EFFECTIVE ACTION OF A TWO-DIMENSIONAL ANTIFERROMAGNET

1988 ◽  
Vol 02 (02) ◽  
pp. 203-219 ◽  
Author(s):  
L. B. IOFFE ◽  
A. I. LARKIN
Keyword(s):  
Effective Action ◽  
Quantum Fluctuations ◽  
Wave Action ◽  
Spin Liquid ◽  
Antiferromagnetic State ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Long Wave ◽  
Quantum Antiferromagnet ◽  
Spin And Statistics

In the limit of weak quantum fluctuations an effective long-wave action of the Heisenberg quantum antiferromagnet is obtained which allows one to get a spectrum, spin, and statistics of long-wave fluctuations. In the vicinity of the point of instability of an antiferromagnetic state quantum fluctuations result (at zero temperature as well) in a paramagnetic phase of a spin liquid.

scholarly journals Realization of a spin liquid in a two dimensional quantum antiferromagnet

1993 ◽  
Vol 71 (26) ◽  
pp. 4393-4396 ◽  
Author(s):  
A. Parola ◽  
S. Sorella ◽  
Q. F. Zhong
Keyword(s):  
Spin Liquid ◽  
Two Dimensional ◽  
Quantum Antiferromagnet

scholarly journals More on complex Sachdev-Ye-Kitaev eternal wormholes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Effective Action ◽  
Chemical Potential ◽  
Specific Charge ◽  
Zero Temperature ◽  
Small Coupling ◽  
Chemical Potentials ◽  
Quench Dynamics ◽  
Two Sides

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

Quantum fluctuations in a disordered two-dimensional spin model

1996 ◽  
Vol 54 (5) ◽  
pp. 3343-3349 ◽  
Author(s):  
P. Gawiec ◽  
D. R. Grempel
Keyword(s):  
Quantum Fluctuations ◽  
Spin Model ◽  
Two Dimensional

scholarly journals Spinning rough disc moving in a rarefied medium

2010 ◽  
Vol 466 (2119) ◽  
pp. 2033-2055 ◽  
Author(s):  
Alexander Plakhov ◽  
Tatiana Tchemisova ◽  
Paulo Gouveia
Keyword(s):  
The Body ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Optimal Mass Transport ◽  
Dense Gases ◽  
Magnus Effect ◽  
Inverse Effect ◽  
Transversal Force ◽  
The Moment ◽  
Complementary Mechanism

We study the Magnus effect: deflection of the trajectory of a spinning body moving in a gas. It is well known that in rarefied gases, the inverse Magnus effect takes place, which means that the transversal component of the force acting on the body has opposite signs in sparse and relatively dense gases. The existing works derive the inverse effect from non-elastic interaction of gas particles with the body. We propose another (complementary) mechanism of creating the transversal force owing to multiple collisions of particles in cavities of the body surface. We limit ourselves to the two-dimensional case of a rough disc moving through a zero-temperature medium on the plane, where reflections of the particles from the body are elastic and mutual interaction of the particles is neglected. We represent the force acting on the disc and the moment of this force as functionals depending on ‘shape of the roughness’, and determine the set of all admissible forces. The disc trajectory is determined for several simple cases. The study is made by means of billiard theory, Monge–Kantorovich optimal mass transport and by numerical methods.

Generalized Zero-Temperature Glauber Dynamics in a Two-Dimensional Square Lattice

2012 ◽  
Vol 29 (12) ◽  
pp. 120502
Author(s):  
Qing-Kuan Meng ◽  
Dong-Tai Feng ◽  
Xu-Tuan Gao ◽  
Yu-Xue Mei
Keyword(s):  
Glauber Dynamics ◽  
Square Lattice ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Generalized Zero

scholarly journals Zero-temperature coarsening in the two-dimensional long-range Ising model

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Henrik Christiansen ◽  
Suman Majumder ◽  
Wolfhard Janke
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Two Dimensional ◽  
Zero Temperature
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