scholarly journals Linked-cluster expansions for quantum magnets on the hypercubic lattice

2016 ◽  
Vol 94 (12) ◽  
Author(s):  
Kris Coester ◽  
Darshan G. Joshi ◽  
Matthias Vojta ◽  
Kai Phillip Schmidt
2016 ◽  
Vol 186 (6) ◽  
pp. 633-639
Author(s):  
Aleksandr I. Smirnov

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Luca Fresta

AbstractWe study discrete random Schrödinger operators via the supersymmetric formalism. We develop a cluster expansion that converges at both strong and weak disorder. We prove the exponential decay of the disorder-averaged Green’s function and the smoothness of the local density of states either at weak disorder and at energies in proximity of the unperturbed spectrum or at strong disorder and at any energy. As an application, we establish Lifshitz-tail-type estimates for the local density of states and thus localization at weak disorder.


2015 ◽  
Vol 92 (22) ◽  
Author(s):  
H. D. Scammell ◽  
O. P. Sushkov

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Kai Yang ◽  
Soo-Hyon Phark ◽  
Yujeong Bae ◽  
Taner Esat ◽  
Philip Willke ◽  
...  

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.


2009 ◽  
Vol 87 (34) ◽  
pp. 12
Author(s):  
ELIZABETH WILSON

1986 ◽  
Vol 33 (10) ◽  
pp. 3022-3030 ◽  
Author(s):  
W. Celmaster ◽  
Eve Kovács ◽  
F. Green ◽  
R. Gupta
Keyword(s):  

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