scholarly journals Wigner solids of domain wall skyrmions

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Kaifeng Yang ◽  
Katsumi Nagase ◽  
Yoshiro Hirayama ◽  
Tetsuya D. Mishima ◽  
Michael B. Santos ◽  
...  
Keyword(s):  
Domain Wall ◽  
Ground State ◽  
Particle Physics ◽  
Condensed Matter ◽  
Quantum Hall ◽  
Coulomb Interactions ◽  
Equilibrium Conditions ◽  
Topological Excitations ◽  
Alternative Approach

AbstractDetection and characterization of a different type of topological excitations, namely the domain wall (DW) skyrmion, has received increasing attention because the DW is ubiquitous from condensed matter to particle physics and cosmology. Here we present experimental evidence for the DW skyrmion as the ground state stabilized by long-range Coulomb interactions in a quantum Hall ferromagnet. We develop an alternative approach using nonlocal resistance measurements together with a local NMR probe to measure the effect of low current-induced dynamic nuclear polarization and thus to characterize the DW under equilibrium conditions. The dependence of nuclear spin relaxation in the DW on temperature, filling factor, quasiparticle localization, and effective magnetic fields allows us to interpret this ground state and its possible phase transitions in terms of Wigner solids of the DW skyrmion. These results demonstrate the importance of studying the intrinsic properties of quantum states that has been largely overlooked.

QUANTUM HALL QUARKS OR SHORT DISTANCE PHYSICS OF FRACTIONALLY QUANTIZED HALL FLUIDS

1998 ◽  
Vol 13 (08) ◽  
pp. 1293-1303 ◽  
Author(s):  
MARTIN GREITER
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Short Distance ◽  
Quantum Hall ◽  
Coulomb Interactions ◽  
Present Evidence ◽  
Fractional Charge ◽  
Individual Test ◽  
Local Description ◽  
Test Electron

In order to obtain a local description of the short distance physics of fractionally quantized Hall states for realistic (e.g. Coulomb) interactions, I propose to view the zeros of the ground state wave function, as seen by an individual test electron from far away, as particles. I then present evidence in support of this interpretation, and argue that the electron effectively decomposes into quarklike constituent particles of fractional charge.

LAUGHLIN'S WAVE FUNCTION AND ANGULAR MOMENTUM

2011 ◽  
Vol 25 (10) ◽  
pp. 1301-1357 ◽  
Author(s):  
KESHAV N. SHRIVASTAVA
Keyword(s):  
Wave Function ◽  
Angular Momentum ◽  
First Principles ◽  
Condensed Matter ◽  
Quantum Hall ◽  
Edge States ◽  
Coulomb Interactions ◽  
Bohm Effect ◽  
A Charge ◽  
Aharonov Bohm

In 1983, Laughlin reported a wave function which while using the first-principles kinetic energy and Coulomb interactions fractionalizes the charge of the electron so that a charge such as 1/3 occurs. Since then this wave function has been applied to many problems in condensed matter physics. An effort is made to review the literature dealing with Aharonov–Bohm effect, ground state, confinement, phase transitions, Wigner and Luttinger solids, edge states, Anderson's theory, statistics and anyons, etc. The importance of the angular momentum is pointed out and it is shown that Landau levels play an important role in understanding the fractions at which the plateaus occur in the quantum Hall effect.

W∞-ALGEBRA FOR FERMIONS IN THE LOWEST LANDAU LEVEL

1994 ◽  
Vol 09 (06) ◽  
pp. 549-555 ◽  
Author(s):  
YUN SOO MYUNG
Keyword(s):  
Landau Level ◽  
Ground State ◽  
Condensed Matter ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Fermion Number ◽  
Lowest Landau Level ◽  
Area Preserving

We derive the W∞-algebra directly from the cocycle (translational) transformation of fermions in the lowest Landau level. This happens whenever the translational symmetry is unbroken in the ground state. Under the cocycle transformations, the lowest Landau level condition and fermion number are preserved. In the droplet approximation, the algebra of this system is reduced to the classical w∞-algebra (area-preserving deformations) and is related to condensed matter physics. This describes the edge modes of the fractional quantum Hall effect.

scholarly journals New applications of the renormalization group method in physics: a brief introduction

2011 ◽  
Vol 369 (1946) ◽  
pp. 2602-2611 ◽  
Author(s):  
Y. Meurice ◽  
R. Perry ◽  
S.-W. Tsai
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Dynamical Systems ◽  
Particle Physics ◽  
Recent Progress ◽  
Condensed Matter ◽  
Group Method ◽  
Renormalization Group Method ◽  
Theme Issue ◽  
New Applications

The renormalization group (RG) method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and bifurcations in dynamical systems. The Theme Issue provides articles reviewing recent progress made using the RG method in atomic, condensed matter, nuclear and particle physics. In the following, we introduce these articles in a way that emphasizes common themes and the universal aspects of the method.

