Condensed-Matter Physics seminars: Winter 2007

Wednesdays in the Physics Reading Room

Date & timeSpeaker & affiliation Talk title & abstract
Jan 3 4:00pm Dr. Vivek Aji (UCR)
Local Criticality, Time Reversal Violation and The Cuprate Phase Diagram
Abstract: The physics of the cuprates has fascinated us for the past twenty years primarily because the behavior in the majority of the phase diagram is unlike any we have encountered before. An organizing principle proposed is that there exists a quantum critical point near optimal doping and that the pseudogap is a result of a symmetry broken state. Furthermore the quantum critical point should give rise to a fluctuation spectrum that is local in space and power law in time to account for the anomalies observed. In the first part of my talk I will show that the dissipation driven transition of a Quantum 2DXY model gives rise to such a spectrum. In the second part I will introduce the symmetry broken states and the neutron scattering results that have observed their principle signature. The long wavelength theory suggested by the symmetries of the time reversal violating states is indeed the dissipative quantum 2DXY model.
Jan 5 Friday 4:00pm
Note the unusual day
Alberto Cortijo (ICMM-Madrid)
Graphene: High energy physics in a solid state system
Abstract: Graphene has become one of the most interesting systems in condensed matter physics since experimental techniques recently allowed the isolation of single graphene sheets. Such interest is twofold: Graphene based devices exhibit promising applicability for the semiconductor industry. Secondly, from a theoretician's point of view, graphene is an electronic system that offers the possibility to understand new and intriguing experimental results using ideas from high energy physics. In this talk I will review the basic properties of graphene in order to show how a basic tight binding model yields electronic behavior similar to that of relativistic particles, and conversely, how ideas from the field of high energy physics can help us to predict the properties of this system.
Jan 10 4:00pm no talk
Abstract:
Jan 17 4:00pm no talk
Abstract:
Jan 24 4:00pm Alexander Finkel'stein (Weizmann)
Abstract: We address a recent experiment in which a strong decrease of the resistance of a superconducting film has been observed when a remote unbiased gate was placed above the film. We show how the response of electrons inside the metallic gate to a change of vortex positions can reduce drastically the tunneling rate of the vortices. The magnetic flux of a vortex penetrating inside the gate scatters the electrons in a way similar to the Aharonov-Bohm scattering. The response of the electrons to a sudden change of vortex positions is related to the Orthogonality Catastrophe that manifests itself through the vanishing overlap of the two wave functions describing the macroscopic electron system before and after the change in the scattering potential. We interpret the experimentally observed decrease of the resistance in the gated film as a sort of a "Metal-Insulator" transition in a system of tunneling vortices induced by the gate.
Jan 31 4:00pm Arkady Shehter (UCR)
Branch-cut singularities in the thermodynamics of Fermi liquid systems
Abstract: The recently measured spin susceptibility of the two dimensional electron gas exhibits a strong dependence on temperature, which is incompatible with the standard Fermi liquid phenomenology. Here we show that the observed temperature behavior is inherent to ballistic two dimensional electrons.
Besides the single-particle and collective excitations, the thermodynamics of Fermi liquid systems includes effects of the branch-cut singularities originating from the edges of the continuum of pairs of quasiparticles. As a result of the rescattering induced by interactions, the branch-cut singularities generate non-analyticities in the thermodynamic potential which reveal themselves in anomalous temperature dependences.
Feb 7 4:00pm Lijun Zhu (UCR)
Coherence in the Two Kondo Impurity Problem: From Quantum Dots to Heavy Fermions
Abstract: We show through a perturbative and an exact calculation using Wilson's renormalization methods that in the problem of two interacting Kondo impurities, on-site potential scattering generates a quantum-tunneling between the two impurities through a marginally relevant operator. The magnitude of this tunneling V12 depends on the spin-correlation between the two impurities. For exchange interactions between the moments comparable to the Kondo energy TK, V12 is typically much larger than TK. This implies that the heavy-fermion mass in this interesting range is determined by V12 rather than TK. The importance of these results for experiments in coupled Kondo dots is also pointed out.
Feb 14 4:00pm Marcel Franz (UBC)
Anyons in a weakly interacting system
Abstract: In quantum theory, indistinguishable particles in three-dimensional space behave in only two distinct ways. Upon interchange, their wavefunction maps either to itself if they are bosons, or to minus itself if they are fermions. In two dimensions a more exotic possibility arises: upon exchange of two particles called ``anyons'' the wave function acquires a generic complex phase. In this talk I will describe theoretical proposal for a system whose excitations are anyons with the exchange phase π/4 and charge -e/2, but, remarkably, can be built by filling a set of single-particle states of essentially noninteracting electrons. The system consists of an artificially structured type-II superconducting film adjacent to a 2D electron gas in the integer quantum Hall regime with unit filling fraction. The proposal rests on the observation that a vacancy in an otherwise periodic vortex lattice in the superconductor creates a bound state in the 2DEG with total charge -e/2. A composite of this fractionally charged hole and the missing flux due to vacancy behaves as an anyon. The proposed setup allows for manipulation of these anyons and could prove useful in various schemes for the fault-tolerant topological quantum computation.
Feb 16 Friday 4:00pm
Note the unusual day
Carsten Honerkamp (Wuerzburg University)
Fermionic renomalization group flows into phases with broken symmetries
Abstract: We describe how functional renormalization group flows for interacting fermions can be continued into phases with broken symmetries. A symmetry-breaking term in the initial condition for the self-energy prevents a true divergence of the interactions at the critical scale. At the same scale, the anomalous self-energy grows rapidly such that the flow can be followed down to zero scale and all modes can be integrated out. Within simple mean-field models, we demonstrate two versions of this idea: one where the initial symmetry breaking is sent to zero, and another where it is compensated by a counter-term. The latter scheme is capable of detecting symmetry-broken phases separated from the symmetric state by an energy barrier. We discuss generalizations to more realistic models.
Refs.: M. Salmhofer et al., Prog. Theor. Phys. 112 943 (2004); R. Gersch et al., Euro. Phys. J B 48 349 (2005); R. Gersch et al., cond-mat/0609520.
Feb 21 4:00pm Assa Auerbach (Technion)
Emergence of Spin-Half Fermion Vortices and The Vortex Metal
Abstract: We present two theoretical findings concerning quantum properties of vortices of two dimensional lattice bosons, at half filling. First, we provide a rigorous proof of doublet degeneracies for any odd vorticity on finite tori. The result is made physical by connecting the doublets to a -local- spin half (v-spin) carried by each vortex. The v-spins have experimental consequences in the normal superfluid (vortex lattice) phase. Second, building on the first result, we discover numerically that two vortex wavefunctions obey Fermi-Dirac statistics: a demonstration of "statistical transmutation" in a generic bosonic model. The multi-vortex system undergoes quantum melting at low vortex density (~10-3/site). The resulting Vortex Metal features a "Fermi temperature" and unusual transport behavior.

