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SciPost Physics, 2022 Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_\chi$ in addition to
Fabrizio Oliviero, João Augusto Sobral, Eric C. Andrade, Rodrigo G. Pereira
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Quantum Finite Elements for Lattice Field Theory [PDF]
Proceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015), 2016 Viable non-perturbative methods for lattice quantum field theories on curved manifolds are difficult. By adapting features from the traditional finite element methods (FEM) and Regge Calculus, a new simplicial lattice Quantum Finite Element (QFE) Lagrangian is constructed for fields on a smooth Riemann manifold.
Brower, Richard C. +5 more
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fcc lattice, checkerboards, fractons, and quantum field theory [PDF]
Physical Review B, 2021 We consider XY-spin degrees of freedom on an fcc lattice, such that the system respects some subsystem global symmetry. We then gauge this global symmetry and study the corresponding $U(1)$ gauge theory on the fcc lattice. Surprisingly, this $U(1)$ gauge theory is dual to the original spin system.
Pranay Gorantla +3 more
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Casimir Puzzle and Casimir Conundrum: Discovery and Search for Resolution
Universe, 2021 This paper provides a review of the complicated problems in Lifshitz theory describing the Casimir force between real material plates composed of metals and dielectrics, including different approaches to their resolution.
Vladimir M. Mostepanenko
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Fractional Quantum Field Theory: From Lattice to Continuum [PDF]
Advances in High Energy Physics, 2014 An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered. Lattice analogs of the fractional-order 4-dimensional differential operators are proposed.
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A New Computational Approach to Lattice Quantum Field Theories [PDF]
Proceedings of The XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008), 2009 15 pages, 6 figures; Plenary talk presented at the XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virginia ...
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Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories
Nuclear Physics B, 2017 We introduce a family of many-body quantum states that describe interacting spin one-half hard-core particles with bosonic or fermionic statistics on arbitrary one- and two-dimensional lattices.
Anna Hackenbroich, Hong-Hao Tu
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Application of Algorithms on Lattices in Post-Quantum Cryptography
Современные информационные технологии и IT-образованиеThe article analyzes approaches to the development of post-quantum algorithms, reviews progress in the field of quantum computers and post-quantum cryptographic encryption systems. One of the most promising approaches is considered, which is based on the
Nikolai Urban, Elena Melnikova
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Understanding the dynamics of randomly positioned dipolar spin ensembles
Physical Review Research, 2023 Dipolar spin ensembles with random spin positions are attracting much attention because they help us to understand decoherence as it occurs in solid-state quantum bits in contact with spin baths. Also, these ensembles are systems which may show many-body
Timo Gräßer +3 more
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Field Theory of Quantum Antiferromagnets: From the Triangular to the Kagome Lattice [PDF]
International Journal of Modern Physics B, 1998 We analyse a family of models, that interpolates between the Triangular lattice antiferromagnet (TLAF) and the Kagome lattice antiferromagnet (KLAF). We identify the field theories governing the low energy, long wavelength physics of these models. Near the TLAF the low energy field theory is a nonlinear sigma model of a SO(3) group valued field.
Shubashree, D., Shankar, R.
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