Publications by Fabian Essler


Dynamical correlations of the spin-1/2 Heisenberg XXZ chain in a staggered field

PHYSICAL REVIEW B 79 (2009) ARTN 024402

I Kuzmenko, FHL Essler


Local density of states of one-dimensional Mott insulators and charge-density wave states with a boundary.

Phys Rev Lett 101 (2008) 086403-

D Schuricht, FHL Essler, A Jaefari, E Fradkin

We determine the local density of states of one-dimensional incommensurate charge-density wave states in the presence of a strong impurity potential, which is modeled by a boundary. We find that the charge-density wave gets pinned at the impurity, which results in a singularity in the Fourier transform of the local density of states at momentum 2k_{F}. At energies above the spin gap we observe dispersing features associated with the spin and charge degrees of freedom, respectively. In the presence of an impurity magnetic field we observe the formation of a bound state localized at the impurity. All of our results carry over to the case of 1D Mott insulators by exchanging the roles of spin and charge degrees of freedom. We discuss the implications of our result for scanning tunneling microscopy experiments on spin-gap systems such as two-leg ladder cuprates.


Modeling magnetic fluctuations in the stripe ordered state

PHYSICAL REVIEW B 78 (2008) ARTN 214509

RM Konik, FHL Essler, AM Tsvelik


Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41 (2008) ARTN 485002

J de Gier, FHL Essler


Finite-temperature lineshapes in gapped quantum spin chains

PHYSICAL REVIEW B 78 (2008) ARTN 100403

FHL Essler, RM Konik


Finite-temperature dynamical structure factor of alternating Heisenberg chains

PHYSICAL REVIEW B 78 (2008) ARTN 094411

AJA James, FHL Essler, RM Konik


Test of the low-energy model for one-dimensional interacting Fermi systems

PHYSICAL REVIEW B 77 (2008) ARTN 161102

AV Chubukov, DL Maslov, FHL Essler


Effective Forces Induced by a Fluctuating Interface: Exact Results

Physical Review Letters 98 (2007) 170602 4pp-

DB Abraham, A.M. Maciolek, F.H.L. Essler


Dynamical response functions in the quantum Ising chain with a boundary

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2007) ARTN P11004

D Schuricht, FHL Essler


Luttinger liquid coupled to quantum spins: Flow equation approach to the Kondo necklace model

PHYSICAL REVIEW B 76 (2007) ARTN 115108

FHL Essler, T Kuzmenko, IA Zaliznyak


Dynamical spin response of doped two-leg Hubbard-like ladders

PHYSICAL REVIEW B 75 (2007) ARTN 144403

FHL Essler, RM Konik


Exact spectral gaps of the asymmetric exclusion process with open boundaries

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2006) ARTN P12011

J de Gier, FHL Essler


Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 39 (2006) 4845-4857

S Ejima, FHL Essler, F Gebhard


Quantum phase transition in the one-dimensional extended Peierls-Hubbard model

PHYSICAL REVIEW B 73 (2006) ARTN 085105

H Benthien, FHL Essler, A Grage


Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries

Physical Review Letters 95 (2005) 240601 4pp-

FH Essler, Jan de Gier


Bethe ansatz solution of the asymmetric exclusion process with open boundaries.

Phys Rev Lett 95 (2005) 240601-

J de Gier, FHL Essler

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the spectral gap, which characterizes the approach to stationarity at large times. We observe boundary induced crossovers in and between massive, diffusive, and Kardar-Parisi-Zhang scaling regimes.


The integrable sl(2/1) superspin chain and the spin quantum hall effect

Advances in Solid State Physics 45 (2005) 185-196

H Frahm, FHL Essler, H Saleur

The analysis of network models - either directly or by numerical studies of related quantum spin chains with super group symmetry - allows to gain insights into the delocalization transition of non-interacting two-dimensional electrons with disorder. Critical exponents determined this way are an important step towards the identification of the conformal field theory (CFT) describing the universal physics at the transition. To collect more information on the universal properties integrable versions of the corresponding superspin chains have been proposed. A simplified version avoiding some of the technical problems of the original problem is the sl(2|l) superspin chain related to the so-called spin quantum Hall transition. Analyzing the ground state and some low-lying excitations of this integrable chain we determine the central charge of the underlying CFT and obtain evidence for an infinite degeneracy of the finite size gaps that are possibly related to a continuous spectrum of the CFT. Finally, we compare our findings for the integrable chain with known properties of the (non-integrable) network model for the spin QHE. © Springer-Verlag Berlin Heidelberg 2005.


Spin dynamics of the quasi-two-dimensional spin-1/2 quantum magnet Cs2CuCl4

PHYSICAL REVIEW B 72 (2005) ARTN 134429

MY Veillette, AJA James, FHL Essler


Theory of hybrid state in a metal with a small Fermi surface and strong collective excitations

PHYSICAL REVIEW B 71 (2005) ARTN 195116

FHL Essler, AM Tsvelik


Continuum limit of the integrable sl(2/1) 3-(3)over-bar superspin chain

NUCLEAR PHYSICS B 712 (2005) 513-572

FHL Essler, H Frahm, H Saleur

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