Integrable models form pillars of theoretical physics because they allow for full analytical understanding. Despite being rare, many realistic systems can be described by models that are close to integrable. Therefore, an important question…

Strongly Correlated Electrons · Physics 2018-05-03 Marko Znidaric , Marko Ljubotina

A fragile topological insulator (FTI) can be viewed as an almost-atomic insulator, with emergent negative charges localized at certain real space points, even though the underlying lattice Hilbert space contains only positively charged…

Strongly Correlated Electrons · Physics 2021-01-27 Katherine Latimer , Chong Wang

Embedded defects proposed long ago (Z-vortices and Nambu monopoles) have been successfully searched for in 3D equilibrium lattice studies within the standard model near the electroweak phase transition and the crossover (which follows it…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. N. Chernodub , F. V. Gubarev , E. -M. Ilgenfritz , A. Schiller

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

Integrable systems have provided various insights into physical phenomena and mathematics. The way of constructing many-body integrable systems is limited to few ansatzes for the Lax pair, except for highly inventive findings of conserved…

Exactly Solvable and Integrable Systems · Physics 2021-08-31 Fumihiro Ishikawa , Hidemaro Suwa , Synge Todo

High-temperature spin transport in integrable quantum spin chains exhibits a rich dynamical phase diagram, including ballistic, superdiffusive, and diffusive regimes. While integrability is known to survive in static and periodically driven…

Statistical Mechanics · Physics 2026-02-11 Songlei Wang , Chenguang Liang , Hongzheng Zhao , Zhi-Cheng Yang

A theoretical approach to the influence of one-dimensional lattice fluctuations on electronic properties in weakly localized spin-Peierls systems is proposed using the renormalization group and the functional integral techniques. The…

Condensed Matter · Physics 2009-10-28 Claude Bourbonnais , Benoit Dumoulin

Transitionally turbulent flows frequently exhibit spatiotemporal intermittency, reflecting a complex interplay between driving forces, dissipation, and transport present in these systems. When this intermittency manifests as observable…

Plasma Physics · Physics 2023-09-28 Norman M. Cao , Di Qi

This paper investigates the problem of maintaining the safe operation of Waste-to-Energy (WtE) systems under operational constraints and uncertain waste inflows. We model this as a robust viability problem, formulated as a zero-sum…

Optimization and Control · Mathematics 2026-04-02 Achraf Bouhmady , Othman Cherkaoui Dekkaki

In multilayer moir\'e heterostructures, the interference of multiple twist angles ubiquitously leads to tunable ultra-long-wavelength patterns known as supermoir\'e lattices. However, their impact on the system's many-body electronic phase…

Finite-temperature properties of strongly correlated quantum matter are central to condensed matter, chemistry, and high-energy physics, yet are often inaccessible to classical methods such as quantum Monte Carlo (QMC). Here, we investigate…

Quantum Physics · Physics 2026-05-27 Roland C. Farrell , Yongtao Zhan , Lucas Katschke , Lode Pollet , Ilan T. Rosen , Jad C. Halimeh

We study dynamics of fermions loaded in an optical lattice with a superimposed parabolic trap potential. In the recent Hamburg experiments [J.Heinze et.al., Phys. Rev. Lett. 110, 085302 (2013)] on quantum simulation of photoconductivity, a…

Quantum Gases · Physics 2016-07-07 Tomotake Yamakoshi , Shinichi Watanabe , Shun Ohgoda , Alexander P. Itin

Engineering a Hamiltonian system with tunable interactions provides opportunities to optimize performance for quantum sensing and explore emerging phenomena of many-body systems. An optical lattice clock based on partially delocalized…

Weak topological phases are usually described in terms of protection by the lattice translation symmetry. Their characterization explicitly relies on periodicity since weak invariants are expressed in terms of the momentum-space torus. We…

Mesoscale and Nanoscale Physics · Physics 2016-07-01 I. C. Fulga , D. I. Pikulin , T. A. Loring

A kagome lattice naturally features Dirac fermions, flat bands and van Hove singularities in its electronic structure. The Dirac fermions encode topology, flat bands favour correlated phenomena such as magnetism, and van Hove singularities…

Strongly Correlated Electrons · Physics 2022-12-23 Jia-Xin Yin , Biao Lian , M Zahid Hasan
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