Critical correlations for short-range valence-bond wave functions on the square lattice

A. Fabricio Albuquerque; Fabien Alet

doi:10.1103/physrevb.82.180408

Critical correlations for short-range valence-bond wave functions on the square lattice

Physical Review B ◽

10.1103/physrevb.82.180408 ◽

2010 ◽

Vol 82 (18) ◽

Cited By ~ 37

Author(s):

A. Fabricio Albuquerque ◽

Fabien Alet

Keyword(s):

Short Range ◽

Valence Bond ◽

Wave Functions ◽

Square Lattice

Download Full-text

Coexistence of Long-Range and Algebraic Correlations for Short-Range Valence-Bond Wave Functions in Three Dimensions

Physical Review Letters ◽

10.1103/physrevlett.109.147204 ◽

2012 ◽

Vol 109 (14) ◽

Cited By ~ 10

Author(s):

A. Fabricio Albuquerque ◽

Fabien Alet ◽

R. Moessner

Keyword(s):

Long Range ◽

Short Range ◽

Valence Bond ◽

Wave Functions ◽

Three Dimensions

Download Full-text

Some New Variational Resonating-Valence-Bond-Type Wave Functions for the Spin-½ Antiferromagnetic Heisenberg Model on a Square Lattice

Physical Review Letters ◽

10.1103/physrevlett.61.365 ◽

1988 ◽

Vol 61 (3) ◽

pp. 365-368 ◽

Cited By ~ 445

Author(s):

S. Liang ◽

B. Doucot ◽

P. W. Anderson

Keyword(s):

Heisenberg Model ◽

Valence Bond ◽

Wave Functions ◽

Square Lattice ◽

Bond Type ◽

Type Wave ◽

Resonating Valence Bond ◽

Antiferromagnetic Heisenberg Model

Download Full-text

Short-range DFT energy correction to multiconfigurational wave functions for open-shell systems

The Journal of Chemical Physics ◽

10.1063/5.0046404 ◽

2021 ◽

Vol 154 (12) ◽

pp. 124116

Author(s):

José Aarón Rodríguez-Jiménez ◽

Abel Carreras ◽

David Casanova

Keyword(s):

Short Range ◽

Open Shell ◽

Wave Functions ◽

Energy Correction

Download Full-text

From one-electron to correlated wave functions in extended systems: A valence-bond investigation

Physical Review A ◽

10.1103/physreva.39.3274 ◽

1989 ◽

Vol 39 (7) ◽

pp. 3274-3288 ◽

Cited By ~ 16

Author(s):

Marie-Bernadette Lepetit ◽

Brahim Oujia ◽

Jean-Paul Malrieu ◽

Daniel Maynau

Keyword(s):

Valence Bond ◽

Wave Functions ◽

Extended Systems

Download Full-text

Realizing discontinuous wave functions with renormalized short-range potentials

Physics Letters A ◽

10.1016/s0375-9601(98)00188-1 ◽

1998 ◽

Vol 243 (3) ◽

pp. 111-116 ◽

Cited By ~ 138

Author(s):

Taksu Cheon ◽

T Shigehara

Keyword(s):

Short Range ◽

Wave Functions ◽

Discontinuous Wave

Download Full-text

Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems

Physical Review Letters ◽

10.1103/physrevlett.87.097201 ◽

2001 ◽

Vol 87 (9) ◽

Cited By ~ 159

Author(s):

Luca Capriotti ◽

Federico Becca ◽

Alberto Parola ◽

Sandro Sorella

Keyword(s):

Valence Bond ◽

Spin Systems ◽

Wave Functions ◽

Resonating Valence Bond ◽

Frustrated Spin

Download Full-text

Short-range asymptotic behavior of the wave functions of interacting spin-1/2 fermionic atoms with spin-orbit coupling: A model study

Physical Review A ◽

10.1103/physreva.87.032703 ◽

2013 ◽

Vol 87 (3) ◽

Cited By ~ 20

Author(s):

Yuxiao Wu ◽

Zhenhua Yu

Keyword(s):

Asymptotic Behavior ◽

Short Range ◽

Wave Functions ◽

Orbit Coupling ◽

Spin Orbit Coupling ◽

Spin Orbit ◽

Model Study ◽

Fermionic Atoms

Download Full-text

Short-range correlations in nuclear wave functions

Nuclear Physics ◽

10.1016/0029-5582(60)90140-1 ◽

1960 ◽

Vol 17 ◽

pp. 477-485 ◽

Cited By ~ 914

Author(s):

F. Coester ◽

H. Kümmel

Keyword(s):

Short Range ◽

Wave Functions ◽

Short Range Correlations

Download Full-text

Nonorthogonal orbital basedN-body reduced density matrices and their applications to valence bond theory. I. Hamiltonian matrix elements between internally contracted excited valence bond wave functions

The Journal of Chemical Physics ◽

10.1063/1.4801631 ◽

2013 ◽

Vol 138 (16) ◽

pp. 164119 ◽

Cited By ~ 23

Author(s):

Zhenhua Chen ◽

Xun Chen ◽

Wei Wu

Keyword(s):

Valence Bond ◽

Wave Functions ◽

Hamiltonian Matrix ◽

Matrix Elements ◽

Density Matrices ◽

Reduced Density Matrices ◽

Valence Bond Theory ◽

Bond Theory ◽

Reduced Density

Download Full-text

A BRIEF REPORT ON THE CURRENT STATUS OF RESONATING-VALENCE-BOND THEORY

Modern Physics Letters B ◽

10.1142/s0217984988000734 ◽

1988 ◽

Vol 02 (07) ◽

pp. 939-943 ◽

Cited By ~ 3

Author(s):

Z. ZOU ◽

T.C. HSU

Keyword(s):

Quantum Hall ◽

Valence Bond ◽

Square Lattice ◽

Current Status ◽

Fractional Quantum ◽

New Developments ◽

Fractional Quantum Hall ◽

Valence Bond Theory ◽

Resonating Valence Bond ◽

Bond Theory

We report on the current status of the Resonating-Valence-Bond theory, reviewing recent progress made by the Princeton group. We outline new developments concerning the topology of spinons, the geometric “meron” description, the SU(2) gauge theory for the insulating state and the possible connection between fractional quantum Hall state and an RVB state on a square lattice. The current understanding of the normal metallic and superconducting states is also summarized.

Download Full-text