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**Harvard**

Anfuso, F. (2006) *Strongly Interacting Electrons in One and Two Dimensions*. Göteborg : Chalmers University of Technology (Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, nr: 2408).

** BibTeX **

@book{

Anfuso2006,

author={Anfuso, Fabrizio},

title={Strongly Interacting Electrons in One and Two Dimensions},

isbn={91-7291-726-1},

abstract={In this thesis I present a theoretical study of three different
strongly correlated systems: Luttinger liquids, spin-1 chains and
the two-dimensional spin-1/2 Heisenberg model.
For every sub-field of our research I summarize the background and
provide further details to the work presented in the appended
papers. Chapter 1 corresponds to paper I, Chapter 2 to paper II,
Chapter 3 and 4 to paper III and IV.
In paper I, we calculate with bosonization techniques the local
density of states of a finite segment of Luttinger liquid. Besides of
being of experimental relevance for Scanning Tunneling Microscopy
experiments on carbon nanotubes and cleaved overgrowth wires, the
wave functions of a "Luttinger liquid in a box" very nicely
visualize the fundamental bosonic nature of the low energy
excitations.
In paper II, we analyze with field theory methods how the presence
of a single-ion anisotropy affects the behavior of a spin-1 chain.
We determine in the framework of the Non Linear Sigma Model how the gaps
of the anisotropic chain depend on an applied staggered magnetic
field. Our theoretical analysis is meant to model compounds like
$\rm R_2BaNiO_5$ that show coexistence of Haldane phase and
long-range order.
In paper III, we compute with quantum Monte Carlo simulations the
local response to a uniform magnetic field around vacancies in the
two-dimensional Heisenberg model. From the full understanding of the
numerical results, we can make quantitative predictions of relevance
for Nuclear Magnetic Resonance and susceptibility experiments. In
particular, we expect, even in the thermodynamic limit, a finite
Curie contribution to the total susceptibility arising from the
impurities.
Finally in paper IV, we consider interaction effects among
impurities. We compute the potential between static vacancies in
several low-dimensional spin-1/2 antiferromagnets comparing
the numerics with exact results from conformal field theory and
linear spin wave theory. The potential is directly related to the
local valence bond order and its magnitude is a loyal measure of the
amount of quantum correlations present into the system.},

publisher={Institutionen för teknisk fysik, Chalmers tekniska högskola,},

place={Göteborg},

year={2006},

series={Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2408},

}

** RefWorks **

RT Dissertation/Thesis

SR Print

ID 16937

A1 Anfuso, Fabrizio

T1 Strongly Interacting Electrons in One and Two Dimensions

YR 2006

SN 91-7291-726-1

AB In this thesis I present a theoretical study of three different
strongly correlated systems: Luttinger liquids, spin-1 chains and
the two-dimensional spin-1/2 Heisenberg model.
For every sub-field of our research I summarize the background and
provide further details to the work presented in the appended
papers. Chapter 1 corresponds to paper I, Chapter 2 to paper II,
Chapter 3 and 4 to paper III and IV.
In paper I, we calculate with bosonization techniques the local
density of states of a finite segment of Luttinger liquid. Besides of
being of experimental relevance for Scanning Tunneling Microscopy
experiments on carbon nanotubes and cleaved overgrowth wires, the
wave functions of a "Luttinger liquid in a box" very nicely
visualize the fundamental bosonic nature of the low energy
excitations.
In paper II, we analyze with field theory methods how the presence
of a single-ion anisotropy affects the behavior of a spin-1 chain.
We determine in the framework of the Non Linear Sigma Model how the gaps
of the anisotropic chain depend on an applied staggered magnetic
field. Our theoretical analysis is meant to model compounds like
$\rm R_2BaNiO_5$ that show coexistence of Haldane phase and
long-range order.
In paper III, we compute with quantum Monte Carlo simulations the
local response to a uniform magnetic field around vacancies in the
two-dimensional Heisenberg model. From the full understanding of the
numerical results, we can make quantitative predictions of relevance
for Nuclear Magnetic Resonance and susceptibility experiments. In
particular, we expect, even in the thermodynamic limit, a finite
Curie contribution to the total susceptibility arising from the
impurities.
Finally in paper IV, we consider interaction effects among
impurities. We compute the potential between static vacancies in
several low-dimensional spin-1/2 antiferromagnets comparing
the numerics with exact results from conformal field theory and
linear spin wave theory. The potential is directly related to the
local valence bond order and its magnitude is a loyal measure of the
amount of quantum correlations present into the system.

PB Institutionen för teknisk fysik, Chalmers tekniska högskola,

T3 Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2408

LA eng

OL 30