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The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite…

Materials Science · Physics 2007-05-23 R. L. Doretto , M. O. Goerbig , P. Lederer , A. O. Caldeira , C. Morais Smith

We report on a new electromagnetic phenomenon that emerges in Mott insulators, i.e., materials that do not conduct electricity because of strong electronic Coulomb repulsion. The phenomenon manifests as antiferromagnetic ordering due to…

Strongly Correlated Electrons · Physics 2015-05-13 K. A. Al-Hassanieh , C. D. Batista , G. Ortiz , L. N. Bulaevskii

Electron fractionalization into spinons and chargeons plays a crucial role in 2D models of strongly correlated electrons. In this paper we show that spin-charge separation is not a phenomenon confined to lower dimensions but, rather, we…

Strongly Correlated Electrons · Physics 2012-02-01 M. Cristina Diamantini , Carlo A. Trugenberger

We study the charge dynamics of the half-filled Hubbard model on the square lattice at zero temperature. We employ a slave-fermion formulation in which the charge degrees of freedom are represented by fermionic holons and doublons and the…

Strongly Correlated Electrons · Physics 2024-06-26 X. J. Han , Y. Liu , Z. Y. Liu , X. Li , J. Chen , Z. Y. Xie , B. Normand , T. Xiang

Based on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the \textit{s}-wave scattering lengths for the total spin $S=2,0$ satisfy…

Strongly Correlated Electrons · Physics 2007-05-23 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

We study the phase diagram of a one-dimensional extended Hubbard model with antiferromagnetic exchange interaction analytically and numerically. The bosonization and transfer-matrix renormalization group methods are used in the…

Strongly Correlated Electrons · Physics 2009-11-10 Jianhui Dai , Xiaoyong Feng , Tao Xiang , Yue Yu

Starting from the Hubbard model in the weak-coupling limit, we derive a spin-fermion model where the collective spin excitations are described by a non-linear sigma model. This result is used to compute the fermion spectral function $A({\bf…

Strongly Correlated Electrons · Physics 2007-05-23 N. Dupuis

The complex interplay between charge and spin dynamics lies at the heart of strongly correlated quantum materials, and it is a fundamental topic in basic research with far reaching technological perspectives. We explore in this paper the…

Strongly Correlated Electrons · Physics 2025-12-09 Jens H. Nyhegn , Kristian Knakkergaard Nielsen , Leon Balents , Georg M. Bruun

Within the framework of the fermion-spin theory based on the charge-spin separation, the charge dynamics of the doped antiferromagnet on a triangular lattice is studied. The holon part is treated by using the loop expansion to the second…

Strongly Correlated Electrons · Physics 2009-10-31 W. Q. Yu , Shiping Feng , Z. B. Huang , H. Q. Lin

We propose a series of paired spin-singlet quantum Hall states, which exhibit a separation of spin and charge degrees of freedom. The fundamental excitations over these states, which have filling fraction \nu=2/(2m+1) with m an odd integer,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Ardonne , F. J. M. van Lankvelt , A. W. W. Ludwig , K. Schoutens

The Haldane phase for antiferromagnetic spin-1 chains is a celebrated topological state of matter, featuring gapped excitations and fractional spin-1/2 edge states. Here, we provide numerical evidence that this phase can be realized with a…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 G. Catarina , J. Fernández-Rossier

A review is given of a relativistic non-Abelian gauge theory approach to the physics of spin-charge separation in doped quantum antiferromagnetic planar systems, proposed recently by the authors. Emphasis is put on the effects of constant…

Condensed Matter · Physics 2015-06-25 K. Farakos , N. E. Mavromatos

The spin excitations from the nonmagnetic charge-ordered insulating state of $\alpha$-(BEDT-TTF)$_2$I$_3$ at ambient pressure have been investigated by probing the static and low-frequency dynamic spin susceptibilities via site-selective…

Strongly Correlated Electrons · Physics 2016-09-08 Kyohei Ishikawa , Michihiro Hirata , Dong Liu , Kazuya Miyagawa , Masafumi Tamura , Kazushi Kanoda

Quantum Monte Carlo and density-matrix renormalization group methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Ohta , T. Nakaegawa , S. Ejima

General topologically invariant microscopical expressions for quantum numbers of particle-like solitons ("skyrmions") are derived for a class of (2+1)D models. Skyrmions are either half-integer spin fermions with odd electric charge or…

Strongly Correlated Electrons · Physics 2011-04-21 Victor M. Yakovenko

This work is a continuation of our recent study of non-relativistic charged particles, confined to a sphere enclosing a magnetic dipole at its center. In this sequel, we extend our computations in two significant ways. The first is to a…

High Energy Physics - Theory · Physics 2021-10-27 Jeff Murugan , Jonathan P. Shock , Ruach Pillay Slayen

We propose a novel approach to study the topological properties of matter. In this approach, fermionic atoms are placed in an external magnetic field and in a two-dimensional spin-dependent optical lattice (SDOL) created by intersecting…

Quantum Gases · Physics 2024-12-13 Igor Kuzmenko , Mirosław Brewczyk , Grzegorz Łach , Marek Trippenbach , Y. B. Band

Three-dimensional topological insulators can be described by an effective field theory involving two `hydrodynamic' Abelian gauge fields. The action contains a bulk topological BF term and a surface term, called loop model. This describes…

High Energy Physics - Theory · Physics 2024-06-05 Andrea Cappelli , Lorenzo Maffi , Riccardo Villa

The general 2-dimensional fermion system with repulsive interactions (typified by the Hubbard Model) is bosonized, taking into account the finite on-shell forward scattering phase shift derived in earlier papers. By taking this phase shift…

Condensed Matter · Physics 2009-10-28 P. W. Anderson , D. Khveshchenko

We calculate the contribution of deconfined spinons to inelastic neutron scattering (INS) in the fractionalized antiferromagnet (AF*), introduced elsewhere. We find that the presence of free spin-1/2 charge-less excitations leads to a…

Strongly Correlated Electrons · Physics 2009-11-07 C. Lannert , Matthew P. A. Fisher