Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State (2009)
Rezayi, Edward H., Simon, Steven H.
We perform numerical studies to determine if the fractional quantum Hall state observed at filling nu=5/2 is the Moore-Read wavefunction or its particle hole conjugate, the so-called AntiPfaffian....
Skyrmions in the Moore-Read state at nu=5/2 (2009)
Wojs, Arkadiusz, Moller, Gunnar, Simon, Steven H., Cooper, Nigel R.
We study charged excitations of the non-abelian Moore-Read liquid at filling factor nu=5/2, allowing for spin depolarization. Using a combination of numerical studies, and taking account of non-zero...
S3 Quantum Hall Wavefunctions (2009)
Simon, Steven H., Rezayi, E. H., Regnault, N.
We construct a family of quantum Hall Hamiltonians whose ground states, at least for small system sizes, give correlators of the S3 conformal field theories. The ground states are considered as trial...
Rosenow, Bernd, Halperin, Bertrand I., Simon, Steven H., Stern, Ady
It has been predicted that the phase sensitive part of the current through a non-abelian $\nu = 5/2$ quantum Hall Fabry-Perot interferometer will depend on the number of localized charged $e/4$...
Majorana fermions of a two-dimensional Px+iPy superconductor (2009)
Kraus, Yaacov E., Auerbach, Assa, Fertig, H. A., Simon, Steven H.
To investigate Majorana fermionic excitations of a $p_x+ip_y$ superconductor, the Bogoliubov-de-Gennes equation is solved on a sphere for two cases: (i) a vortex-antivortex pair at opposite poles and...
Bernevig, B. Andrei, Gurarie, Victor, Simon, Steven H.
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...
Trial Wavefunctions for \nu = 1/2 + 1/2 Quantum Hall Bilayers (2008)
Moller, Gunnar, Simon, Steven H, Rezayi, Edward H
Quantum Hall bilayer systems at filling fractions near \nu = 1/2 + 1/2 undergo a transition from a compressible phase with strong intralayer correlation to an incompressible phase with strong...
Kraus, Yaacov E., Auerbach, Assa, Fertig, H. A., Simon, Steven H.
Directly observing a zero energy Majorana state in the vortex core of a chiral superconductor by tunneling spectroscopy requires energy resolution better than the spacing between core states...
Correlators of N=1 Superconformal Currents (2008)
We give an explicit expression for the M-point correlator of the superconformal current in two dimensional N=1 superconformal field theories.
Itinerant Ferromagnetism in an Atom Trap (2008)
Berdnikov, Ilya, Coleman, P., Simon, Steven H.
We propose an experiment to explore the magnetic phase transitions in interacting fermionic Hubbard systems, and establish signatures of ferromagnetic correlations in the observed ground states. We...
Paired composite fermion phase of quantum Hall bilayers at \nu = 1/2 + 1/2 (2008)
Moller, Gunnar, Simon, Steven H., Rezayi, Edward H.
We provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling $\nu=1/2 + 1/2$ for intermediate spacing between the layers. We identify the phase as $p_x + i...
Theory of Activated Transport in Bilayer Quantum Hall Systems (2008)
Roostaei, Bahman, Mullen, Kieran J., Fertig, Herbert A., Simon, Steven H.
We analyze the transport properties of bilayer quantum Hall systems at total filling factor $\nu=1$ in drag geometries as a function of interlayer bias, in the limit where the disorder is...
Effect of Landau Level Mixing on Braiding Statistics (2007)
We examine the effect of Landau level mixing on the braiding statistics of quasiparticles of abelian and nonabelian quantum Hall states. While path dependent geometric phases can perturb the abelian...
Paired composite fermion wavefunctions (2007)
Moller, Gunnar, Simon, Steven H.
We construct a family of BCS paired composite fermion wavefunctions that generalize, but remain in the same topological phase as, the Moore-Read Pfaffian state for the half-filled Landau level. It is...
Non-Abelian Anyons and Topological Quantum Computation (2007)
Nayak, Chetan, Simon, Steven H., Stern, Ady, Freedman, Michael, Sarma, Sankar Das
Topological quantum computation has recently emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological...
Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime (2007)
Simon, Steven H., Rezayi, E. H., Cooper, Nigel R.
In fractional quantum Hall physics, the Hilbert space is projected to a single Landau level and the entire Hamiltonian consists of just the projected inter-electron interaction. Haldane's...
A nu=2/5 Paired Wavefunction (2006)
Simon, Steven H., Rezayi, E. H., Cooper, N. R., Berdnikov, I.
