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Spin and charge are the two most important degrees of freedom of electrons. Their interplay lies at the heart of numerous strongly correlated phenomena including Hubbard model physics and high temperature superconductivity. Such interplay…

Spectral densities are computed in unprecedented detail for quantum antiferromagnetic spin 1/2 two-leg ladders. These results were obtained due to a major methodical advance achieved by optimally chosen unitary transformations. The approach…

Strongly Correlated Electrons · Physics 2009-11-07 C. Knetter , K. P. Schmidt , M. Grüninger , G. S. Uhrig

The edge of spin unpolarized or spin polarized $\nu=2/3$ fractional quantum Hall states is predicted by the effective theory to support a backward moving neutral mode in addition to a forward moving charge mode. We study this issue from a…

Mesoscale and Nanoscale Physics · Physics 2012-11-08 Ying-Hai Wu , G. J. Sreejith , Jainendra K. Jain

We study transitions between topological phases featuring emergent fractionalized excitations in two-dimensional models for Mott insulators with spin and orbital degrees of freedom. The models realize fermionic quantum critical points in…

Strongly Correlated Electrons · Physics 2020-12-16 Urban F. P. Seifert , Xiao-Yu Dong , Sreejith Chulliparambil , Matthias Vojta , Hong-Hao Tu , Lukas Janssen

Spinless fermions on a lattice with nearest-neighbor repulsion serve as a toy version Hubbard model, and have a symmetry-broken even/odd superlattice at half-filling. At infinite repulsion, doped holes form charged stripes which are…

Condensed Matter · Physics 2009-10-31 C. L. Henley , N. G. Zhang

When an electron with well-defined momentum tunnels into a nonchiral Luttinger liquid, it breaks up into two separate wave packets that carry fractional charges and move in opposite directions. A direct observation of this phenomenon has…

Mesoscale and Nanoscale Physics · Physics 2012-05-31 Ion Garate , Karyn Le Hur

Ultracold atoms confined to periodic potentials have proven to be a powerful tool for quantum simulation of complex many-body systems. We confine fermions to one-dimension to realize the Tomonaga-Luttinger liquid model describing the highly…

We investigate theoretically properties of two-dimensional topological insulator constrictions both in the integer and fractional regimes. In the presence of a perpedicular magnetic field, the constriction functions as a spin filter with…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Jelena Klinovaja , Daniel Loss

We study the Mott transition from a metal to cluster Mott insulators in the 1/4- and 1/8-filled pyrochlore lattice systems. It is shown that such Mott transitions can arise due to charge localization in clusters or in tetrahedron units,…

Strongly Correlated Electrons · Physics 2014-11-11 Gang Chen , Hae-Young Kee , Yong Baek Kim

We combine the first-quantized path-integral formalism and bosonization to develop a phenomenological theory for spin-charge coupled dynamics in one-dimensional (1D) ferromagnetic systems with strong interparticle repulsion, at low…

Strongly Correlated Electrons · Physics 2008-10-08 Shimul Akhanjee , Yaroslav Tserkovnyak

Despite fermion doubling, a two-dimensional quasi-relativistic spin-1/2 system can still lead to true fractionalization of electrical charge, when a massive ordered phase supports a "half-vortex". Such topological defect is possible when…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Bitan Roy , Igor F. Herbut

We propose the existence and study the solitonic excitations in two kinds of samples in the fractional quantum Hall regime. One is a strip modulated by a one-dimensional array of gates. The other is made of two parallel strips coupled by a…

Condensed Matter · Physics 2009-10-28 Eshel Ben-Jacob , Francisco Guinea , Ziv Hermon , Alexander Shnirman

In the presence of topologically nontrivial bosonic field configurations, the fermion number operator may take on fractional eigenvalues, because of the existence of zero-energy fermion modes. The simplest examples of this occur in 1+1…

High Energy Physics - Theory · Physics 2026-03-16 Sapan Karki , Brett Altschul

Two of the iconic phases of the hole-doped cuprate materials are the intermediate temperature pseudogap metal and the lower temperature $d$-wave superconductor. Following the suggestion of P. W. Anderson, there were early theories of these…

Strongly Correlated Electrons · Physics 2026-05-01 Subir Sachdev

We study various Mott insulating phases of interacting spin-3/2 fermionic ultracold atoms in two-dimensional square optical lattices at half filling. Using a generalized one-band Hubbard model with hidden SO(5) symmetry, we identify two…

Strongly Correlated Electrons · Physics 2009-11-13 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

We develop a nonperturbative zero-temperature theory for the dynamic response functions of interacting one-dimensional spin-1/2 fermions. In contrast to the conventional Luttinger liquid theory, we take into account the nonlinearity of the…

Strongly Correlated Electrons · Physics 2010-12-16 Thomas L. Schmidt , Adilet Imambekov , Leonid I. Glazman

We investigate topological Hall effects in a metallic antiferromagnetic (AFM) thin film and/or at the interface of an AFM insulator-normal metal bilayer with a single skyrmion in the diffusive regime. To determine the spin and charge Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-08 Amir N. Zarezad , Józef Barnaś , Anna Dyrdał , Alireza Qaiumzadeh

Spin-charge separation (SCS) is a striking manifestation of strong correlations in low-dimensional quantum systems, whereby a fermion splits into separate spin and charge excitations that travel at different speeds. Here, we demonstrate…

Strongly Correlated Electrons · Physics 2020-11-11 Hongmin Gao , Jonathan R. Coulthard , Dieter Jaksch , Jordi Mur-Petit

A model with a singular forward scattering amplitude for particles with opposite spins in d spatial dimensions is proposed and solved by using the bosonization transformation. This interacting potential leads to the spin-charge separation.…

Condensed Matter · Physics 2009-10-28 Krzysztof Byczuk , Jozef Spalek

We investigate the quantum phase transition from antiferromagnetism ($AF$) to algebraic spin liquid ($ASL$). {\it We propose that spin 1/2 fermionic spinons in the $ASL$ fractionalize into spin 1/2 bosonic spinons and spinless fermions at…

Strongly Correlated Electrons · Physics 2007-05-23 Ki-Seok Kim