Quantum wetting transition in the one-dimensional transverse-field Ising model with random bonds

2021 ◽  
Vol 104 (13) ◽  
Author(s):  
Kun Hu ◽  
Xintian Wu
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Wetting Transition ◽  
One Dimensional ◽  
The One ◽  
Transverse Field Ising Model

Quantum quench dynamics of the one-dimensional Ising model in transverse field

Pramana ◽  
2019 ◽  
Vol 92 (4) ◽  
Author(s):  
Wei-Ke Zou ◽  
Nuo-Wei Li ◽  
Chong Han ◽  
Dong-dong Liu
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
One Dimensional ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
The One

SOME EXACT CALCULATIONS OF AN ALTERNATING TRANSVERSE ISING MODEL

2002 ◽  
Vol 16 (26) ◽  
pp. 3871-3881 ◽  
Author(s):  
HIDENORI SUZUKI ◽  
MASUO SUZUKI
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Two Dimensions ◽  
Honeycomb Lattice ◽  
Temperature Phase ◽  
One Dimensional ◽  
Transverse Ising Model ◽  
Temperature Phase Transition ◽  
Exact Calculations ◽  
The One

The alternating transverse Ising model with A and B sublattices is solved exactly in one and two dimensions, when a transverse field applied only to the A sublattice. The critical point of the honeycomb lattice is given as a function of the alternating transverse field. Moreover, the zero-temperature phase transition in the one-dimensional model with another alternating transverse field is discussed rigorously.

ONE-DIMENSIONAL QUANTUM TRANSVERSE-FIELD ISING MODEL: A SEMICLASSICAL TRANSFER MATRIX APPROACH

2010 ◽  
Vol 24 (27) ◽  
pp. 5457-5468
Author(s):  
TUNCER KAYA
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Transverse Field ◽  
Paramagnetic Phase ◽  
Ferromagnetic Phase ◽  
Quantum Field ◽  
One Dimensional ◽  
Average Magnetization ◽  
Transfer Matrix Approach ◽  
Transverse Field Ising Model

In this work we present a semi-classical transfer matrix method to study one-dimensional modified quantum transverse-field Ising model. Both average magnetization per spin along the z-direction 〈σz〉 and along the x-direction 〈σx〉 are calculated in this picture. It is predicted that the t > 1 case is the corresponding effective ferromagnetic phase [Formula: see text] at sufficiently high Hz whereas t < 1 case is an effective paramagnetic phase [Formula: see text]. Consequently, it is concluded that t = Hz/K = 1, here Hz is the transverse field along the z-axis and K is the coupling strength, which corresponds to quantum ferromagnetic-paramagnetic phase transition. In other words, the same result of the sophisticated quantum field theoretical calculation is predicted unexpectedly in the naive semiclassical picture.

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