scholarly journals Magnetic field tuning of quantum spin excitations in a weakly coupled S=12 Heisenberg spin chain as seen from NMR

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Long Ma ◽  
Z. Wang ◽  
L. Hu ◽  
Z. Qu ◽  
N. Hao ◽  
...  
2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Pengcheng Lu ◽  
Yi Qiao ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kang jie Shi ◽  
...  

Abstract A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t − W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the NLIE. This method can be generalized to other lattice quantum integrable models. Taking the SU(3)-invariant quantum spin chain as an example, we construct the corre- sponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.


2019 ◽  
Vol 52 (25) ◽  
pp. 255302 ◽  
Author(s):  
Etienne Granet ◽  
Jesper Lykke Jacobsen ◽  
Hubert Saleur

2016 ◽  
Vol 7 (1) ◽  
Author(s):  
O. V. Marchukov ◽  
A. G. Volosniev ◽  
M. Valiente ◽  
D. Petrosyan ◽  
N. T. Zinner

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
S. E. Nikitin ◽  
S. Nishimoto ◽  
Y. Fan ◽  
J. Wu ◽  
L. S. Wu ◽  
...  

AbstractThe Heisenberg antiferromagnetic spin-1/2 chain, originally introduced almost a century ago, is one of the best studied models in quantum mechanics due to its exact solution, but nevertheless it continues to present new discoveries. Its low-energy physics is described by the Tomonaga-Luttinger liquid of spinless fermions, similar to the conduction electrons in one-dimensional metals. In this work we investigate the Heisenberg spin-chain compound YbAlO3 and show that the weak interchain coupling causes Umklapp scattering between the left- and right-moving fermions and stabilizes an incommensurate spin-density wave order at q = 2kF under finite magnetic fields. These Umklapp processes open a route to multiple coherent scattering of fermions, which results in the formation of satellites at integer multiples of the incommensurate fundamental wavevector Q = nq. Our work provides surprising and profound insight into bandstructure control for emergent fermions in quantum materials, and shows how neutron diffraction can be applied to investigate the phenomenon of coherent multiple scattering in metals through the proxy of quantum magnetic systems.


2016 ◽  
Vol 30 (34) ◽  
pp. 1650393 ◽  
Author(s):  
Jing Yang ◽  
Mei-Yan Cong ◽  
Yan-Xia Huang

Pairwise quantum discord (QD) and entanglement of the three-qubit XXZ Heisenberg spin chain with two types of three-site interactions and an external magnetic field are investigated. Our study found that both entanglement and quantum discord could detect the quantum critical phenomena of this model. We were able to obtain a nonzero value of quantum discord even at high temperature with the increase of XZX[Formula: see text]YZY or XZY[Formula: see text]YZX three-site interaction, however, the cooperative effect of XZX[Formula: see text]YZY and XZY[Formula: see text]YZX interactions is more ideal. Furthermore, in contrast to XZY[Formula: see text]YZX and XZX[Formula: see text]YZY interactions, the cooperative effect of XZX[Formula: see text]YZY and XZY[Formula: see text]YZX three-site interactions is more efficient to enhance the maximum value of quantum discord. Likewise, the cooperative effect of XZX[Formula: see text]YZY and XZY[Formula: see text]YZX interactions is the most optimal to increase the range of magnetic field or anisotropy parameter where quantum discord maintains the maximum value.


Sign in / Sign up

Export Citation Format

Share Document