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A scattering theory of ultrarelativistic solitons
 Phys.Rev. D88 (2013) 105024, arXiv:1308.0606 [hepth
"... We construct a perturbative framework for understanding the collision of solitons (more precisely, solitary waves) in relativistic scalar field theories. Our perturbative framework is based on the suppression of the spacetime interaction area proportional to 1=ðvÞ, where v is the relative velocity ..."
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We construct a perturbative framework for understanding the collision of solitons (more precisely, solitary waves) in relativistic scalar field theories. Our perturbative framework is based on the suppression of the spacetime interaction area proportional to 1=ðvÞ, where v is the relative velocity of an incoming solitary wave and ¼ 1= ffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 1 À v 2 p ) 1. We calculate the leading order results for collisions of (1 þ 1) dimensional kinks in periodic potentials and provide explicit, closed form expressions for the phase shift and the velocity change after the collisions. We find excellent agreement between our results and detailed numerical simulations. Crucially, our perturbation series is controlled by a kinematic parameter and hence not restricted to small deviations around integrable cases such as the SineGordon model.
Fermion Schwinger’s function for the SU(2)Thirring model
"... We study the Euclidean twopoint function of Fermi fields in the SU(2)Thirring model on the whole distance (energy) scale. We perform perturbative and renormalization group analyses to obtain the shortdistance asymptotics, and numerically evaluate the longdistance behavior by using the form facto ..."
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Cited by 4 (1 self)
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We study the Euclidean twopoint function of Fermi fields in the SU(2)Thirring model on the whole distance (energy) scale. We perform perturbative and renormalization group analyses to obtain the shortdistance asymptotics, and numerically evaluate the longdistance behavior by using the form factor expansion. Our results illustrate the use of bosonization and conformal perturbation theory in the renormalization group analysis of a fermionic theory, and numerically confirm the validity of the form factor expansion in the case of the SU(2)Thirring model. February, 02
Form factors of solitoncreating operators in the sineGordon model
, 2001
"... We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or solitoncreating) operators in the sineGordon model. The normalization constants, which constitute the main content of our proposal, allow one to find exact relations between ..."
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We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or solitoncreating) operators in the sineGordon model. The normalization constants, which constitute the main content of our proposal, allow one to find exact relations between the short and longdistance asymptotics of the correlation functions. We make predictions concerning asymptotics of fermion correlation functions in the massive Thirring model, SU(2)Thirring model with anisotropy, and in the halffilled Hubbard chain. February, 01
Advances in Physics
, 2007
"... Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond ..."
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Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond
resonance
"... Design of a synthetic database for the validation of non–linear registration and segmentation of magnetic ..."
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Design of a synthetic database for the validation of non–linear registration and segmentation of magnetic
MICROSCOPIC COMPUTATIONS IN THE FRACTIONAL QUANTUM HALL EFFECT
, 2014
"... The microscopic picture for fractional quantum Hall effect (FQHE) is difficult to work with analytically for a large number of electrons. Therefore to make predictions and attempt to describe experimental measurements on quantum Hall systems, effective theories are usually employed such as the chira ..."
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The microscopic picture for fractional quantum Hall effect (FQHE) is difficult to work with analytically for a large number of electrons. Therefore to make predictions and attempt to describe experimental measurements on quantum Hall systems, effective theories are usually employed such as the chiral Luttinger liquid system. In this thesis the Monte Carlo method is used for Laughlintype quantum Hall systems to compute microscopic observables. In particular such computations are carried out for the large system size expansion of the free energy. This work was motivated by some disagreement in the literature about the form of the free energy expansion and is still an ongoing project. Tunnelling in the FQHE is an interesting problem since the tunnelling operators are derived from an effective theory which has not yet been checked microscopically. To perform a test for the effective tunnelling Hamiltonian, microscopic calculations were performed numerically for charges tunnelling across the bulk states of a FQH device. To compute these matrix elements, two methods were found to overcome a phase problem encountered in
United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS BOUNDARY CRITICAL PHENOMENA AND A QUASIPARTICLEQUASIHOLE SYMMETRIC METALINSULATOR TRANSI
"... Abstract Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gatevoltage controlled constriction. A finite backscattered current at finite edgebias is explained as arising from the splitting of edge current caused by the diffe ..."
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Abstract Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gatevoltage controlled constriction. A finite backscattered current at finite edgebias is explained as arising from the splitting of edge current caused by the difference in the filling fractions of the bulk (ν 1 ) and constriction (ν 2 ) quantum Hall fluid regions. We develop a hydrodynamic theory for bosonic edge modes inspired by this model. The constriction region splits the incident longwavelength chiral edge densitywave excitations among the transmitting and reflecting edge states encircling it. The competition between two interedge tunneling processes taking place inside the constriction, related by a quasiparticlequasihole (qpqh) symmetry, is accounted for by computing the boundary theories of the system. This competition is found to determine the strong coupling configuration of the system. A separatrix of qpqh symmetric gapless critical states is found to lie between the relevant RG flows to a metallic and an insulating configuration of the constriction system. This constitutes an interesting generalisation of the KaneFisher quantum impurity model. The features of the RG phase diagram are also confirmed by computing various correlators and chiral linear conductances of the system. In this way, our results find excellent agreement with many recent puzzling experimental results for the cases of ν 1 = 1/3, 1. We also discuss and make predictions for the case of a constriction system with ν 2 = 5/2.
Université de Montpellier 53 PUBLICATIONS 516 CITATIONS SEE PROFILE
"... All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
Institute of Microelectronics Technology and High Purity Materials, Russian Academy of Sciences, Chernogolovka 142432 Moscow Region
"... Abstract Recent experimental and theoretical results on intrinsic superconductivity in ropes of singlewall carbon nanotubes are reviewed and compared. We find strong experimental evidence for superconductivity when the distance between the normal electrodes is large enough. This indicates the pres ..."
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Abstract Recent experimental and theoretical results on intrinsic superconductivity in ropes of singlewall carbon nanotubes are reviewed and compared. We find strong experimental evidence for superconductivity when the distance between the normal electrodes is large enough. This indicates the presence of attractive phononmediated interactions in carbon nanotubes, which can even overcome the repulsive Coulomb interactions. The effective lowenergy theory of rope superconductivity explains the experimental results on the temperaturedependent resistance below the transition temperature in terms of quantum phase slips. Quantitative agreement with only one fit parameter can be obtained. Nanotube ropes thus represent superconductors in an extreme 1D limit never explored before. q