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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

In terms of the exact quantum master equation solution for open electronic systems, the coherent dynamics of two charge states described by two parallel quantum dots with one fully polarized electron on either dot is investigated in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jinshuang Jin , Wei-Min Zhang , Matisse Wei-Yuan Tu , Nien-En Wang

Synthetic spin-orbit coupling in cold atoms couples the pseudo-spin and spatial degrees of freedom, and therefore the inherent spin symmetry of the system plays an important role. In systems of two pseudo-spin degrees, two particles contain…

Quantum Gases · Physics 2025-02-05 Ayaka Usui , Abel Rojo-Francàs , James Schloss , Bruno Juliá-Díaz

We show the existence of an exact ground state in certain parameter regimes of one-dimensional half-filled extended Hubbard model with site-off-diagonal interactions. In this ground state, the bond-located spin correlation exhibits a…

Strongly Correlated Electrons · Physics 2009-11-07 Kazuhito Itoh , Masaaki Nakamura , Norihiro Muramoto

We discuss the problem of spin-orbit interaction in a 2D chaotic or diffusive quantum dot in the presence of exchange correlations. Spin-orbit scattering breaks spin rotation invariance, and in the crossover regime between different…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hakan E. Tureci , Y. Alhassid

We present an exact solution of an experimentally realizable and strongly interacting one-dimensional spin system which is a limiting case of a quantum Ising model with long range interaction in a transverse and longitudinal field.…

Strongly Correlated Electrons · Physics 2015-05-30 Igor Lesanovsky

We present a new model for the study of spin-orbit coupling in interacting quasi-one-dimensional systems and solve it exactly to find the spectral properties of such systems. We show that the combination of spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Moroz , K. V. Samokhin , C. H. W. Barnes

Emergence of novel quantum ground states in correlated electron systems with strong spin-orbit coupling has been a recent subject of intensive studies. While it has been realized that spin-orbit coupling can provide non-trivial band…

Strongly Correlated Electrons · Physics 2016-09-05 Robert Schaffer , Eric Kin-Ho Lee , Bohm-Jung Yang , Yong Baek Kim

With a view to electrical spin manipulation and quantum computing applications, recent significant attention has been devoted to semiconductor hole systems, which have very strong spin-orbit interactions. However, experimentally measuring,…

Mesoscale and Nanoscale Physics · Physics 2018-10-08 Hong Liu , Elizabeth Marcellina , Alexander R. Hamilton , Dimitrie Culcer

Based on a positive semidefinite operator technique, exact ground states are deduced for the non-integrable conducting polymers possessing pentagon type of unit cell. The study is done in the presence of many-body spin-orbit interaction…

Strongly Correlated Electrons · Physics 2023-08-09 Zsolt Gulacsi

We establish exact results for the one-dimensional spin-orbital model for special values of the four-spin interaction $V$ and dimerization parameter $\delta$. The first exact result is at $\delta=1/2$ and $V=-2$. Because we find a very…

Statistical Mechanics · Physics 2007-05-23 M. J. Martins , B. Nienhuis

Spin-orbit coupling in solids describes an interaction between an electron's spin, an internal quantum-mechanical degree of freedom, with its linear momentum, an external property. Spin-orbit interaction, due to its relativistic nature, is…

Mesoscale and Nanoscale Physics · Physics 2014-08-07 J. Shabani , Younghyun Kim , A. P. McFadden , R. M. Lutchyn , C. Nayak , C. J. palmstrøm

Focusing on the efficient probe and manipulation of single-particle spin states, we investigate the coupled spin and orbital dynamics of a spin 1/2 particle in a harmonic potential subject to ultrastrong spin-orbit interaction and external…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 C. Echeverria-Arrondo , E. Ya. Sherman

We explore the influence of contact interactions on a synthetically spin-orbit coupled system of two ultracold trapped atoms. Even though the system we consider is bosonic, we show that a regime exists in which the competition between the…

Quantum Gases · Physics 2020-02-03 Ayaka Usui , Thomás Fogarty , Steve Campbell , Simon A. Gardiner , Thomas Busch

To clarify a crucial role of a spin-orbit coupling in the emergence of novel spin-orbital states in $5d$-electron compounds such as Sr$_{2}$IrO$_{4}$, we investigate ground state properties of a $t_{\rm 2g}$-orbital Hubbard model on a…

Strongly Correlated Electrons · Physics 2015-06-17 Hiroaki Onishi

The recent experimental realization of spin-orbit coupled Fermi gases provides a unique opportunity to study the interplay between strong interaction and SOC in a tunable, disorder-free system. We present here precision ab initio numerical…

Quantum Gases · Physics 2016-07-21 Hao Shi , Peter Rosenberg , Simone Chiesa , Shiwei Zhang

We describe the treatment of Rashba spin-orbit coupling (SOC) in interacting many-fermion systems within the auxiliary-field quantum Monte Carlo framework, and present a set of illustrative results. These include numerically exact…

Strongly Correlated Electrons · Physics 2019-06-10 Peter Rosenberg , Hao Shi , Shiwei Zhang

We study the approximability of computing the partition functions of two-state spin systems. The problem is parameterized by a $2\times 2$ symmetric matrix. Previous results on this problem were restricted either to the case where the…

Computational Complexity · Computer Science 2025-08-19 Yumou Fei , Leslie Ann Goldberg , Pinyan Lu

An exact-exchange spin-current Kohn-Sham method to treat non-collinear spin, magnetic effects, currents, spin-currents, and spin-orbit interactions self-consistently on equal footing is introduced. Spin-orbit interactions are shown to…

Materials Science · Physics 2007-05-23 Stefan Rohra , Eberhard Engel , Andreas Goerling

First examples of quasi-exactly solvable models describing spin-orbital interaction are constructed. In contrast with other examples of matrix quasi-exactly solvable models discussed in the literature up to now, our models admit (but still…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Ushveridze
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