Bogoliubov Transformation Spin Wave

  1. PDF Schwinger-boson mean-field theory of the Heisenberg ferrimagnetic spin chain.
  2. Phys. Rev. B 92, 174517 (2015) - Symmetry and topology of two.
  3. HW - PHYSICS 211B CONDENSED MATTER PHYSICS HW... - Course Hero.
  4. Linear spin wave theory for the frustrated ferromagnetic spin.
  5. Quantum mechanics - Bogoliubov-Valatin transformation.
  6. What is the correct Bogoliubov transformation for a SDW (spin.
  7. Bogoliubov transformations in black-hole evaporation.
  8. Analytic description of spin waves in dipolar/octupolar.
  9. PDF Modified Spin-Wave Theory on Low-Dimensional Heisenberg... - researchmap.
  10. (PDF) Bogoliubov transformations and fermion condensates in lattice.
  11. Homework and exercises - Bogoliubov transformation with two.
  12. Modified Spin-Wave Theory on Low-Dimensional Heisenberg Ferrimagnets: A.
  13. Bogoliubov transformations and fermion condensates in lattice field.

PDF Schwinger-boson mean-field theory of the Heisenberg ferrimagnetic spin chain.

Article “The Numerical Pursuit of Bogoliubov Transformation of Spin Waves in Triangular Antiferromagnets.” Detailed information of the J-GLOBAL is a service based on the concept of Linking, Expanding, and Sparking, linking science and technology information which hitherto stood alone to support the generation of ideas. He-3 and other p-wave systems 8 A deeper study on He-3, "A theoretical description of the new phases of liquid He-3", Anthony Leggett, RMP 47, 331 (1975). 9 p-wave pairing, "The superconductivity of Sr2RuO4 and the physics of spin triplet pairing", Rev. Mod. Physics 75, 657, (2003). Goldstone modes, and spin-wave theory. Using the Neel state as the broken symmetry state one might think we should be able to find spin-wave excitations which we know are gapless, and lead to power law correlations.... Bogoliubov transformation The Bogoliubov transformation, ck = ukak −vkb.

Phys. Rev. B 92, 174517 (2015) - Symmetry and topology of two.

We study the one-dimensional isotropic spin-1 Heisenberg magnet with antiferromagnetic nearest-neighbor (nn) and next-nearest-neighbor (nnn) interactions by using the modified spin wave theory (MSWT). The ground state energy and the singlet-triplet energy gap are obtained for several values of j, defined as the ratio of the nnn interaction constant to the nn one. Hamiltonian A step-by-step Bogoliubov transformation method for diagonalising a kind of non-Hermitian effective Hamiltonian Authors: Ba An Nguyen Vietnam Academy of Science and Technology Abstract.

HW - PHYSICS 211B CONDENSED MATTER PHYSICS HW... - Course Hero.

The Berry curvature of Bloch electrons has recently turned out to be a powerful and unifying concept in the linear response theory of electrons in periodic crystals under applied electromagnetic fields [1-3].The methodology was not only successful in providing a deep insight into the physical mechanisms leading to the anomalous Hall effect, spin Hall effect, electric polarization, orbital. Spin-wave theory (SWT) is the simplest and most popular approach for treating quantum spin systems that have a magnetically ordered ground state and small quantum fluctuations.... that is diagonalized by means of a standard Bogoliubov transformation. 3. Bilinear-biquadratic model. The simplest examples of non-dipolar orderings are provided. The trouble is that I'm not aware of a simple way to implement a Bogoliubov transformation for Hamiltonians of this type - there are some papers on spin-wave theory which address similar problems, but the examples I have seen do not have the same structure of couplings, so those closed forms do not apply.

Linear spin wave theory for the frustrated ferromagnetic spin.

3 The Gutzwiller wave function 9 4 Strong coupling theory 15 5 Spin waves 18 6 Single hole problem 21 7 Summary and discussion 29 A The bosonic Bogoliubov transformation 31 E. Pavarini, E. Koch, and P. Coleman (eds.) Many-Body Physics: From Kondo to Hubbard Modeling and Simulation Vol. 5 Forschungszentrum J¨ulich, 2015, ISBN 978-3-95806-074-6. Apr 20, 2021 · We derive analytic forms for spin waves in pyrochlore magnets with dipolar-octupolar interactions, such as Nd 2 Zr 2 O 7. We obtain full knowledge of the diagonalized magnonic Hamiltonian within the linear spin wave approximation. We also consider the effect of a 'breathing mode' as a perturbation of this system.

Quantum mechanics - Bogoliubov-Valatin transformation.

B. Bogoliubov-Valatin transformation We now solve the eigen-energies and eigenstates of the 4-component Hamiltonian. For the singlet case, d k = 0, and it's basically just two copies of the 2-component s-wave BdG equations discussed earlier. Therefore, we focus only on the triplet case (d 0 = 0). Furthermore, we consider only the unitary state.

What is the correct Bogoliubov transformation for a SDW (spin.

