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.

scholarly journals A non-Abelian parton state for the $ν=2+3/8$ fractional quantum Hall effect

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Ajit Coimbatore Balram
Keyword(s):  
Wave Function ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Ground State ◽  
Topological Structure ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of 5/25/2. We consider the FQHE at another even denominator fraction, namely \nu=2+3/8ν=2+3/8, where a well-developed and quantized Hall plateau has been observed in experiments. We examine the non-Abelian state described by the ``\bar{3}\bar{2}^{2}1^{4}3‾2‾214" parton wave function and numerically demonstrate it to be a feasible candidate for the ground state at \nu=2+3/8ν=2+3/8. We make predictions for experimentally measurable properties of the \bar{3}\bar{2}^{2}1^{4}3‾2‾214 state that can reveal its underlying topological structure.

scholarly journals A CONFORMAL FIELD THEORY DESCRIPTION OF THE PAIRED AND PARAFERMIONIC STATES IN THE QUANTUM HALL EFFECT

2000 ◽  
Vol 15 (27) ◽  
pp. 1679-1688 ◽  
Author(s):  
GERARDO CRISTOFANO ◽  
GIUSEPPE MAIELLA ◽  
VINCENZO MAROTTA
Keyword(s):  
Field Theory ◽  
Wave Function ◽  
Conformal Field Theory ◽  
Quantum Hall Effect ◽  
Ground State ◽  
Quantum Hall ◽  
Scalar Fields ◽  
Neutral Component ◽  
Conformal Field ◽  
Twisted Boundary Conditions

We extend the construction of the effective conformal field theory for the Jain hierarchical fillings proposed in Ref. 1 to the description of a quantum Hall fluid at nonstandard fillings [Formula: see text]. The chiral primary fields are found by using a procedure which induces twisted boundary conditions on the m scalar fields; they appear as composite operators of a charged and neutral component. The neutral modes describe parafermions and contribute to the ground state wave function with a generalized Pfaffian term. Correlators of Ne electrons in the presence of quasi-hole excitations are explicitly given for m=2.

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.

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.

scholarly journals The quantum Hall effect: spin-charge locking

2014 ◽  
Vol 2 (1-2) ◽  
Author(s):  
Keshav N. Shrivastava ◽  
Ithnin Abdul Jalil ◽  
Norhasliza Yusof ◽  
Hasan Abu Kassim
Keyword(s):  
Wave Function ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Charge Density Waves ◽  
Two Dimensions ◽  
Fractional Charge ◽  
Flux Quantization ◽  
Dimensional Electron Gas ◽  
Spin Charge Coupling

In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to correct measurement of h/e2. Therefore the quantized Hall effect was further studied at high magnetic fields where fractional quantization was found. The fractional charge can arise from the “incompressibility” in the flux quantization. Laughlin wrote a wave function, the excitations of which are fractionally charged quasiparticles. This wave function comes in competition with charge density waves but for a few fractions it does give the ground state. If “incompressibility” is not considered and it is allowed to be compressible, the fractional charge can arise from the angular momentum which appears in the Bohr magneton in the form of g values. Usually the positive spin is considered but we consider both the positive as well as the negative values so that there is a spin-charge coupling. The values thus calculated for the fractional charge agree with the experimental data on the quantum Hall effect. We have followed this subject for a long time and hence have reviewed the subject. There are several interesting concepts which we learn from this subject. The concept of the Hall effect is quite clear particularly when combined with the flux quantization. We learn about the Landau levels and hence the boson character of electrons in two dimensions. We learn that charge becomes a vector quantity and there is spincharge coupling.

scholarly journals Matrix product wave function of the ground state and elementary excitations in the spin- 12 chain

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Jintae Kim ◽  
Minsoo Kim ◽  
Pramod Padmanabhan ◽  
Jung Hoon Han ◽  
Hyun-Yong Lee
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Matrix Product ◽  
Elementary Excitations

scholarly journals Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments

2006 ◽  
Vol 74 (15) ◽  
Author(s):  
Eun-Ah Kim ◽  
Michael J. Lawler ◽  
Smitha Vishveshwara ◽  
Eduardo Fradkin
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Charge ◽  
Fractional Quantum Hall
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