Institutions

About Us

Help

Gaeilge
0
1000
Home
Browse
Advanced Search
Search History
Marked List
Statistics
A
A
A
Author(s)
Institution
Publication types
Funder
Year
Limited By:
Author = Simon, Steven H.;
13 items found
Sort by
Title
Author
Item type
Date
Institution
Peer review status
Language
Order
Ascending
Descending
25
50
100
per page
Bibtex
CSV
EndNote
RefWorks
RIS
XML
Displaying Results 1  13 of 13 on page 1 of 1
Marked
Mark
Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions: Towards Relating Jack Wavefunctions to Walgebras
(2009)
Bernevig, B. Andrei; Gurarie, Victor; Simon, Steven H.
Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions: Towards Relating Jack Wavefunctions to Walgebras
(2009)
Bernevig, B. Andrei; Gurarie, Victor; Simon, Steven H.
Abstract:
We present a general method to obtain the central charge and quasihole scaling dimension directly from groundstate and quasihole wavefunctions. Our method applies to wavefunctions satisfying specific clustering properties. We then use our method to examine the relation between Jack symmetric functions and certain Walgebras. We add substantially to the evidence that the (k, r) admissible Jack functions correspond to correlators of the conformal field theory Wk(k+1, k+r), by calculating the central charge and scaling dimensions of some of the fields in both cases and showing that they match. For the Jacks described by unitary Wmodels, the central charge and quasihole exponents match the ones previously obtained from analyzing the physics of the edge excitations. For the Jacks described by nonunitary Wmodels the central charge and quasihole scaling dimensions obtained from the wavefunctions differ from the ones obtained from the edge physics, which instead agree with the “effective...
http://mural.maynoothuniversity.ie/2693/
Marked
Mark
Composite fermion model for entanglement spectrum of fractional quantum Hall states
(2015)
Davenport, Simon C.; Rodriguez, Ivan D.; Slingerland, Joost; Simon, Steven H.
Composite fermion model for entanglement spectrum of fractional quantum Hall states
(2015)
Davenport, Simon C.; Rodriguez, Ivan D.; Slingerland, Joost; Simon, Steven H.
Abstract:
We show that the entanglement spectrum associated with a certain class of strongly correlated manybody states—the wave functions proposed by Laughlin and Jain to describe the fractional quantum Hall effect—can be very well described in terms of a simple model of noninteracting (or weakly interacting) composite fermions.
http://mural.maynoothuniversity.ie/10534/
Marked
Mark
Condensation of achiral simple currents in topological lattice models: a Hamiltonian study of topological symmetry breaking
(2011)
Burnell, F.J.; Simon, Steven H.; Slingerland, Joost
Condensation of achiral simple currents in topological lattice models: a Hamiltonian study of topological symmetry breaking
(2011)
Burnell, F.J.; Simon, Steven H.; Slingerland, Joost
Abstract:
We describe a family of phase transitions connecting phases of differing nontrivial topological order by explicitly constructing Hamiltonians of the LevinWen[PRB 71, 045110] type which can be tuned between two solvable points, each of which realizes a different topologically ordered phase. We show that the lowenergy degrees of freedom near the phase transition can be mapped onto those of a Potts model, and we discuss the stability of the resulting phase diagram to small perturbations about the model. We further explain how the excitations in the condensed phase are formed from those in the original topological theory, some of which are split into multiple components by condensation, and we discuss the implications of our results for understanding the nature of general achiral topological phases in 2 + 1 dimensions in terms of doubled ChernSimons theories.
http://mural.maynoothuniversity.ie/4791/
Marked
Mark
Correlators of N = 1 Superconformal Currents
(2009)
Simon, Steven H.
Correlators of N = 1 Superconformal Currents
(2009)
Simon, Steven H.
Abstract:
We give an explicit expression for the Mpoint correlator of the superconformal current in two dimensional N = 1 superconformal field theories.
http://mural.maynoothuniversity.ie/2819/
Marked
Mark
Entanglement Spectrum of Composite Fermion States in Real Space
(2013)
Rodriguez, Ivan D.; Davenport, Simon C.; Simon, Steven H.; Slingerland, Joost
Entanglement Spectrum of Composite Fermion States in Real Space
(2013)
Rodriguez, Ivan D.; Davenport, Simon C.; Simon, Steven H.; Slingerland, Joost
Abstract:
We study the entanglement spectra of many particle systems in states which are closely related to products of Slater determinants or products of permanents, or combinations of the two. Such states notably include the Laughlin and Jain composite fermion states which describe most of the observed conductance plateaus of the fractional quantum Hall e�ect. We identify a set of 'EntanglementWave Functions' (EWF), for subsets of the particles, which completely describe the entanglement spectra of such product wave functions, both in real space and in particle space. A subset of the EWF for the Laughlin and Jain states can be recognized as Composite Fermion states. These states provide an exact description of the low angular momentum sectors of the real space entanglement spectrum (RSES) of these trial wave functions and a physical explanation of the branches of excitations observed in the RSES of the Jain states.
