scholarly journals Quantum phase transitions in disordered dimerized quantum spin models and the Harris criterion

2010 ◽  
Vol 82 (17) ◽  
Author(s):  
Dao-Xin Yao ◽  
Jonas Gustafsson ◽  
E. W. Carlson ◽  
Anders W. Sandvik
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Spin Models ◽  
Quantum Spin Models ◽  
Harris Criterion

Quantum phase transitions in 1/3 plateau of the quantum spin tube

2013 ◽  
Vol 63 (3) ◽  
pp. 596-600
Author(s):  
Kouichi Okunishi ◽  
Masahiro Sato ◽  
Tôru Sakai ◽  
Kiyomi Okamoto ◽  
Chigaku Itoi
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Spin Tube

Quantum Phase Transitions in Transverse Field Spin Models

2015 ◽  
Author(s):  
Amit Dutta ◽  
Gabriel Aeppli ◽  
Bikas K. Chakrabarti ◽  
Uma Divakaran ◽  
Thomas F. Rosenbaum ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Transverse Field ◽  
Quantum Phase ◽  
Spin Models

Dynamical quantum phase transition in XY chains with the Dzyaloshinskii-Moriya and XZY-YZX three-site interactions

2022 ◽  
Author(s):  
Kaiyuan Cao ◽  
Ming Zhong ◽  
Peiqing Tong
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Quantum Spin Chains ◽  
Excitation Spectra ◽  
Quasiparticle Excitation ◽  
Loschmidt Echo ◽  
Bogoliubov Transformations ◽  
Moriya Interaction

Abstract We study the dynamical quantum phase transitions (DQPTs) in the XY chains with the Dzyaloshinskii-Moriya interaction and the XZY-YZX type of three-site interaction after a sudden quench. Both the models can be mapped to the spinless free fermion models by the Jordan-Wigner and Bogoliubov transformations with the form $H=\sum_{k}\varepsilon_{k}(\eta^†_{k}\eta_{k}-\frac{1}{2})$, where the quasiparticle excitation spectra $\varepsilon_{k}$ may be smaller than 0 for some $k$ and are asymmetrical ($\varepsilon_{k}\neq\varepsilon_{-k}$). It's found that the factors of Loschmidt echo equal 1 for some $k$ corresponding to the quasiparticle excitation spectra of the pre-quench Hamiltonian satisfying $\varepsilon_{k}\cdot\varepsilon_{-k}<0$, when the quench is from the gapless phase. By considering the quench from different ground states, we obtain the conditions for the occurrence of DQPTs for the general XY chains with gapless phase, and find that the DQPTs may not occur in the quench across the quantum phase transitions regardless of whether the quench is from the gapless phase to gapped phase or from the gapped phase to gapless phase. This is different from the DQPTs in the case of quench from the gapped phase to gapped phase, in which the DQPTs will always appear. Besides, we also analyze the different reasons for the absence of DQPTs in the quench from the gapless phase and the gapped phase. The conclusion can also be extended to the general quantum spin chains.

TOPOLOGICAL QUANTUM PHASE TRANSITION BETWEEN QUANTUM SPIN HALL STATE AND QUANTUM ANOMALOUS HALL STATE

2011 ◽  
Vol 25 (17) ◽  
pp. 2323-2340 ◽  
Author(s):  
LAN-FENG LIU ◽  
SU-PENG KOU
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Normal Band ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Topological Order ◽  
Edge States ◽  
Topological Quantum ◽  
The Masses ◽  
Quantum Spin Hall

In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state by calculating their topological properties (edge states, quantized spin Hall conductivities, and the number of zero mode on a π-flux). We find that at the topological quantum phase transitions (TQPTs), the topological "order parameter" — spin Chern number will jump. And since the masses of the nodal fermions will change sign, the third derivative of ground-state energy is nonanalytic. In addition, we discuss the finite temperature properties and the stability of the TQPTs.

scholarly journals Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions

2021 ◽  
Vol 104 (11) ◽  
Author(s):  
Jad C. Halimeh ◽  
Maarten Van Damme ◽  
Lingzhen Guo ◽  
Johannes Lang ◽  
Philipp Hauke
Keyword(s):  
Phase Transitions ◽  
Long Range ◽  
Quantum Spin ◽  
Spin Models ◽  
Dynamical Phase ◽  
Long Range Interactions ◽  
Dynamical Phase Transitions ◽  
Quantum Spin Models
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