Ground state of a two-dimensional quantum Hall system at half filling

1992 ◽  
Vol 46 (19) ◽  
pp. 12384-12387 ◽  
Author(s):  
J. Yang ◽  
W. P. Su
Keyword(s):  
Ground State ◽  
Quantum Hall ◽  
Two Dimensional ◽  
Half Filling ◽  
Quantum Hall System

Superfluidity of the Lattice Anyon Gas

1989 ◽  
Vol 03 (12) ◽  
pp. 1965-1995 ◽  
Author(s):  
Eduardo Fradkin
Keyword(s):  
Quantum Hall ◽  
Goldstone Mode ◽  
Two Dimensional ◽  
Hall Conductance ◽  
Dimensional Lattice ◽  
Quantum Hall Systems ◽  
Wigner Transformation ◽  
Topological Invariance ◽  
Quantum Hall System ◽  
Chern Simons

I consider a gas of “free” anyons with statistical paremeter δ on a two dimensional lattice. Using a recently derived Jordan-Wigner transformation, I map this problem onto a gas of fermions on a lattice coupled to a Chern-Simons gauge theory with coupling [Formula: see text]. I show that if [Formula: see text] and the density [Formula: see text], with r and q integers, the system is a superfluid. If q is even and the system is half filled the state may be either a superfluid or a Quantum Hall System depending on the dynamics. Similar conclusions apply for other values of ρ and δ. The dynamical stability of the Fetter-Hanna-Laughlin goldstone mode is insured by the topological invariance of the quantized Hall conductance of the fermion problem. This leads to the conclusion that anyon gases are generally superfluids or quantum Hall systems.

scholarly journals WIGNER LATTICE ORDER, COLLECTIVE MODE, AND SUPERCONDUCTIVITY IN THE La1.985Sr0.015CuO4+δ SYSTEM

2001 ◽  
Vol 15 (15) ◽  
pp. 497-513 ◽  
Author(s):  
YOUNG HOON KIM ◽  
PEI HERNG HOR
Keyword(s):  
Ground State ◽  
Collective Mode ◽  
Far Infrared ◽  
Goldstone Mode ◽  
Two Dimensional ◽  
Lattice Order ◽  
Charge Dynamics ◽  
Half Filling ◽  
Wigner Lattice ◽  
Co Doped

We have studied far-infrared charge dynamics of Sr- and O- co-doped La 1.985 Sr 0.015 CuO 4+δ with δ = 0.024 (p = 0.063 per Cu) and δ = 0.032(p = 0.07). We found that two-dimensional Wigner lattice order is the ground state of cuprates away from half-filling. We found that the presence of 2D Wigner lattice and the pinned Goldstone mode is essential for cuprate physics and superconductivity. We propose that all high T c physics are based on the existence of these peculiar 2D electron lattices.

scholarly journals Imaging the Holon string of the Hubbard model

2020 ◽  
Vol 117 (42) ◽  
pp. 26141-26144
Author(s):  
Tin-Lun Ho
Keyword(s):  
Hubbard Model ◽  
Atomic Physics ◽  
Ground State ◽  
Condensed Matter ◽  
Quantum Simulation ◽  
Condensed Matter Physics ◽  
Two Dimensional ◽  
Ground State Wavefunction ◽  
Half Filling ◽  
Strong Repulsion

It has been a long-sought goal of quantum simulation to find answers to outstanding questions in condensed-matter physics. A famous example is finding the ground state and the excitations of the two-dimensional (2D) Hubbard model with strong repulsion below half-filling. This system is a doped antiferromagnet and is of great interest because of its possible relation to high-Tcsuperconductors. Theoretically, the fermion excitations of this model are believed to split up into holons and spinons, and a moving holon is believed to leave behind it a string of “wrong” spins that mismatch with the antiferromagnetic background. Here, we show that the properties of the ground-state wavefunction and the holon excitation of the 2D Hubbard model can be revealed in unprecedented detail by using the imaging and the interference technique in atomic physics. They allow one to reveal the Marshall sign of the doped antiferromagnet. The region of wrong Marshall sign indicates the location of the holon string.

Two-dimensional localization in the presence of random flux and the quantum Hall system at even-denominator filling fractions

1993 ◽  
Vol 48 (15) ◽  
pp. 11095-11106 ◽  
Author(s):  
Vadim Kalmeyer ◽  
Dan Wei ◽  
Daniel P. Arovas ◽  
Shoucheng Zhang
Keyword(s):  
Quantum Hall ◽  
Two Dimensional ◽  
Quantum Hall System
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