Equilibrium measure for a nonlocal dislocation energy with physical confinement

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Maria Giovanna Mora ◽  
Alessandro Scagliotti
Keyword(s):  
Equilibrium Measure ◽  
Symmetric Case ◽  
Nonlocal Interaction ◽  
Interaction Energies ◽  
Coulomb Interactions ◽  
Positive Edge ◽  
Dislocation Energy ◽  
Explicit Measure ◽  
Edge Dislocations

Abstract In this paper, we characterize the equilibrium measure for a family of nonlocal and anisotropic energies I α I_{\alpha} that describe the interaction of particles confined in an elliptic subset of the plane. The case α = 0 \alpha=0 corresponds to purely Coulomb interactions, while the case α = 1 \alpha=1 describes interactions of positive edge dislocations in the plane. The anisotropy into the energy is tuned by the parameter 𝛼 and favors the alignment of particles. We show that the equilibrium measure is completely unaffected by the anisotropy and always coincides with the optimal distribution in the case α = 0 \alpha=0 of purely Coulomb interactions, which is given by an explicit measure supported on the boundary of the elliptic confining domain. Our result does not seem to agree with the mechanical conjecture that positive edge dislocations at equilibrium tend to arrange themselves along “wall-like” structures. Moreover, this is one of the very few examples of explicit characterization of the equilibrium measure for nonlocal interaction energies outside the radially symmetric case.

Consistent characterization of the electronic ground state of Iron (II) Phthalocyanine from valence and core-shell electron spectroscopy

2021 ◽  
Author(s):  
Jonathan Laurent ◽  
John Bozek ◽  
Marc BRIANT ◽  
Pierre Carcabal ◽  
Denis Cubaynes ◽  
...  
Keyword(s):  
Gas Phase ◽  
Ground State ◽  
Electron Spectroscopy ◽  
Organometallic Compound ◽  
Electronic Ground State ◽  
Core Shell ◽  
Shell Electron ◽  
Phthalocyanine Molecule ◽  
Electronic Ground

We studied the Iron (II) Phthalocyanine molecule in the gas-phase. It is a complex transition organometallic compound, for which, the characterization of its electronic ground state is still debated more...

Growth of GaN:Sb MBE-Layers

2001 ◽  
Vol 693 ◽  
Author(s):  
P. Cristea ◽  
D.G. Ebling ◽  
K.W. Benz
Keyword(s):  
Composition Range ◽  
Miscibility Gap ◽  
Side Reactions ◽  
Equilibrium Conditions ◽  
Mbe Growth ◽  
Single Crystalline ◽  
N Source ◽  
Atomic Radii ◽  
Crystalline Growth

AbstractThe single crystalline growth of the GaNxSb1-x system is difficult due to the miscibility gap expected for nearly the whole composition range under thermodynamic equilibrium conditions. The gap is determined by the differences of the atomic radii and of the electro negativities for N and Sb. To overcome this problem crystal growth has to be performed under non-equilibrium conditions with kinetically controlled growth, as it is observed for molecular beam epitaxy (MBE) growth. A single crystalline MBE-growth within the miscibility gap has been demonstrated already in the GaAsxN1-x system exhibiting a similar large miscibility gap. GaN:Sb-layers were grown on Si(111)-substrates by MBE using NH3 as a N-source and solid element sources for Ga and Sb. The parameter window for growth was limited due to side reactions like the decomposition of NH3, the desorption of (at high temperature volatile) compounds like Sb and GaSb or the reaction of Sb with NH3. The composition of the layers was analyzed by XRD and RBS. Antimony bulk concentrations of up to 1.6 % could be obtained in GaN. Optical characterization of the samples was performed by CL-measurements and indicate Sb-induced transitions in the 2.2 eV and 1.42 eV range.

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