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We study the doping evolution of spin excitations in a 1D Hubbard model and its downfolded spin Hamiltonians, by using exact diagonalization combined with cluster perturbation theory. In all models, we observe hardening (softening) of spin…

Strongly Correlated Electrons · Physics 2019-05-08 Ekaterina M. Pärschke , Yao Wang , Brian Moritz , Thomas P. Devereaux , Cheng-Chien Chen , Krzysztof Wohlfeld

We examine the effect of spin gap on single-hole spectral function in the one-dimensional t-J-J'model. At J'/J=1/2, where a dimer state is the ground state, an analytic expression is derived for J/t \to 0. At finite values of J/t, the…

Strongly Correlated Electrons · Physics 2009-10-31 Takami Tohyama , Sadamichi Maekawa

We carry out a systematic study of collective spin- and charge excitations for the canonical single-band Hubbard, $t$-$J$-$U$, and $t$-$J$ models of high-temperature copper-oxide superconductors, both on electron- and hole-doped side of the…

Strongly Correlated Electrons · Physics 2024-03-14 Maciej Fidrysiak

We report numerical results for the single-hole properties in the $t$-$J$ model and the strong-coupling approximation to the Hubbard model in two dimensions. Using the hopping basis with over $10^6$ states we discuss (for an infinite…

Condensed Matter · Physics 2009-10-28 B. M. Elrick , A. E. Jacobs

In many condensed-matter systems, it is very useful to introduce a quasi-particle approach, which is based on some sort of linearization around a suitable background state. In order to be a systematic and controlled approximation, this…

Strongly Correlated Electrons · Physics 2013-03-19 Patrick Navez , Friedemann Queisser , Ralf Schützhold

We consider a particular 4-dimensional generalization of the transition from the Heisenberg to the Schr\"odinger picture. The space-time independent expansion with respect to the unitary irreducible representations of the Lorentz group is…

High Energy Physics - Theory · Physics 2009-10-30 Rudolf A. Frick

In the strong electron-electron (e-e) interaction limit each atomic site is constrained to be either empty or singly occupied. One can treat this scenario by fractionalizing the electrons into spin and charge degrees of freedom. We use the…

Strongly Correlated Electrons · Physics 2025-05-13 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

To discuss the interplay of electronic and lattice degrees of freedom in systems with strong Coulomb correlations we have performed an extensive numerical study of the two-dimensional Holstein t-J model. The model describes the interaction…

Strongly Correlated Electrons · Physics 2009-10-31 B. Bäuml , G. Wellein , H. Fehske

We demonstrate theoretically that a coherent manipulation of electron spins in low-dimensional semiconductor structures with spin-orbit coupling by infrared radiation is possible. The proposed approach is based on using a dipole force…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 E. Ya. Sherman , J. G. Muga , V. K. Dugaev , A. Ruschhaupt

The spin and charge excitations of the t--J ladder are studied by exact diagonalization techniques for several electron densities. The various modes are classified according to their spin (singlet or triplet excitations) and their parity…

Condensed Matter · Physics 2016-08-31 D. Poilblanc , D. J. Scalapino , W. Hanke

Building on the mapping of large-$S$ spin chains onto the O($3$) nonlinear $\sigma$ model with coupling constant $2/S$, and on general properties of that model (asymptotic freedom, implying that perturbation theory is valid at high energy,…

Strongly Correlated Electrons · Physics 2019-07-22 Samuel Gozel , Frédéric Mila , Ian Affleck

We discuss the spin excitations in systems with hopping electron conduction and strong position disorder. We focus on the problem in a strong magnetic field when the spin Hamiltonian can be reduced to the effective single-particle…

Disordered Systems and Neural Networks · Physics 2016-08-24 A. V. Shumilin

We extend random matrix theory to consider randomly interacting spin systems with spatial locality. We develop several methods by which arbitrary correlators may be systematically evaluated in a limit where the local Hilbert space dimension…

Statistical Mechanics · Physics 2020-01-08 Siddhardh C. Morampudi , Chris R. Laumann

We show how to construct a holographic effective theory for the leading-twist operators in the $O(2)$ model in the $4-d=\epsilon$ expansion up to $O(\epsilon^2)$, based on the separation of short-distance and long-distance effects that…

High Energy Physics - Theory · Physics 2025-08-29 Giulia Fardelli , A. Liam Fitzpatrick , Wei Li

Controlling the quantum many-body state of arrays of qudits, possessing a large local Hilbert space, opens the path to a broad range of possibilities for many-particle entanglement, interesting both for fundamental quantum science, as well…

Quantum Physics · Physics 2023-09-12 Youssef Trifa , Tommaso Roscilde

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 propose a Hamiltonian for a nonrelativistic spin 1/2 \QTR{it}{free} particle (e.g. an electron) and find that it contains information of its internal degrees of freedom in the rest coordinate system. We comment on the dynamical symmetry…

Quantum Physics · Physics 2007-05-23 S. Bruce

We derive a spin-dependent Hamiltonian that captures the symmetry of the zone edge states in silicon. We present analytical expressions of the spin-dependent states and of spin relaxation due to electron-phonon interactions in the…

Materials Science · Physics 2015-03-19 Pengke Li , Hanan Dery

We examine spectral properties of doped holes dressed with surrounding spin cloud in the t-J model. These composite-hole excitations well characterize prominent band structures in the angle-resolved photoemission spectrum. In…

Strongly Correlated Electrons · Physics 2015-03-31 Takashi Otaki , Yuta Yahagi , Hiroaki Matsueda

A finite size scaling analysis of the spectral function and of the optical conductivity of a single hole moving in an antiferromagnetic background is performed. It is shown that both the low energy quasiparticle peak and the broad higher…

Condensed Matter · Physics 2009-10-22 Didier Poilblanc , Timothy Ziman , H. J. Schulz , Elbio Dagotto