http://mural.maynoothuniversity.ie/4792/
Marked
Mark
Evaluation of ranks of real space and particle entanglement spectra for large systems
(2012)
Rodriguez, Ivan D.; Simon, Steven H.; Slingerland, Joost
Evaluation of ranks of real space and particle entanglement spectra for large systems
(2012)
Rodriguez, Ivan D.; Simon, Steven H.; Slingerland, Joost
Abstract:
We devise a way to calculate the dimensions of symmetry sectors appearing in the Particle Entan glement Spectrum (PES) and Real Space Entanglement Spectrum (RSES) of multiparticle systems from their real space wave functions. We first note that these ranks in the entanglement spectra equal the dimensions of spaces of wave functions with a number of particles fixed. This also yields equality of the multiplicities in the PES and the RSES. Our technique allows numerical calculations for much larger systems than were previously feasible. For somewhat smaller systems, we can find approximate entanglement energies as well as multiplicities. We illustrate the method with results on the RSES and PES multiplicities for integer quantum Hall states, Laughlin and Jain composite fermion states and for the MooreRead state at filling v = 5 2 , for system sizes up to 70 particles.
http://mural.maynoothuniversity.ie/4793/
Marked
Mark
Itinerant Ferromagnetism in an Atom Trap
(2009)
Berdnikov, Ilya; Coleman, P.; Simon, Steven H.
Itinerant Ferromagnetism in an Atom Trap
(2009)
Berdnikov, Ilya; Coleman, P.; Simon, Steven H.
Abstract:
We propose an experiment to explore the magnetic phase transitions in interacting fermionic Hubbard systems, and describe how to obtain the ferromagnetic phase diagram of itinerant electron systems from these observations. In addition signatures of ferromagnetic correlations in the observed ground states are found: for large trap radii (trap radius RT > 4, in units of coherence length ε), ground states are topological in nature — a “skyrmion” in 2D, and a “hedgehog” in 3D.
http://mural.maynoothuniversity.ie/2696/
Marked
Mark
JosephsonCoupled MooreRead States
(2014)
Moller, Gunnar; Hormozi, Layla; Slingerland, Joost; Simon, Steven H.
JosephsonCoupled MooreRead States
(2014)
Moller, Gunnar; Hormozi, Layla; Slingerland, Joost; Simon, Steven H.
Abstract:
We study a quantum Hall bilayer system of bosons at total filling factor ν = 1, and study the phase that results from shortranged pair tunneling combined with shortranged interlayer interactions. We introduce two exactly solvable model Hamiltonians which both yield the coupled MooreRead state [Phys. Rev. Lett. 108, 256809 (2012)] as a ground state, when projected onto fixed particle numbers in each layer. One of these Hamiltonians describes a gapped topological phase, while the other is gapless. However, on introduction of a pairtunneling term, the second system becomes gapped and develops the same topological order as the gapped Hamiltonian. Supported by the exact solution of the full zeroenergy quasihole spectrum and a conformal fieldtheory approach, we develop an intuitive picture of this system as two coupled composite fermion superconductors. In this language, pair tunneling provides a Josephson coupling of the superconducting phases of the two layers, and gaps out the Go...
http://mural.maynoothuniversity.ie/6307/
Marked
Mark
Phase transitions in topological lattice models via topological symmetry breaking
(2012)
Burnell, F.J.; Simon, Steven H.; Slingerland, Joost
Phase transitions in topological lattice models via topological symmetry breaking
(2012)
Burnell, F.J.; Simon, Steven H.; Slingerland, Joost
Abstract:
We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar example to elucidate our results concretely, we describe in detail a transition between a fully gapped achiral 2D p wave superconductor ( p +i p for pseudospin up/ p − i p for pseudospin down) to an swave superconductor. We show in particular that this transition is of the 2D transverse field Ising universality class.
http://mural.maynoothuniversity.ie/4796/
Marked
Mark
Topological Quantum Computing with ReadRezayi States
(2009)
Hormozi, L.; Bonesteel, N.E.; Simon, Steven H.
