scholarly journals Highly frustrated spin-lattice models of magnetism and their quantum phase transitions: A microscopic treatment via the coupled cluster method

2014 ◽  
Author(s):  
R. F. Bishop ◽  
P. H. Y. Li ◽  
C. E. Campbell
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Lattice Models ◽  
Quantum Phase ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Coupled Cluster Method ◽  
Spin Lattice ◽  
Frustrated Spin

scholarly journals HIGH-ORDER COUPLED CLUSTER RESULTS FOR QUANTUM ANTIFERROMAGNETS AND THEIR PHASE TRANSITIONS

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1385-1388
Author(s):  
R. F. BISHOP ◽  
D. J. J. FARNELL
Keyword(s):  
Phase Transitions ◽  
Excited State ◽  
Approximation Scheme ◽  
Quantum Phase Transitions ◽  
High Order ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Zero Temperature ◽  
Coupled Cluster Method ◽  
Quantum Antiferromagnets

The normal coupled cluster method is implemented to high orders in a systematic approximation scheme, and is shown to give accurate ground- and excited-state properties of anisotropic Heisenberg antiferromagnets and their quantum phase transitions at zero temperature.

scholarly journals Quantum phase transitions of a square-lattice Heisenberg antiferromagnet with two kinds of nearest-neighbor bonds: A high-order coupled-cluster treatment

2000 ◽  
Vol 61 (21) ◽  
pp. 14607-14615 ◽  
Author(s):  
Sven E. Krüger ◽  
Johannes Richter ◽  
Jörg Schulenburg ◽  
Damian J. J. Farnell ◽  
Raymond F. Bishop
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
High Order ◽  
Quantum Phase ◽  
Square Lattice ◽  
Coupled Cluster ◽  
Heisenberg Antiferromagnet

scholarly journals MICROSCOPIC CALCULATIONS OF QUANTUM PHASE TRANSITIONS IN FRUSTRATED MAGNETIC LATTICES

2006 ◽  
Vol 20 (19) ◽  
pp. 2612-2623
Author(s):  
RAYMOND F. BISHOP ◽  
SVEN E. KRÜGER
Keyword(s):  
Phase Transitions ◽  
Quantum Monte Carlo ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Cluster Method ◽  
Many Body ◽  
Many Body Theory ◽  
Body Theory ◽  
Quantum Monte Carlo Simulations ◽  
Spatial Continuum

It is nowadays acknowledged that the coupled cluster method (CCM) provides one of the most powerful and most widely used of all ab initio techniques of microscopic quantum many-body theory. It has been applied to a broad range of both finite and extended physical systems defined on a spatial continuum, where it has generally yielded numerical results which are among the most accurate available. This widespread success has spurred many recent applications to quantum systems defined on a lattice. We discuss here a typical example of a two-dimensional spin-half Heisenberg magnet with two kinds of competing nearest-neighbour bonds. We show how the CCM can successfully describe the influence of strong quantum fluctuations on the zero-temperature phases and their quantum phase transitions. The model shows how the CCM can successfully describe the effects of competition between magnetic bonds with and without the presence of frustration. The frustrated case is particulary important since many other methods, including quantum Monte Carlo simulations, typically fail in this regime.

scholarly journals Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models

2016 ◽  
Vol 93 (6) ◽  
Author(s):  
Qian-Qian Shi ◽  
Hong-Lei Wang ◽  
Sheng-Hao Li ◽  
Sam Young Cho ◽  
Murray T. Batchelor ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Lattice Models ◽  
Quantum Phase ◽  
Two Dimensional ◽  
Quantum Lattice
Sign in / Sign up

Export Citation Format

Share Document