# LPTMS Publications

Archives :

• ## Anyonic Partition Functions and Windings of Planar Brownian Motion

### Jean Desbois 1, Christine Heinemann 1, Stephane Ouvry 1

#### Physical Review D 51 (1995) 942-945

The computation of the $N$-cycle brownian paths contribution $F_N(\\alpha)$ to the $N$-anyon partition function is adressed. A detailed numerical analysis based on random walk on a lattice indicates that $F_N^{(0)}(\\alpha)= \\prod_{k=1}^{N-1}(1-{N\\over k}\\alpha)$. In the paramount $3$-anyon case, one can show that $F_3(\\alpha)$ is built by linear states belonging to the bosonic, fermionic, and mixed representations of $S_3$.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

Details Citations to the Article (5)
• ## Bound states of 3He in 3He-4He mixture films.

### E. Bashkin 1, 2, N. Pavloff 3, J. Treiner. 3

#### Journal of Low Temperature Physics 99 (1995) 659-681

3He atoms dissolved in superfluid 4He may form dimers (3He)2 in two-dimensional geometries. We study dimer formation in films of dilute 3He-4He mixture. After designing a schematic 3He-3He interaction potential we calculate the dimer binding energy for various substrates. It is shown that 3He impurity states localized near the substrate give rise to the largest magnitudes of the binding energies.

• 1. Department of Physics and Material Sciences Center, Philipps University
• 2. Kapitza Institute for Physical Problems, Kapitza Institute for Physical Problems
• 3. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

Details Citations to the Article (9)
• ## Calogero Models for Distinguishable Particles

### Cyril Furtlehner 1, Stephane Ouvry 1

#### Modern Physics Letters B 9 (1995) 503-509

Motivated by topological bidimensional quantum models for distinguishable particles, and by Haldane\'s definition of mutual statistics for different species of particles, we propose a new class of one-dimensional $1/r_{ij}^2$ Calogero model with coupling constants $g_{ij}$ depending on the labels of the particles. We solve the groundstate problem, and show how to build some classes of excited states.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

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• ## Comment on \’ Thermodynamics of a One- Dimensional Ideal Gas with fractional Exclusion Statistics \’

### Alain Dasnieres De Veigy 1, Stéphane Ouvry 1

#### Physical Review Letters 75 (1995) 352

In a recent letter -Phys. Rev. Lett. 73, 3331 (1995)-, the conclusion was reached that, in the one-dimensional Calogero model, only the second virial coefficient is affected by the statistical parameter $\\alpha$, where $\\alpha$ is related to the coupling constant $\\kappa/ x_{ij}^2$ of the Calogero interaction by $\\kappa=\\alpha(\\alpha+1)$. We argue that it is not so, i.e. all virial coefficients are affected, if the thermodynamic limit is properly taken.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

Details Citations to the Article (16)
• ## Diffractive orbits in quantum billiards

### Nicolas Pavloff 1, Charles Schmit 1

#### Physical Review Letters 75 (1995) 61-64

We study diffractive effects in two dimensional polygonal billiards. We derive an analytical trace formula accounting for the role of non-classical diffractive orbits in the quantum spectrum. As an illustration the method is applied to a triangular billiard.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

Details Citations to the Article (43)
• ## Diffusive transport in a one-dimensional disordered potential involving correlations

### Cecile Monthus 1, 2

#### Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 52 (1995) 2569-2573

This article deals with transport properties of one dimensional Brownian diffusion under the influence of a correlated quenched random force, distributed as a two-level Poisson process. We find in particular that large time scaling laws of the position of the Brownian particle are analogous to the uncorrelated case. We discuss also the probability distribution of the stationary flux going through a sample between two prescribed concentrations, which differs significantly from the uncorrelated case.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud
• 2. L.P.T.P.E, Université Paris VI - Pierre et Marie Curie

Details Citations to the Article (3)

• ## Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics

### A. Comtet 1, J. Desbois 1, C. Monthus 1

#### Annals of Physics 239 (1995) 312-350

A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential $\\phi(x)$ is a random telegraph process is solved exactly. Both the localization length and the density of states are obtained analytically. A detailed study of the low energy behaviour is presented. Analytical and numerical results are presented in the case where the intervals over which $\\phi(x)$ is kept constant are distributed according to a broad distribution. Various applications of this model are considered.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

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• ## Magnetic Moment and Perturbation Theory with Singular Magnetic Fields

### Alain Comtet 1, Stefan Mashkevich 2, Stéphane Ouvry 1

#### Physical Review D 52 (1995) 2594-2597

The spectrum of a charged particle coupled to Aharonov-Bohm/anyon gauge fields displays a nonanalytic behavior in the coupling constant. Within perturbation theory, this gives rise to certain singularities which can be handled by adding a repulsive contact term to the Hamiltonian. We discuss the case of smeared flux tubes with an arbitrary profile and show that the contact term can be interpreted as the coupling of a magnetic moment spinlike degree of freedom to the magnetic field inside the flux tube. We also clarify the ansatz for the redefinition of the wave function.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud
• 2. Institut for Theoretical Physics, Institut for Theoretical Physics

Details Citations to the Article (13)

• ## On a dynamical model of glasses

### Jean-Philippe Bouchaud 1, Alain Comtet 2, 3, Cecile Monthus 2, 3

#### Journal de Physique I 5 (1995) 1521-1526

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the equilibrium distribution ceases to be normalisable, and dynamics becomes non-stationary. We generically find stretching of the correlation function at low temperatures and a Vogel-Fulcher like behaviour of the terminal time.

