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An evolution equation for the expectation values of the Boltzmann factor between monomer valence bond states is derived. It contains the whole information on the thermodynamical and magnetic properties of the spin $\frac{1}{2}$ quantum…

Condensed Matter · Physics 2008-02-03 K. -H. Mütter

A new classical 2-spinor approach to $U(1)$ gauge theory is presented in which the usual four-potential vector field is replaced by a symmetric second rank spinor. Following a lagrangian formulation, it is shown that the four-rank spinor…

High Energy Physics - Theory · Physics 2014-06-04 J. Buitrago

We study the phase diagram of coupled spin-1/2 chains with bilinear and (chiral) three-spin exchange interactions in a magnetic field. The model is soluble on a one-parametric line in the space of coupling constants connecting the limiting…

Strongly Correlated Electrons · Physics 2009-10-31 Holger Frahm , Claus Rödenbeck

The Goldstone theorem mandates that a spontaneous symmetry breaking entails the emergence of gap(mass)less excitations. In the case where a rotational invariance of a system of spin magnetic moments is broken by an antiferromagnetic order,…

Strongly Correlated Electrons · Physics 2016-06-27 E. G. Sergeicheva , S. S. Sosin , L. A. Prozorova , G. D. Gu , I. A. Zaliznyak

In this paper, by using two dimensional (2D) Hubbard models with pi-flux phase and that on a hexagonal lattice as examples, we explore spin-charge-separated solitons in nodal antiferromagnetic (AF) insulator - an AF order with massive Dirac…

Strongly Correlated Electrons · Physics 2009-11-13 Su-Peng Kou

We show that in the SU(2)XU(1) spin-charge gauge approach we developed earlier one can attribute consistently an exclusion statistics with parameter 1/2 to the spinless charge carriers of the t-J model in two dimensions(2D), as it occurs in…

Strongly Correlated Electrons · Physics 2019-07-12 P. A. Marchetti , F. Ye , Z. B. Su , L. Yu

There has been considerable debate on the onset of exotic spin phenomena in quantum wires due to enhanced many-body effects caused by the one-dimensional (1D) alignment of charge carriers. We explain various observed spin effects, such as a…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Alfredo X. Sánchez , Jean-Pierre Leburton

Using a simplified lattice version of the electroweak sector of the standard model, with dynamical fermions excluded, we determine at fixed Weinberg angle the transition line between the confined phase and the Higgs phase, the latter…

High Energy Physics - Lattice · Physics 2023-12-27 Shivam Gangwani , Jeff Greensite , Anass Oualla

Topologically ordered states are quantum states of matter with topological ground state degeneracy and quasi-particles carrying fractional quantum numbers and fractional statistics. The topological spin $\theta_a=2\pi h_a$ is an important…

Strongly Correlated Electrons · Physics 2014-09-02 Hong-Hao Tu , Yi Zhang , Xiao-Liang Qi

One-dimensional spin-1/2 systems are well-known candidates to study the quantum correlations between particles. In the condensed matter physics, studies often are restricted to the 1st neighbor particles. In this work, we consider the 1D…

Strongly Correlated Electrons · Physics 2017-11-08 Salimeh Mahdavifar , Saeed Mahdavifar , R. Jafari

In this paper we describe the electrons of the 1D Hubbard model by a fluid of unpaired rotated electrons and a fluid of zero-spin rotated-electron pairs. The rotated electrons are related to the original electrons by a mere unitary…

Strongly Correlated Electrons · Physics 2009-11-10 J. M. P. Carmelo , J. M. Roman , K. Penc

A spin-charge unifying description for the Hubbard model based on the time dependent local gauge transformations is developed. The collective variables for charge and spin are isolated in the form of the space-time fluctuating U(1) phase…

Strongly Correlated Electrons · Physics 2015-06-25 Tadeusz. K. Kopec

We introduce a quantum spin-1/2 model with many-body correlated Heisenberg-type interactions on the 2D square lattice, designed to host a plaquette valence-bond solid (PVBS) ground state breaking $\mathbb{Z}_4$ symmetry. We carry out a…

Strongly Correlated Electrons · Physics 2020-09-30 Jun Takahashi , Anders W. Sandvik

We study different aspects of monopoles in the Higgs phase which are confined by (non-abelian) vortices in \cal{N}=2 SQCD with gauge group U(N) and N_f >= N massive flavors, including generalized FI-terms. We compute in particular the…

High Energy Physics - Theory · Physics 2015-05-28 David Burke , Robert Wimmer

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

Strongly Correlated Electrons · Physics 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

Using Monte Carlo simulations, we study a Higgs transition in several three-dimensional lattice realizations of the noncompact CP$^1$ model (NCCP$^1$), a gauge theory with two complex matter fields with SU(2) invariance. By comparing with a…

Statistical Mechanics · Physics 2008-05-13 Olexei I. Motrunich , Ashvin Vishwanath

Spontaneous symmetry breaking of interacting fermion systems constitutes a major challenge for many-body theory due to the proliferation of new independent scattering channels once absent or degenerate in the symmetric phase. One example is…

Strongly Correlated Electrons · Physics 2025-05-30 Lorenzo Del Re

According to the preceding studies, the lattice SU(2) gauge-scalar model with a single scalar field in the fundamental representation of the gauge group has a single confinement-Higgs phase where confinement and Higgs regions are subregions…

High Energy Physics - Lattice · Physics 2024-03-26 Ryu Ikeda , Seikou Kato , Kei-Ichi Kondo , Akihiro Shibata

We derive an expression for the tensor polarization of a system of massive spin-1 particles in a hydrodynamic framework. Starting from quantum kinetic theory based on the Wigner-function formalism, we employ a modified method of moments…

Nuclear Theory · Physics 2023-03-09 David Wagner , Nora Weickgenannt , Enrico Speranza

Asymptotic properties of nearly-half-filled one-dimensional conductors coupled with phonons are studied through a renormalization group method. Due to spin-charge coupling via electron-phonon interaction, the spin correlation varies with…

Strongly Correlated Electrons · Physics 2009-04-27 K. Yonemitsu , M. Imada
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