Abstract We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theories regularized on a lattice. We derive the conditions these transformations must satisfy to factorize the transfer matrix into two terms which propagate fermions and antifermions separately, and we solve the relative equations under some conditions. We relate these equations to the.

Bogoliubov transformations in black-hole evaporation.

. We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theories regularized on a lattice. We derive the conditions these transformations must satisfy to factorize the transfer matrix into two terms which propagate fermions and antifermions separately, and we solve the relative equations under some conditions.

Analytic description of spin waves in dipolar/octupolar.

2.3 Model system 1: Linear spin-wave theory Geometry (thin film) Numerical approach Ewald summation technique Diagonalization of 2N x 2N matrix Analytic approaches Approximation for lowest mode Bogoliubov transformation No dipolar interaction: known result H 2 = Ã A ~ k B ~ k B ¤ ¡ ~ k ¡ A T ¡ ~ k! E ~ k = q [h + ½ ex ~ k 2 + ¢(1 ¡ f. Hamiltonian or in minimizing the free energy, making the Bogoliubov transformation dependent on temperature or leaving it free from temperature dependence. We can bring the thus-modified spin waves into interaction on the basis of the Hartree-Fock approximation or through the use of Wick's theorem in an attempt to refine their descriptions. We present a detailed study of the gap symmetry and the quasiparticle wave function topology in two-dimensional superconductors without inversion center. The strong spin-orbit coupling of electrons with the crystal lattice makes it necessary to describe superconductivity in terms of one or more nondegenerate bands characterized by helicity. We develop a topological classification of the.

PDF Modified Spin-Wave Theory on Low-Dimensional Heisenberg... - researchmap.

Introducing the Holstein-Primakoff transformation and and using the Bogoliubov transformation 57,58, the Hamiltonian can be diagonalized and the spin squeezing parameter can be obtained as (see. Adding to (27.3) the energy ξ k of one (unbound) electron then yields the quasiparticle excitation energy, where we used Eqs. (26.24) and (26.27). Thus the energy needed to add an electron in state k ↓ is σ k. If we calculate the energy required to remove an electron in a state - k ↓ we also obtain σ k. Note the minimum excitation. Bogoliubov transformations and fermion condensates in lattice field theories. Annals of Physics, 2009. Giovanni Viola. Download Download PDF. Full PDF Package Download Full PDF Package. This Paper. A short summary of this paper. 37 Full PDFs related to this paper.

(PDF) Bogoliubov transformations and fermion condensates in lattice.

Holstein-Primakoff transformation which transforms spin operators into bosons is used for the spin-wave calculations such that Sz i = s −a † i ai, S + i = √ 2sfiai, S − i = √ 2sa i fi, (4) where fi = 1−a† i ai/2s, s is the spin quantum number and S ± i = S x i ± iS y i. Substituting Eqs. (4)into(3) and approximating the. On the Bogoliubov-de Gennes equations. TQT ‐1 Main claims of this talk: 1. For 50 years, almost all theoretical work on inhomogeneous Fermi Superfluids, including work on topological quantum technology in (p + ip) superconductors, has been based on the Bogoliubov-de Gennes (generalized mean-field) method. 2. 1. Introduction. Bosonic Bogoliubov quasiparticles arise in many different physical systems and have been studied extensively in condensed matter physics for their static properties , , , , ,.As the bosonic Bogoliubov operator is non-Hermitian, we have found in that the dynamics is a continuous Lorentz transformation of a state in complex Minkowski space.

Homework and exercises - Bogoliubov transformation with two.

Spin-wave theory ~SWT! and the quantum Monte Carlo method ~QMC!, which is confirmed by Kolezhuket al.3 with the matrix product approach. It is also consistent with... Then the angle of the Bogoliubov transformation is ex-pressed in a compact form cosh2uk5 1 A12h2g k 2, sinh2uk5 uhgku 12h2g k 2, ~10! and the self-consistent equations read..

Modified Spin-Wave Theory on Low-Dimensional Heisenberg Ferrimagnets: A.

Jul 13, 2022 · On spin-statistics and bogoliubov transformations in flat space-time. Majorana nanowires for topological quantum computation: A. Phys. Rev. A 90, 023619 2014 - Three-component topological superfluid. Bogoliubov transformations and fermion condensates in lattice field. What are the physical significance of Bogoliubov.

Bogoliubov transformations and fermion condensates in lattice field.

In the zero external field limit and for a spin 1/2 lattice the bound M(β) is implicitly given by the equation 1 - M = 2M(2π)"M j dnp(eβE^IM-ί)'1, (1) where β is the inverse temperature and E p stands for the energy of a spin wave with momentum p. The integration is carried over the first Brillouin zone. By inspection,. Apr 23, 2021 · $\begingroup$ I would suspect that the reason is one must not sum over all k, but rather only over k>0, since k and -k appear in tuples... what you obverse is just a manifestation of the resulting ambiguity if you allow to split your sum to all k (which is highly ambiguous), and I would be surprised if all splittings except for the singular one would give the the same result. $\endgroup$.


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