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Related papers: Coordinate Representation of the One-Spinon One-Ho…

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We derive the coordinate representation of the one-spinon one-holon wavefunction for the supersymmetric $t-J$ model with $1/r^2$-interaction. This result allows us to show that spinon and holon attract each other at short distance. The…

Strongly Correlated Electrons · Physics 2009-11-07 B. A. Bernevig , D. Giuliano , R. B. Laughlin

By deriving and studying the coordinate representation for the two-spinon wavefunction, we show that spinon excitations in the Haldane-Shastry model interact. The interaction is given by a short-range attraction and causes a resonant…

Strongly Correlated Electrons · Physics 2009-10-31 B. A. Bernevig , D. Giuliano , R. B. Laughlin

The elementary excitations of strongly correlated one-dimensional electronic systems - spinons and holons - are discussed in an exact solution of the Haldane-Shastry and Kuramoto-Yokoyama model. We derive and exactly solve the equation of…

Strongly Correlated Electrons · Physics 2007-05-23 Bogdan A. Bernevig , Domenico Giuliano , Robert B. Laughlin

We derive the representation of the two-spinon wavefunction for the Haldane-Shastry model in terms of the spinon coordinates. This result allows us to rigorously analyze spinon interaction and its physical effects. We show that spinons…

Condensed Matter · Physics 2009-10-31 B. A. Bernevig , D. Giuliano , R. B. Laughlin

We calculate the spectral function of a one-dimensional strongly interacting chain of fermions, where the response can be well understood in terms of spinon and holon excitations. Upon increasing the spin imbalance between the spin species,…

Strongly Correlated Electrons · Physics 2015-05-14 Tobias Ulbricht , Peter Schmitteckert

We consider a generalization of the one-dimensional t-J model with anisotropic spin-spin interactions. We show that the anisotropy leads to an effective attractive interaction between the spinon and holon excitations, resulting in a…

Strongly Correlated Electrons · Physics 2007-09-11 Jurij Smakov , A. L. Chernyshev , Steven R. White

The Gutzwiller projection is shown to induce nontrivial correlation between the spinon and the holon in the slave Boson theory of the $t-J$ model. We find this correlation is responsible some subtle differences between the slave Boson mean…

Superconductivity · Physics 2007-05-23 Hong-Yu Yang , Tao Li

The spectral function of one hole in different magnetic states of the one-dimensional t-J model including three-site term and frustration $J^{\prime}$ is studied. In the strong coupling limit $J \to 0$ (corresponding to $U \to \infty$ of…

Strongly Correlated Electrons · Physics 2009-10-31 R. Hayn , R. O. Kuzian

Long-range $(r \sim p_F^{-1} \gg lattice \ spacing)$ spin-wave exchange produces a very strong pairing of the holes. The different symmetry solutions of BCS-type equation for the superconducting gap $\Delta$ are found. The most strong…

Condensed Matter · Physics 2009-10-22 V. V. Flambaum , M. Yu. Kuchiev , O. P. Sushkov

The motion of a single hole in a 2D triangular antiferromagnet is investigated using the t-J model. The one-hole states are described by strings of spin deviations around the hole. Using projection technique the one-hole spectral function…

Strongly Correlated Electrons · Physics 2009-10-31 Matthias Vojta

We show that when an electron or photon propagates in a cylindrically symmetric waveguide, it experiences both a zitterbewegung effect and a spin-orbit interaction leading to identical propagation dynamics for both particles. Applying a…

Quantum Physics · Physics 2015-06-17 C. C. Leary , Karl H. Smith

The motion of a single hole in an arbitrary magnetic background is investigated for the 2D t-J model. The wavefunction of the hole is described within a generalized string picture which leads to a modified concept of spin polarons. We…

Strongly Correlated Electrons · Physics 2009-10-30 Matthias Vojta , Klaus W. Becker

We construct thermodynamics of the one-dimensional supersymmetric {\it t-J} model with the $ 1/\sin^2$ interaction and hopping. The thermodynamics is described exactly in terms of free spinons and holons obeying Haldane's fractional…

Condensed Matter · Physics 2007-05-23 Yusuke Kato , Yoshio Kuramoto

We obtain an exact result on single hole dynamics in one-dimensional Mott-insulators through the study on the supersymmetric t-J model with long range interaction at half-filling. We calculate the expression G_{1s1h}(x,t) for one spinon one…

Strongly Correlated Electrons · Physics 2007-05-23 Yusuke Kato

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 consider a correlated wavefunction including particle-hole pairing at half a reciprocal lattice vector for itinerant electrons hopping on a square lattice in two dimensions and subject both to on-site and nearest-neighbor repulsion. We…

Condensed Matter · Physics 2007-05-23 Chetan Nayak , Frank Wilczek

We use an exact {\it holon} and {\it spinon} Landau-liquid functional which describes the holon - spinon interactions at all scattering orders, to study correlation functions of integrable multicomponent many-particle problems showing both…

Strongly Correlated Electrons · Physics 2021-06-18 J. M. P. Carmelo , J. M. E. Guerra , J. M. B. Lopes dos Santos , A. H. Castro Neto

The mapping between the fermion and spinon compositions of eigenstates in the one-dimensional spin-1/2 XX model on a lattice with N sites is used to describe the spinon interaction from two different perspectives: (i) For finite N the…

Strongly Correlated Electrons · Physics 2009-11-13 Michael Karbach , Gerhard Muller , Klaus Wiele

The electron (hole) spin-photon interaction is studied in an asymmetrical InSb (Ge) nanowire quantum dot. The spin-orbit coupling in the quantum dot mediates not only a transverse spin-photon interaction, but also a longitudinal spin-photon…

Mesoscale and Nanoscale Physics · Physics 2024-02-12 Rui Li

We study the binding of a holon and a spinon in the one-dimensional anisotropic t-J model using a Bethe-Salpeter equation approach, exact diagonalization, and density matrix renormalization group methods on chains of up to 128 sites. We…

Strongly Correlated Electrons · Physics 2007-06-29 Jurij Smakov , A. L. Chernyshev , Steven R. White
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