Topological Quantum Computing with ReadRezayi States
(2009)
Hormozi, L.; Bonesteel, N.E.; Simon, Steven H.
Abstract:
ReadRezayi fractional quantum Hall states are among the prime candidates for realizing nonAbelian anyons which, in principle, can be used for topological quantum computation. We present a prescription for efficiently finding braids which can be used to carry out a universal set of quantum gates on encoded qubits based on anyons of the ReadRezayi states with k > 2, k 4. This work extends previous results which only applied to the case k ¼ 3 (Fibonacci) and clarifies why, in that case, gate constructions are simpler than for a generic ReadRezayi state.
http://mural.maynoothuniversity.ie/2735/
Marked
Mark
Trial wave functions for a composite Fermi liquid on a torus
(2018)
Fremling, M.; Moran, N.; Slingerland, Joost; Simon, Steven H.
Trial wave functions for a composite Fermi liquid on a torus
(2018)
Fremling, M.; Moran, N.; Slingerland, Joost; Simon, Steven H.
Abstract:
We study the twodimensional electron gas in a magnetic field at filling fraction ν=12. At this filling the system is in a gapless state which can be interpreted as a Fermi liquid of composite fermions. We construct trial wave functions for the system on a torus, based on this idea, and numerically compare these to exact wave functions for small systems found by exact diagonalization. We find that the trial wave functions give an excellent description of the ground state of the system, as well as its charged excitations, in all momentum sectors. We analyze the dispersion of the composite fermions and the Berry phase associated with dragging a single fermion around the Fermi surface and comment on the implications of our results for the current debate on whether composite fermions are Dirac fermions
http://mural.maynoothuniversity.ie/10531/
Marked
Mark
Trial wave functions for ν=1/2+1/2 quantum Hall bilayers
(2009)
Moller, Gunnar; Simon, Steven H.; Rezayi, Edward H.
Trial wave functions for ν=1/2+1/2 quantum Hall bilayers
(2009)
Moller, Gunnar; Simon, Steven H.; Rezayi, Edward H.
Abstract:
Quantum Hall bilayer systems at filling fractions near ν=1/2+1/2 undergo a transition from a compressible phase with strong intralayer correlation to an incompressible phase with strong interlayer correlations as the layer separation d is reduced below some critical value. Deep in the intralayer phase (large separation) the system can be interpreted as a fluid of composite fermions (CFs), whereas deep in the interlayer phase (small separation) the system can be interpreted as a fluid of composite bosons (CBs). The focus of this paper is to understand the states that occur for intermediate layer separation by using trial variational wave functions. We consider two main classes of wave functions. In the first class, previously introduced in Möller et al. [Phys. Rev. Lett. 101, 176803 (2008)], we consider interlayer BCS pairing of two independent CF liquids. We find that these wave functions are exceedingly good for d≳ℓ0 with ℓ0 as the magnetic length. The second class of wave function...
http://mural.maynoothuniversity.ie/2230/
Marked
Mark
Tunnelling current through fractional quantum Hall interferometers
(2014)
Smits, O.; Slingerland, Joost; Simon, Steven H.
Tunnelling current through fractional quantum Hall interferometers
(2014)
Smits, O.; Slingerland, Joost; Simon, Steven H.
Abstract:
We calculate the tunnelling current through a FabryP�erot interferometer in the fractional quantum Hall regime. Within linear response theory (weak tunnelling but arbitrary sourcedrain voltage) we �nd a general expression for the current due to tunnelling of quasiparticles in terms of Carlson's R function. Our result is valid for fractional quantum Hall states with an edge theory consisting of a charged channel and any number of neutral channels, with possibly di�erent edge velocities and di�erent chiralities. We analyse the case with a single neutral channel in detail, which applies for instance to the edge of the MooreRead state. In addition we consider an asymmetric interferometer with di�erent edge lengths between the point contacts on opposite edges, and we study the behaviour of the current as a function of varying edge length. Recent experiments attempted to measure the AharanovBohm e�ect by changing the area inside the interferometer using a plunger gate. Theoretica...
http://mural.maynoothuniversity.ie/4795/
Displaying Results 1  13 of 13 on page 1 of 1
Bibtex
CSV
EndNote
RefWorks
RIS
XML
Peer Review Status
Peerreviewed (11)
Nonpeerreviewed (2)
Year
2018 (1)
2015 (1)
2014 (2)
2013 (1)
2012 (2)
2011 (1)
2009 (5)
built by Enovation Solutions