We construct a wavefunction, generalizing the well known Moore-Read Pfaffian, that describes spinless electrons at filling fraction nu=2/5 (or bosons at filling fraction nu=2/3) as the ground state...
Generalized Quantum Hall Projection Hamiltonians (2006)
Simon, Steven H., Rezayi, E. H., Cooper, N. R.
Certain well known quantum Hall states -- including the Laughlin states, the Moore-Read Pfaffian, and the Read-Rezayi Parafermion states -- can be defined as the unique lowest degree symmetric...
Switching noise as a probe of statistics in the fractional quantum Hall effect (2006)
Grosfeld, Eytan, Simon, Steven H., Stern, Ady
We propose an experiment to probe the unconventional quantum statistics of quasi-particles in fractional quantum Hall states by measurement of current noise. The geometry we consider is that of a...
Polarized MIMO Channels in 3D: Models, Measurements and Mutual Information (2006)
Mansoor Shafi, Min Zhang, Aris L. Moustakas, Peter J. Smith, Andreas F. Molisch, Fredrik Tufvesson, ...
G systems are expected to support data rates of the order of 100 Mbps in the outdoor environment and 1 Gbps in the indoor/stationary environment. In order to support such large payloads, the radio...
Moustakas, Aris L., Simon, Steven H., Marzetta, Thomas L.
Differential Unitary Space-Time Modulation (DUSTM) and its earlier nondifferential counterpart, USTM, permit high-throughput MIMO communication entirely without the possession of channel state...
Crossover from Conserving to Lossy Transport in Circular Random Matrix Ensembles (2005)
Simon, Steven H., Moustakas, Aris L.
In a quantum dot with three leads the transmission matrix t_{12} between two of these leads is a truncation of a unitary scattering matrix S, which we treat as random. As the number of channels in...
On the Outage Capacity of Correlated Multiple-Path MIMO Channels (2005)
Moustakas, Aris L., Simon, Steven H.
The use of multi-antenna arrays in both transmission and reception has been shown to dramatically increase the throughput of wireless communication systems. As a result there has been considerable...
Simon, Steven H., Moustakas, Aris L., Marinelli, Luca
We apply a promising new method from the field of representations of Lie groups to calculate integrals over unitary groups, which are important for multi-antenna communications. To demonstrate the...
Nonlinear dynamics of a dense two-dimensional dipolar exciton gas (2005)
Rapaport, Ronen, Chen, Gang, Simon, Steven H.
We use a simple model to describe the nonlinear dynamics of a dense two dimensional dipolar exciton gas. The model predicts an initial fast expansion due to dipole-dipole pressure, followed by a much...
Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study (2005)
Moller, Gunnar, Simon, Steven H.
The method of Jain and Kamilla [PRB {\\bf 55}, R4895 (1997)] allows numerical generation of composite fermion trial wavefunctions for large numbers of electrons in high magnetic fields at filling...
Braid Topologies for Quantum Computation (2005)
Bonesteel, N. E., Hormozi, Layla, Zikos, Georgios, Simon, Steven H.
In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particle-like excitations...
This tutorial paper reviews some of the physics of quantum Hall bilayers with a focus on the case where there is low or zero tunnelling between the two layers. We describe the interlayer coherent...
Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study (2005)
Moller, Gunnar, Simon, Steven H.
The method of Jain and Kamilla [PRB {\bf 55}, R4895 (1997)] allows numerical generation of composite fermion trial wavefunctions for large numbers of electrons in high magnetic fields at filling...
Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study (2005)
Moller, Gunnar, Simon, Steven H.
The method of Jain and Kamilla [PRB {\\bf 55}, R4895 (1997)] allows numerical generation of composite fermion trial wavefunctions for large numbers of electrons in high magnetic fields at filling...
Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study (2005)
Moller, Gunnar, Simon, Steven H.
The method of Jain and Kamilla [PRB {\\bf 55}, R4895 (1997)] allows numerical generation of composite fermion trial wavefunctions for large numbers of electrons in high magnetic fields at filling...
On the Outage Capacity of Correlated Multiple-Path MIMO Channels (2005)
Aris L. Moustakas, Steven H. Simon
The use of multi-antenna arrays in both transmission and reception has been shown to dramatically increase the throughput of wireless communication systems. As a result there has been considerable...
Dynamics of in-plane charge separation front in 2D electron-hole gas (2004)
Chen, Gang, Rapaport, Ronen, Simon, Steven H., Pfeiffer, Loren, West, Ken
We show both experimentally and theoretically that the recently observed optically induced in-plane charge separation in quantum well (QW) structures and the exciton ring emission pattern at this...
