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Quantum-disordered models provide a versatile platform to explore the emergence of quantum excitations in many-body systems. The engineering of spin models at the atomic scale with scanning tunneling microscopy and the local imaging of…

Mesoscale and Nanoscale Physics · Physics 2023-08-23 Netta Karjalainen , Zina Lippo , Guangze Chen , Rouven Koch , Adolfo O. Fumega , Jose L. Lado

We analyze, in exact terms, multiband 2D itinerant correlated fermionic systems with many-body spin-orbit interactions, and in-plane external magnetic fields. Even if such systems with broad applicability in leading technologies are…

Strongly Correlated Electrons · Physics 2020-01-07 Nóra Kucska , Zsolt Gulácsi

We investigate theoretically properties of two-dimensional topological insulator constrictions both in the integer and fractional regimes. In the presence of a perpedicular magnetic field, the constriction functions as a spin filter with…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Jelena Klinovaja , Daniel Loss

Twenty-five years after the first proposal, the question whether the ground state of a frustrated spin-half system is well described by a spin-liquid Resonating Valence Bond (RVB) wave function is still controversial. A physically…

Strongly Correlated Electrons · Physics 2007-05-23 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

A novel combined unitary and symmetric group approach is used to study the spin-$\frac{1}{2}$ Heisenberg model and related Fermionic systems in a spin-adapted representation, using a linearly-parameterised Ansatz for the many-body wave…

Strongly Correlated Electrons · Physics 2022-06-01 Werner Dobrautz , Vamshi M. Katukuri , Nikolay A. Bogdanov , Daniel Kats , Giovanni Li Manni , Ali Alavi

Tensor network states and specifically matrix-product states have proven to be a powerful tool for simulating ground states of strongly correlated spin models. Recently, they have also been applied to interacting fermionic problems,…

Quantum Physics · Physics 2016-11-22 C. Krumnow , L. Veis , Ö. Legeza , J. Eisert

The dynamical spin susceptibility is studied in the magnetically-disordered phase of heavy-Fermion systems near the antiferromagnetic quantum phase transition. In the framework of the $S=1/2$ Kondo lattice model, we introduce a perturbative…

Strongly Correlated Electrons · Physics 2009-10-31 C. Pepin , M. Lavagna

A new Monte Carlo method is proposed for fermion systems interacting with classical degrees of freedom. To obtain a weight for each Monte Carlo sample with a fixed configuration of classical variables, the moment expansion of the density of…

Strongly Correlated Electrons · Physics 2015-06-24 Yukitoshi Motome , Nobuo Furukawa

We study the spin edge states, induced by the combined effect of spin-orbit interaction (SOI) and hard-wall confining potential, in a two-dimensional electron system, exposed to a perpendicular magnetic field. We find an exact solution of…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 V. L. Grigoryan , A. Matos Abiague , S. M. Badalyan

We consider the behavior of Fermi atoms on optical superlattices with two-well structure of each node. Fermions on such lattices serve as an analog simulator of Fermi type Hamiltonian. We derive a mapping between fermion quantum ordering in…

Mesoscale and Nanoscale Physics · Physics 2014-08-22 A. M. Belemuk , N. M. Chtchelkatchev , A. V. Mikheyenkov

We systematically test a quasi-classical spin model of a large spin-lattice in energy space, with a tunable, reversible Hamiltonian and effective long-range interactions. The system is simulated by a weakly interacting Fermi gas undergoing…

Quantum Gases · Physics 2023-12-04 J. Huang , Camen A. Royse , I. Arakelyan , J. E. Thomas

Exploring strongly correlated spinful states of few fermionic ultracold atoms in a rapidly rotating trap, an example of which was recently realized for two fermionic $^6$Li atoms in an optical tweezer, we derive analytical (algebraic)…

Quantum Gases · Physics 2025-06-17 Constantine Yannouleas , Uzi Landman

We study the zero-temperature spin fluctuations of a two-dimensional itinerant-electron system with an incommensurate magnetic ground state described by a single-band Hubbard Hamiltonian. We introduce the (broken-symmetry) magnetic phase at…

Strongly Correlated Electrons · Physics 2009-10-31 E. Arrigoni , G. C. Strinati

Recent experiments with dilute trapped Fermi gases observed that weak interactions can drastically modify spin transport dynamics and give rise to robust collective effects including global demagnetization, macroscopic spin waves, spin…

Quantum Gases · Physics 2016-12-09 Andrew P. Koller , Michael L. Wall , Josh Mundinger , Ana Maria Rey

For a two-component bosonic system, the components can be mapped onto a pseudo-spin degree of freedom with spin quantum number S=1/2. We provide a rigorous proof that for a wide-range of real Hamiltonians with component independent mass and…

Soft Condensed Matter · Physics 2009-11-07 Kun Yang , You-Quan Li

Composite fermion wavefuctions have been used to describe electrons in a strong magnetic field. We show that the polynomial part of these wavefunctions can be obtained by applying a normal ordered product of suitably defined annihilation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. Ruuska , M. Manninen

Inspired by a continuously increasing interest in modeling and framing complex systems in a thermody- namic rationale, in this paper we continue our investigation in adapting well known techniques (originally stemmed in fields of physics…

Disordered Systems and Neural Networks · Physics 2015-06-17 Adriano Barra , Andrea Galluzzi , Francesco Guerra , Andrea Pizzoferrato , Daniele Tantari

We analyze a number of ``nearly exactly'' solvable models of electronic spectrum of two-dimensional systems with well-developed fluctuations of short range order of ``dielectric'' (e.g. antiferromagnetic) or ``superconducting'' type, which…

Superconductivity · Physics 2009-10-31 E. Z. Kuchinskii , M. V. Sadovskii

Two-dimensional abelian anyons are, in the magnetic gauge picture, represented as fermions coupled to magnetic flux tubes. For the ground state of such a system in a trapping potential, we theoretically and numerically investigate a Hartree…

Analysis of PDEs · Mathematics 2026-04-01 Antoine Levitt , Douglas Lundholm , Nicolas Rougerie

We initiate the study of neural-network quantum state algorithms for analyzing continuous-variable lattice quantum systems in first quantization. A simple family of continuous-variable trial wavefunctons is introduced which naturally…

Quantum Physics · Physics 2021-07-16 James Stokes , Saibal De , Shravan Veerapaneni , Giuseppe Carleo
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