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

Physica B Condensed Matter

Spin-density functional for exchange anisotropic Heisenberg model

Guilherme Nery Prata, Poliana H. Penteado, Fabiana Souza, Valter L. Líbero

Published Jul 6, 2009• 4 citations
Publisher
DOI
10.1016/j.physb.2009.07.066

Related papers

Thermal transport in the anisotropic Heisenberg chain with S = 1/2 and nearest-neighbor interactions

David L. Huber

The purpose of this note is to connect early work on thermal transport in spin-1/2 Heisenberg chains with uniaxial exchange anisotropy and nearest-neighbor interactions that was based on a moment analysis of the Fourier transform of the energy density correlation function with subsequent studies that make use of thermal current correlation functions.

arXiv:0806.2670•Jun 16, 2008•0 citations

Reduced density matrices of the anisotropic Heisenberg model

J. Ginibre

Communications in Mathematical Physics•Jun 1, 1968•23 citations

One-hole dynamics in the anisotropic three-dimensional t-J model

Weijie Zhang, Jue-lian Shen

We have studied one-hole dynamics in a quantum antiferromagnet by use of the anisotropic three-dimensional t-J model in the simple cubic lattice within the self-consistent Born approximation. The hole spectral function, the density of states, the quasiparticle dispersion relationship, the effective mass, the quasiparticle spectral weight, and the incoherent multiple spin-wave background are determined as functions of the Heisenberg exchange and hopping amplitude in the thermodynamic limit.

Journal of Physics Condensed Matter•May 30, 1994•0 citations

Green functions of the anisotropic Heisenberg model

J. Ginibre, C. Gruber

Communications in Mathematical Physics•Sep 1, 1969•15 citations

Density-functional formula for strongly correlated systems

WANGHuaiyu, HANRushan, CHENNanxian

Progress in Natural Science Materials International•Jan 1, 2005•0 citations

Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model

Daniel D. Scherer, Michael M. Scherer, Giniyat Khaliullin +2 more

We study the quantum many-body instabilities of the $t -J_{\mathrm{K}} - J_{\mathrm{H}}$ Kitaev-Heisenberg Hamiltonian on the honeycomb lattice as a minimal model for a doped spin-orbit Mott insulator. This spin-$1/2$ model is believed to describe the magnetic properties of the layered transition-metal oxide Na$_2$IrO$_3$. We determine the ground-state of the system with finite charge-carrier density from the functional renormalization group (fRG) for correlated fermionic systems. To this end, we derive fRG flow-equations adapted to the lack of full spin-rotational invariance in the fermionic interactions, here represented by the highly frustrated and anisotropic Kitaev exchange term. Additionally employing a set of Ward identities for the Kitaev-Heisenberg model, the numerical solution of the flow equations suggests a rich phase diagram emerging upon doping charge carriers into the ground-state manifold ($\mathbb{Z}_2$ quantum spin liquids and magnetically ordered phases). We corroborate superconducting triplet $p$-wave instabilities driven by ferromagnetic exchange and various singlet pairing phases. For filling $δ> 1/4$, the $p$-wave pairing gives rise to a topological state with protected Majorana edge-modes. For antiferromagnetic Kitaev and ferromagnetic Heisenberg exchange we obtain bond-order instabilities at van Hove filling supported by nesting and density-of-states enhancement, yielding dimerization patterns of the electronic degrees of freedom on the honeycomb lattice. Further, our flow equations are applicable to a wider class of model Hamiltonians.

arXiv:1403.6762•Physical Review B•Jul 28, 2014•29 citations
We study the quantum many-body instabilities of the t−JK−JHt -J_{\mathrm{K}} - J_{\mathrm{H}}t−JK​−JH​ Kitaev-Heisenberg Hamiltonian on the honeycomb lattice as a minimal model for a doped spin-orbit Mott insulator. This spin-1/21/21/2 model is believed to describe the magnetic properties of the layered transition-metal oxide Na2_22​IrO3_33​. We determine the ground-state of the system with finite charge-carrier density from the functional renormalization group (fRG) for correlated fermionic systems. To this end, we derive fRG flow-equations adapted to the lack of full spin-rotational invariance in the fermionic interactions, here represented by the highly frustrated and anisotropic Kitaev exchange term. Additionally employing a set of Ward identities for the Kitaev-Heisenberg model, the numerical solution of the flow equations suggests a rich phase diagram emerging upon doping charge carriers into the ground-state manifold (Z2\mathbb{Z}_2Z2​ quantum spin liquids and magnetically ordered phases). We corroborate superconducting triplet ppp-wave instabilities driven by ferromagnetic exchange and various singlet pairing phases. For filling δ>1/4δ> 1/4δ>1/4, the ppp-wave pairing gives rise to a topological state with protected Majorana edge-modes. For antiferromagnetic Kitaev and ferromagnetic Heisenberg exchange we obtain bond-order instabilities at van Hove filling supported by nesting and density-of-states enhancement, yielding dimerization patterns of the electronic degrees of freedom on the honeycomb lattice. Further, our flow equations are applicable to a wider class of model Hamiltonians.