Eigenvalue Density of Correlated Complex Random Wishart Matrices (2004)
Simon, Steven H., Moustakas, Aris L.
Using a character expansion method, we calculate exactly the eigenvalue density of random matrices of the form M^\dagger M where M is a complex matrix drawn from a normalized distribution P(M) ~...
Collective Modes of nu =2 Quantum Hall Bilayers in Tilted Magnetic Field (2004)
Lopatnikova, Anna, Simon, Steven H., Demler, Eugene
We use time-dependent Hartree Fock approximation to study the collective mode spectra of nu=2 quantum Hall bilayers in tilted magnetic field allowing for charge imbalance as well as tunneling between...
Global Phase Diagram of nu = 2 Quantum Hall Bilayers in Tilted Magnetic Field (2004)
Lopatnikova, Anna, Simon, Steven H., Demler, Eugene
We consider a bilayer quantum Hall system at total filling fraction nu=2 in tilted magnetic field allowing for charge imbalance as well as tunneling between the two layers. Using an "unrestricted...
MIMO correlated channels (2004)
Steven H. Simon, Aris L. Moustakas, Luca Marinelli
other exact results for
Aris L. Moustakas, Steven H. Simon, Thomas L. Marzetta, A. L. Moustakas (email, S. H. Simon (email, T. L. Marzetta (email
Differential Unitary Space-Time Modulation (DUSTM) and its earlier nondifferential counterpart, USTM, permit high-throughput MIMO communication entirely without the possession of channel state...
Conductivity of Paired Composite Fermions (2003)
Foster, Kerwin C., Bonesteel, N. E., Simon, Steven H.
We develop a phenomenological description of the nu=5/2 quantum Hall state in which the Halperin-Lee-Read theory of the half-filled Landau level is combined with a p-wave pairing interaction between...
Coexistence of Composite-Bosons and Composite-Fermions in nu=1/2 + 1/2 Quantum Hall Bilayers (2003)
Simon, Steven H., Rezayi, E. H., Milovanovic, Milica
In bilayer quantum Hall systems at filling fractions near nu=1/2+1/2, as the spacing d between the layers is continuously decreased, intra-layer correlations must be replaced by inter-layer...
Monte Carlo Evaluation of Non-Abelian Statistics (2002)
Tserkovnyak, Yaroslav, Simon, Steven H.
We develop a general framework to (numerically) study adiabatic braiding of quasiholes in fractional quantum Hall systems. Specifically, we investigate the Moore-Read (MR) state at $\nu=1/2$ filling...
Joule heating of dilute 2D holes in a GaAs quantum well (2002)
Gao, Xuan P. A., Mills, Allen P., Jr., Ramirez, Arthur P., Simon, Steven H., Pfeiffer, Loren N., ...
We present measurements of the Joule heating of a 2D hole gas (2DHG) formed in a 30nm GaAs quantum well. The hole density is in the range (4.6-18.9)*10^9cm^-2 and exhibits an apparent...
Striped States in Quantum Hall Effect: Deriving a Low Energy Theory from Hartree-Fock (2001)
Lopatnikova, Anna, Simon, Steven H., Halperin, Bertrand I., Wen, Xiao-Gang
There is growing experimental and theoretical evidence that very clean two dimensional electron systems form unidirectional charge density waves (UCDW) or ``striped'' states at low temperatures and...
Oscillating sign of drag in high Landau levels (2001)
Von Oppen, Felix, Simon, Steven H., Stern, Ady
Motivated by experiments, we study the sign of the Coulomb drag voltage in a double layer system in a strong magnetic field. We show that the commonly used Fermi Golden Rule approach implicitly...
Communication through a Diffusive Medium: Coherence and Capacity (2000)
Moustakas, Aris L., Baranger, Harold U., Balents, Leon, Sengupta, Anirvan M., Simon, Steven H.
Coherent wave propagation in disordered media gives rise to many fascinating phenomena as diverse as universal conductance fluctuations in mesoscopic metals and speckle patterns in light scattering....
Proposal For A Quantum Hall Pump (1999)
A device is proposed that is similar in spirit to the electron turnstile except that it operates within a quantum Hall fluid. In the integer quantum Hall regime, this device pumps an integer number...
Fundamental Limit on ``Interaction Free'' Measurements (1999)
Simon, Steven H., Platzman, P. M.
In ``interaction free'' measurements, one typically wants to detect the presence of an object without touching it with even a single photon. One often imagines a bomb whose trigger is an extremely...
