scholarly journals Magnetization beyond the Ising limit of Ho2Ti2O7

2019 ◽  
Vol 99 (8) ◽  
Author(s):  
L. Opherden ◽  
T. Herrmannsdörfer ◽  
M. Uhlarz ◽  
D. I. Gorbunov ◽  
A. Miyata ◽  
...  
Keyword(s):  
Ising Limit

scholarly journals FIRST LATTICE EVIDENCE FOR A NONTRIVIAL RENORMALIZATION OF THE HIGGS CONDENSATE

1998 ◽  
Vol 13 (29) ◽  
pp. 2361-2367 ◽  
Author(s):  
P. CEA ◽  
L. COSMAI ◽  
M. CONSOLI
Keyword(s):  
Wave Function ◽  
Continuum Limit ◽  
Higgs Mass ◽  
Lattice Simulation ◽  
Wave Function Renormalization ◽  
Renormalization Factor ◽  
Physical Mass ◽  
The Difference ◽  
Ising Limit ◽  
The Continuum

General arguments related to "triviality" predict that, in the broken phase of (λΦ4)4 theory, the condensate <Φ> rescales by a factor Zφ different from the conventional wave function renormalization factor, Z prop . Using a lattice simulation in the Ising limit, we measure Zφ= m2χ from the physical mass and susceptibility and Z prop from the residue of the shifted-field propagator. We find that the two Z's differ, with the difference increasing rapidly as the continuum limit is approached. Since Zφ affects the relation of <Φ> to the Fermi constant, it can sizably affect the present bounds on the Higgs mass.

Mobility of spin polarons with vertex corrections

2019 ◽  
Vol 33 (18) ◽  
pp. 1950195
Author(s):  
Marcielow J. Callelero ◽  
Danilo M. Yanga
Keyword(s):  
Order Term ◽  
Hard Core ◽  
Hole Mobility ◽  
Boltzmann Distribution ◽  
Temperature Limit ◽  
Self Energy ◽  
Vertex Corrections ◽  
Bosonic Operator ◽  
Dirac Distribution ◽  
Ising Limit

The mobility of holes in the spin polaron theory is discussed in this paper using a representation where holes are described as spinless fermions and spins as normal bosons. The hard-core bosonic operator is introduced through the Holstein–Primakoff transformation. Mathematically, the theory is implemented in the finite temperature (Matsubara) Green’s function method. The expressions for the zeroth-order term of the hole mobility is determined explicitly for hole occupation factor taking the form of Fermi–Dirac distribution and the classical Maxwell–Boltzmann distribution function. These are proportional to the relaxation time and the square of the renormalization factor. In the Ising limit, we showed that the mobility is zero and the holes are localized. The calculation of the hole mobility is generalized by considering the vertex corrections, which included the ladder diagrams. One of the vertex functions in the hole mobility can be evaluated using the Ward identity for hole-spin wave weak interaction. We also derived an expression for the hole mobility with vertex corrections in the low-temperature limit and vanishing self-energy effects. Our calculation is made up to second-order correction in the case where the hole occupation factor follows the Fermi–Dirac distribution.

The ground state of the Heisenberg antiferromagnetic chain in the quasi-ising limit

1988 ◽  
Vol 67 (3) ◽  
pp. 225-228 ◽  
Author(s):  
M. Lagos ◽  
M. Kiwi ◽  
E.R. Gagliano ◽  
G.G. Cabrera
Keyword(s):  
Ground State ◽  
Ising Limit

Ferrimagnetic order and spontaneous magnetization in a mixed-spin XXZ chain with single-ion anisotropy

2015 ◽  
Vol 29 (12) ◽  
pp. 1550070 ◽  
Author(s):  
Ling Qiang ◽  
Guang-Hua Liu ◽  
Guang-Shan Tian
Keyword(s):  
Ground State ◽  
Spontaneous Magnetization ◽  
Quantum Phase Transitions ◽  
Infinite Time ◽  
Bipartite Entanglement ◽  
Ferrimagnetic Phase ◽  
Mixed Spin ◽  
Xxz Chain ◽  
Ising Limit ◽  
Two Phases

The ground-state properties of the spin-(1/2, 1) mixed-spin XXZ chain with single-ion anisotropy (D) are investigated by the infinite time-evolving block decimation (iTEBD) method. A ground-state phase diagram including three phases, i.e., a fully polarized phase, an XY phase and a ferrimagnetic phase, is obtained. The ferrimagnetic phase is found to extend to the regions with (Δ > 1, D > 0) and (Δ < 1, D < 0), where Δ denotes the coupling anisotropy between the localized spins. By the discontinuous behavior of bipartite entanglement, quantum phase transitions (QPTs) between the XY phase and the other two phases are verified to be of the first-order. Furthermore, two constant spontaneous magnetization values (Mz = 3/2 and 1/2) are observed in the fully polarized and the ferrimagnetic phases, respectively. In both cases of Δ → +∞ and D → -∞, the ground state tends to the Ising limit. In addition, both the long-range ferromagnetic and antiferromagnetic orders are found to coexist in the whole ferrimagnetic phase.

The Ising limit of the double‐well model

1980 ◽  
Vol 21 (4) ◽  
pp. 881-890 ◽  
Author(s):  
Florin Constantinescu ◽  
Berthold Ströter
Keyword(s):  
Well Model ◽  
Ising Limit
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