Experiments in cold atoms on optical lattices, low capacitance Josephspon arrays and low superfluid density superconductor films in a magnetic field, could test our predictions.

Feb 28 4:00pm Arik Yochelis (UCLA)
Intertwined by symmetry: spatially localized oscillations
Abstract: We have studied the origin and the properties of a new type of spatially localized oscillations we refer to as reciprocal oscillons. These oscillations take the form of holes in an oscillating background, and have been observed in both vibrating granular media and optically forced chemical reactions but their origin has remained unclear. Spatially localized structures have been the source of fascination ever since the discovery of solitons. Like solitons the oscillations we study exhibit properties that are independent of the detailed description of the system. However, in contrast to solitons they are dissipative structures, and (generally) do not propagate. Our study is motivated by experimental observations but utilizes a general theoretical framework. We show that the presence of reciprocal oscillons is intimately related to the existence of interfaces with both monotonic and nonmonotonic profiles. Our results not only agree qualitatively with the experiments but the basic scenario described in our research also suggests their relevance to other media such as periodically driven reaction - diffusion systems.
Mar 7 4:00pm APS March meeting
 
Mar 14 4:00pm TBA
Abstract:
Mar 21 4:00pm Finals week
 

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Leonid Pryadko <my first name at landau dot ucr dot edu>
Last modified: Mon Feb 26 15:10:13 PST 2007