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We find the rules which count the energy levels of the 3 state superintegrable chiral Potts model and demonstrate that these rules are complete. We then derive the complete spectrum of excitations in the thermodynamic limit in the massive…

Condensed Matter · Physics 2007-05-23 Srinandan Dasmahapatra , Rinat Kedem , Barry M. McCoy

We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeroes of associated transfer matrix eigenvalues with the exact results of the ferromagnetic…

High Energy Physics - Theory · Physics 2009-10-28 Rinat Kedem , Barry M. McCoy

We study the excitation spectrum and the correlation functions of the Z_3- chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We are mainly interested in results for general…

High Energy Physics - Theory · Physics 2009-10-28 A. Honecker , G. von Gehlen

The massive high-temperature phase of the chiral Potts quantum chain is studied using perturbative methods. For the Z_3-chain we present high-temperature expansions for the groundstate energy and the dispersion relations of the two…

High Energy Physics - Theory · Physics 2009-09-25 A. Honecker

We calculate the low-lying part of the spectrum of the $Z_3$-symmetrical chiral Potts quantum chain in its self-dual and integrable versions, using numerical diagonalisation of the hamiltonian for $N \leq 12$ sites and extrapolation $N \ra…

High Energy Physics - Theory · Physics 2007-05-23 G. von Gehlen

First, an algebraic criterion for integrability is discussed -the so-called `superintegrability'- and some results on the classification of superintegrable quantum spin Hamiltonians based on sl(2) are obtained. Next, the massive phases of…

High Energy Physics - Theory · Physics 2016-09-06 Andreas Honecker

Results are given for the ground state energy and excitation spectrum of a simple $N$-state $Z_N$ spin chain described by free parafermions. The model is non-Hermitian for $N \ge 3$ with a real ground state energy and a complex excitation…

Statistical Mechanics · Physics 2017-03-24 Francisco C Alcaraz , Murray T Batchelor , Zi-Zhong Liu

In the standard theory of superconductivity a quasiparticle excitation changes the energy of the system by the quasiparticle energy. But the number of excitations determine also the gap energy which further determines the energy of the…

Superconductivity · Physics 2014-05-20 Dragos-Victor Anghel , George Alexandru Nemnes

Using perturbative methods we derive new results for the spectrum and correlation functions of the general Z_3-chiral Potts quantum chain in the massive low-temperature phase. Explicit calculations of the ground state energy and the first…

High Energy Physics - Theory · Physics 2009-10-22 N. S. Han , A. Honecker

At high magnetic field, the semiclassical approximation which underlies the Ginzburg-Landau theory of the mixed state of type II superconductors breaks down. In a quasi-1D superconductor with an {\it open Fermi surface}, a high magnetic…

Condensed Matter · Physics 2009-10-22 N. Dupuis

We study the excitation spectrum of a family of transverse-field spin chain models with variable interaction range and arbitrary spin $S$, which in the case of $S=1/2$ interpolates between the Lipkin-Meshkov-Glick and the Ising model. For…

Quantum Physics · Physics 2016-04-27 Manuel Gessner , Victor Manuel Bastidas , Tobias Brandes , Andreas Buchleitner

We investigate the quantum entanglement content of quasi-particle excitations in extended many-body systems. We show that such excitations give an additive contribution to the bi-partite von Neumann and R\'enyi entanglement entropies that…

Statistical Mechanics · Physics 2018-10-31 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , István M. Szécsényi

The mass spectrum of the 3d 3-state Potts model is considered in the broken phase (a) near the second order Ising critical point in the temperature-magnetic field plane and (b) near the weakly first order transition point at zero magnetic…

High Energy Physics - Lattice · Physics 2011-01-25 R. Falcone , R. Fiore , M. Gravina , A. Papa

We study the perturbation theory for the general non-integrable chiral Potts model depending on two chiral angles and a strength parameter and show how the analyticity of the ground state energy and correlation functions dramatically…

High Energy Physics - Theory · Physics 2009-10-28 Barry M. McCoy , William P. Orrick

Much of modern condensed matter physics is understood in terms of elementary excitations, or quasiparticles - fundamental quanta of energy and momentum. Various strongly-interacting atomic systems are successfully treated as a collection of…

Strongly Correlated Electrons · Physics 2010-07-28 Matthew B. Stone , Igor A. Zaliznyak , Tao Hong , Collin L. Broholm , Daniel H. Reich

We show that the entanglement entropy of single quasiparticle excitations of one dimensional systems exceeds the ground state entanglement entropy for log(2), if the correlation length of the system is finite. For quadratic fermion systems…

Quantum Physics · Physics 2012-02-16 Iztok Pizorn

Consistent statistical physical description is given for systems where the elementary excitations are composite objects. Explicit calculational scheme is constructed for the energy density and the total number of thermodynamical degrees of…

High Energy Physics - Phenomenology · Physics 2011-03-01 A. Jakovac

We investigate the dynamics of the three-state Potts quantum spin chain in the extreme ferromagnetic limit using a perturbative expansion in the transverse magnetic field. We demonstrate that a perturbative approach provides access to…

Statistical Mechanics · Physics 2026-04-13 Anna Krasznai , Sergei Rutkevich , Gábor Takács

Interactions between elementary excitations in quasi-one dimensional antiferromagnets are of experimental relevance and their quantitative theoretical treatment has been a theoretical challenge for many years. Using matrix product states,…

Strongly Correlated Electrons · Physics 2016-06-22 Laurens Vanderstraeten , Jutho Haegeman , Frank Verstraete , Didier Poilblanc

We review recent results concerning the representation of conformal field theory characters in terms of fermionic quasi-particle excitations, and describe in detail their construction in the case of the integrable three-state Potts chain.…

High Energy Physics - Theory · Physics 2014-11-18 S. Dasmahapatra , R. Kedem , T. R. Klassen , B. M. McCoy , E. Melzer
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