Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0607750 · Physical Review B

Exact two-holon wave functions in the Kuramoto-Yokoyama model

Ronny Thomale, Dirk Schuricht, Martin Greiter

Published Jul 24, 2006• 7 citations
arXivHTMLPDF

Abstract

We construct the explicit two-holon eigenstates of the SU(2) Kuramoto-Yokoyama model at the level of explicit wave functions. We derive the exact energies and obtain the individual holon momenta, which are quantized according to the half-Fermi statistics of the holons.
DOI
10.1103/physrevb.74.024423

Related papers

Charge excitations in SU(n) spin chains: Exact results for the 1∕r2 model

Ronny Thomale, Dirk Schuricht, Martin Greiter

We study the one- and two-holon excitations of the SU(3) Kuramoto-Yokoyama model on the level of explicit wave functions, and generalize the calculations to the case of $\mathrm{SU}(n)$. We obtain the exact energies and the single-holon momenta, which we find fractionally spaced according to fractional statistics with statistical parameter $g=1∕n$.

arXiv:cond-mat/0610268•Physical Review B•Jan 5, 2007•6 citations

On the SU(2)×SU(2) symmetry in the Hubbard model

Dorota Jakubczyk, Paweł Jakubczyk

Abstract We discuss the one-dimensional Hubbard model, on finite sites spin chain, in context of the action of the direct product of two unitary groups SU(2)×SU(2). The symmetry revealed by this group is applicable in the procedure of exact diagonalization of the Hubbard Hamiltonian. This result combined with the translational symmetry, given as the basis of wavelets of the appropriate Fourier transforms, provides, besides the energy, additional conserved quantities, which are presented in the case of a half-filled, four sites spin chain. Since we are dealing with four elementary excitations, two quasiparticles called “spinons”, which carry spin, and two other called “holon” and “antyholon”, which carry charge, the usual spin-SU(2) algebra for spinons and the so called pseudospin-SU(2) algebra for holons and antiholons, provide four additional quantum numbers.

Open Physics•May 30, 2012•7 citations

Interaction among particles with fractionalized quantum numbers in one-dimensional samples

Bernevig B. A, R. B. Laughlin, Domenico Giuliano

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 motion both for the two-spinon wavefunction and for the one-spinon, one-holon wavefunction. By solving the equations of motion we find the spinon-spinon and spinon-holon interaction to be a short-range attraction. The physical consequences of such an attraction on the spin-form factor and on the hole-spectral function are also worked out.

•Jan 1, 2003•0 citations

Interaction among particles with fractionalized quantum numbers in one dimensional samples

Bogdan Andrei Bernevig, Domenico 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 motion both for the two-spinon wavefunction and for the one-spinon, one-holon wavefunction. By solving the equations of motion we find the spinon-spinon and spinon-holon interaction to be a short-range attraction. The physical consequences of such an attraction on the spin-form factor and on the hole-spectral function are also worked out.

arXiv:cond-mat/0301593•Jan 30, 2003•0 citations

Exact analytical solutions for the Hubbard model with unconstrained hopping

Mario Salerno

A general method to construct basis functions for fermionic systems which possess the U(1), SU(2) and Sf symmetry is presented. We use this method to derive the analytical expression for the ground state energy of the Hubbard model with unconstrained hopping at half filling and for arbitrary lattice sites.

Physica Scripta•Jul 1, 1996•5 citations

Exact Diagonalization of Many-Fermion Hamiltonian Combined with Wave-Function Readjustment: Application to One-Dimensional Systems

Józef Spałek, Robert Podsiadły, Adam Rycerz +1 more

We describe briefly a new method of approach to the interacting fermion and boson systems. Namely, we determine the explicit form of the single-particle wave functions {w$_{i}$(r)} appearing in the microscopic parameters of models in the second-quantization representation. The method is illustrated on the examples of H$_{2}$ molecule and He atom, the Hubbard chain, and a ring of N $\leq$ 10 atoms.

AcPPB•Dec 1, 2000•0 citations
We study the one- and two-holon excitations of the SU(3) Kuramoto-Yokoyama model on the level of explicit wave functions, and generalize the calculations to the case of SU(n)\mathrm{SU}(n)SU(n). We obtain the exact energies and the single-holon momenta, which we find fractionally spaced according to fractional statistics with statistical parameter g=1∕ng=1∕ng=1∕n.
Abstract We discuss the one-dimensional Hubbard model, on finite sites spin chain, in context of the action of the direct product of two unitary groups SU(2)×SU(2). The symmetry revealed by this group is applicable in the procedure of exact diagonalization of the Hubbard Hamiltonian. This result combined with the translational symmetry, given as the basis of wavelets of the appropriate Fourier transforms, provides, besides the energy, additional conserved quantities, which are presented in the case of a half-filled, four sites spin chain. Since we are dealing with four elementary excitations, two quasiparticles called “spinons”, which carry spin, and two other called “holon” and “antyholon”, which carry charge, the usual spin-SU(2) algebra for spinons and the so called pseudospin-SU(2) algebra for holons and antiholons, provide four additional quantum numbers.
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 motion both for the two-spinon wavefunction and for the one-spinon, one-holon wavefunction. By solving the equations of motion we find the spinon-spinon and spinon-holon interaction to be a short-range attraction. The physical consequences of such an attraction on the spin-form factor and on the hole-spectral function are also worked out.
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 motion both for the two-spinon wavefunction and for the one-spinon, one-holon wavefunction. By solving the equations of motion we find the spinon-spinon and spinon-holon interaction to be a short-range attraction. The physical consequences of such an attraction on the spin-form factor and on the hole-spectral function are also worked out.
We describe briefly a new method of approach to the interacting fermion and boson systems. Namely, we determine the explicit form of the single-particle wave functions {wi_{i}i​(r)} appearing in the microscopic parameters of models in the second-quantization representation. The method is illustrated on the examples of H2_{2}2​ molecule and He atom, the Hubbard chain, and a ring of N ≤\leq≤ 10 atoms.