The half-filled Landau level - composite fermions and dipoles (1999)
Von Oppen, Felix, Halperin, Bertrand I., Simon, Steven H., Stern, Ady
The composite-fermion approach as formulated in the fermion Chern-Simons theory has been very successful in describing the physics of the lowest Landau level near Landau level filling factor 1/2....
In a recent letter M. Lilly et al [PRL 82, 394 (1999)] have shown that a highly anisotropic state can arise in certain two dimensional electron systems. In the large square samples studied,...
The Chern-Simons Fermi Liquid Description of Fractional Quantum Hall States (1998)
The composite fermion picture has had a remarkable number of recent successes both in the description of the fractional quantized Hall states and in the description on the even denominator Fermi...
Hall effect in the perovskite manganites (1998)
Majumdar, Pinaki, Simon, Steven H., Sengupta, Anirvan M.
We compute the zero temperature phase diagram and the Hall response of the doped perovskite manganites within the model of double exchange and Jahn-Teller coupling, employing the large dimensionality...
Derivative relation for thermopower in the quantum Hall regime (1997)
Simon, Steven H., Cooper, Nigel R.
Recently, Tieke et al (to be published in PRL) have observed the relation S_{yx} = alpha B dS_{xx}/dB for the components of the thermopower tensor in the quantum Hall regime, where alpha is a...
Reply to Comment on ``Scaling of the quasiparticle spectrum for d-wave superconductors'' (1997)
Simon, Steven H., Lee, Patrick A.
Volovik and Kopnin make two seperate points regarding our recent paper (S. H. Simon and P. A. Lee, PRL 78, 1548 (1997); cond-mat/9611133). First they note that the scaling regime we address in our...
Paper withdrawn due to errors. Revised version may or may not appear in the future.
Scaling of the quasiparticle spectrum for d-wave superconductors (1996)
Simon, Steven H., Lee, Patrick A.
In finite magnetic field H, the excitation spectrum of the low energy quasiparticles in a 2 dimensional d-wave superconductor exhibits a scaling with respect to $H^{1/2}$. This property can be used...
Towards a Fermi Liquid Theory of the $\nu$=1/2 State : Magnetized Composite Fermions (1996)
The Fermionic Chern-Simons approach has had remarkable success in the description of quantum Hall states at even denominator filling fractions $\nu=\frac{1}{2m}$. In this paper we review a number of...
Coupling of Surface Acoustic Waves to a Two Dimensional Electron Gas (1996)
When a surface acoustic wave (SAW) is coupled piezoelectrically to a two dimensional electron gas (2DEG), a velocity shift and attenuation of the SAW are induced that reflect the conductivity of the...
Composite Fermions with Orbital Magnetization (1996)
Simon, Steven H., Stern, Ady, Halperin, Bertrand I.
For quantum Hall systems, in the limit of large magnetic field (or equivalently small electron band mass $m_b$), the static response of electrons to a spatially varying magnetic field is largely...
Problems With the Vortex-Boson Mapping in 1+1 Dimensions (1995)
Balents, Leon, Simon, Steven H.
Using the well known boson mapping, we relate the transverse magnetic susceptibility of a system of flux vortices in 1+1 dimensions to an appropriately defined conductivity of a one-dimensional boson...
Commensurability Effects in Large Josephson Junctions (1994)
Balents, Leon, Simon, Steven H.
Two types of commensurability effects are possible in a large Josephson junction patterned with columnar defects. The first occurs for a periodic array of pins when the mean fluxon spacing (tuned by...
Explanation for the Resistivity Law in Quantum Hall System (1994)
Simon, Steven H., Halperin, Bertrand I.
We consider a 2D electron system in a strong magnetic field, where the local Hall resistivity $\rho_{xy}(\vec r)$ is a function of position and $\rho_{xx}(\vec r)$ is small compared to $\rho_{xy}$....
Simon, Steven H., Halperin, Bertrand I.
Using a well known singular gauge transformation, certain fractional quantized Hall states can be modeled as integer quantized Hall states of transformed fermions interacting with a Chern-Simons...
He, Song, Simon, Steven H., Halperin, Bertrand I.
We study the excitation spectra and the dynamical structure factor of quantum Hall states in a finite size system through exact diagonalization. Comparison is made between the numerical results so...
Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States (1993)
Simon, Steven H., Halperin, Bertrand I.
A fractional quantized Hall state with filling fraction $\nu = p/(2mp+1)$ can be modeled as an integer quantized Hall state of transformed fermions, interacting with a Chern-Simons field. The...