• 1. Service de physique de l'état condensé (SPEC), CNRS : URA2464 – CEA : DSM/IRAMIS
• 2. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud
• 3. LPTPE, Université Paris VI - Pierre et Marie Curie

Details Citations to the Article (19)
• ## On the thermodynamics of multispecies anyons

### Serguei B. Isakov 1, Stefan Mashkevich 2, Stephane Ouvry 3

#### Nuclear Physics B 448 (1995) 457-469

We address the problem of multispecies anyons, i.e. particles of different species whose wave function is subject to anyonlike conditions. The cluster and virial coefficients are considered. Special attention is paid to the case of anyons in the lowest Landau level of a strong magnetic field, when it is possible (i) to prove microscopically the equation of state, in particular in terms of Aharonov-Bohm charge-flux composite systems, and (ii) to formulate the problem in terms of single-state statistical distributions.

• 2. Institute for Theoretical Physics, Institute for Theoretical Physics
• 3. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

Details Citations to the Article (15)
• ## One-Dimensional Statistical Mechanics for Identical Particles : The Calogero and Anyon Cases

### Alain Dasnieres De Veigy 1, Stephane Ouvry 1

#### Modern Physics Letters A 10 (1995) 1-13

The thermodynamic of particles with intermediate statistics interpolating between Bose and Fermi statistics is adressed in the simple case where there is one quantum number per particle. Such systems are essentially one-dimensional. As an illustration, one considers the anyon model restricted to the lowest Landau level of a strong magnetic field at low temperature, the generalization of this model to several particles species, and the one dimensional Calogero model. One reviews a unified algorithm to compute the statistical mechanics of these systems. It is pointed out that Haldane\'s generalization of the Pauli principle can be deduced from the anyon model in a strong magnetic field at low temperature.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

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• ## Orbital Magnetism in Ensembles of Ballistic Billiards

### Denis Ullmo 1, Klaus Richter 1, Rodolfo A. Jalabert 1

#### Physical Review Letters 74 (1995) 383-386

We calculate the magnetic response of ensembles of small two-dimensional structures at finite temperatures. Using semiclassical methods and numerical calculation we demonstrate that only short classical trajectories are relevant. The magnetic susceptibility is enhanced in regular systems, where these trajectories appear in families. For ensembles of squares we obtain a large paramagnetic susceptibility, in good agreement with recent measurements in the ballistic regime.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

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• ## Random Magnetic Impurities and the Landau Problem

### Jean Desbois 1, Cyril Furtlehner 1, Stephane Ouvry 1

#### Nuclear Physics B 453 (1995) 759-776

The 2-dimensional density of states of an electron is studied for a Poissonian random distribution of point vortices carrying $\\alpha$ flux in unit of the quantum of flux. It is shown that, for any given density of impurities, there is a transition, when $\\alpha\\simeq 0.3-0.4$, from an älmost free\' density of state -with only a depletion of states at the bottom of the spectrum characterized by a Lifschitz tail- to a Landau density of state with sharp Landau level oscillations. Several evidences and arguments for this transition -numerical and analytical- are presented.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

Details Citations to the Article (18)

• ## Structural and dynamical properties of superfluid helium: a density functional approach

### F. Dalfovo 1, A. Lastri 1, L. Pricaupenko 2, S. Stringari 1, J. Treiner 2

#### Physical Review B 52 (1995) 1193-1209

We present a novel density functional for liquid 4He, properly accounting for the static response function and the phonon-roton dispersion in the uniform liquid. The functional is used to study both structural and dynamical properties of superfluid helium in various geometries. The equilibrium properties of the free surface, droplets and films at zero temperature are calculated. Our predictions agree closely to the results of ab initio Monte Carlo calculations, when available. The introduction of a phenomenological velocity dependent interaction, which accounts for backflow effects, is discussed. The spectrum of the elementary excitations of the free surface and films is studied.

• 1. Dipartimento di Fisica, UNIVERSITÀ DEGLI STUDI DI TRENTO
• 2. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud

Details Citations to the Article (140)

• ## Trace formula for an ensemble of bumpy billiards.

### Nicolas Pavloff 1

#### Journal of Physics A 28 (1995) 4123-4132

We study the semiclassical quantization of an ensemble of billiards with a small random shape deformation. We derive a trace formula averaged over shape disorder. The results are illustrated by the study of supershells in rough metal clusters.

• 1. Division de Physique Théorique, IPN, Université Paris XI - Paris Sud