scholarly journals Columnar dimer and plaquette resonating-valence-bond orders in the quantum dimer model

1996 ◽  
Vol 54 (18) ◽  
pp. 12938-12945 ◽  
Author(s):  
P. W. Leung ◽  
K. C. Chiu ◽  
Karl J. Runge
Keyword(s):  
Valence Bond ◽  
Bond Orders ◽  
Dimer Model ◽  
Resonating Valence Bond

scholarly journals Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations

2006 ◽  
Vol 74 (13) ◽  
Author(s):  
Arnaud Ralko ◽  
Michel Ferrero ◽  
Federico Becca ◽  
Dmitri Ivanov ◽  
Frédéric Mila
Keyword(s):  
Triangular Lattice ◽  
Valence Bond ◽  
Dimer Model ◽  
Soft Modes ◽  
Resonating Valence Bond

scholarly journals A resonating-valence-bond theory of metals and intermetallic compounds

1949 ◽  
Vol 196 (1046) ◽  
pp. 343-362 ◽  
Keyword(s):  
Electronic Structure ◽  
Bond Formation ◽  
Valence Bond ◽  
Bond Orders ◽  
Interatomic Distances ◽  
Metallic Structures ◽  
Valence Bond Theory ◽  
Characteristic Structural Feature ◽  
Resonating Valence Bond ◽  
Bond Theory

The resonating-valence-bond theory of metals discussed in this paper differs from the older theory in making use of all nine stable outer orbitals of the transition metals, for occupancy by unshared electrons and for use in bond formation; the number of valency electrons is consequently considered to be much larger for these metals than has been hitherto accepted. The metallic orbital, an extra orbital necessary for unsynchronized resonance of valence bonds, is considered to be the characteristic structural feature of a metal. It has been found possible to develop a system of metallic radii that perm its a detailed discussion to be given of the observed interatomic distances of a metal in term s of its electronic structure. Some peculiar metallic structures can be understood by use of the postulate that the most simple fractional bond orders correspond to the most stable modes of resonance of bonds. The existence of Brillouin zones is compatible with the resonating-valence-bond theory, and the new metallic valencies for metals and alloys with filled-zone properties can be correlated with the electron numbers for important Brillouin polyhedra.

scholarly journals Probing resonating valence bond states in artificial quantum magnets

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Kai Yang ◽  
Soo-Hyon Phark ◽  
Yujeong Bae ◽  
Taner Esat ◽  
Philip Willke ◽  
...  
Keyword(s):  
Quantum Information Processing ◽  
Energy Levels ◽  
Finite Size ◽  
Valence Bond ◽  
Exchange Interactions ◽  
Atomic Scale ◽  
Scanning Tunneling ◽  
Many Body ◽  
Quantum Magnets ◽  
Resonating Valence Bond

AbstractDesigning and characterizing the many-body behaviors of quantum materials represents a prominent challenge for understanding strongly correlated physics and quantum information processing. We constructed artificial quantum magnets on a surface by using spin-1/2 atoms in a scanning tunneling microscope (STM). These coupled spins feature strong quantum fluctuations due to antiferromagnetic exchange interactions between neighboring atoms. To characterize the resulting collective magnetic states and their energy levels, we performed electron spin resonance on individual atoms within each quantum magnet. This gives atomic-scale access to properties of the exotic quantum many-body states, such as a finite-size realization of a resonating valence bond state. The tunable atomic-scale magnetic field from the STM tip allows us to further characterize and engineer the quantum states. These results open a new avenue to designing and exploring quantum magnets at the atomic scale for applications in spintronics and quantum simulations.

scholarly journals Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems

2001 ◽  
Vol 87 (9) ◽  
Author(s):  
Luca Capriotti ◽  
Federico Becca ◽  
Alberto Parola ◽  
Sandro Sorella
Keyword(s):  
Valence Bond ◽  
Spin Systems ◽  
Wave Functions ◽  
Resonating Valence Bond ◽  
Frustrated Spin

Renormalization of the nodal quasiparticle current in the Resonating Valence Bond (RVB) theory

2007 ◽  
Vol 460-462 ◽  
pp. 1151-1152 ◽  
Author(s):  
Bernhard Edegger ◽  
V.N. Muthukumar ◽  
Claudius Gros
Keyword(s):  
Valence Bond ◽  
Resonating Valence Bond
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