Questions tagged [condensed-matter]
For all matters related to condensed matter physics.
78
questions
3
votes
0answers
28 views
Is the derivative of the Berry curvature with respect to the band energy possible?
The Berry curvature is one of the most important quantities for a topological material like Dirac semimetal(DSM), Weyl semimetal(WSM) etc. Berry curvature is always momentum ($k$) dependent and ...
3
votes
0answers
78 views
Why is there a deviation between the experimentally calculated values and theoretical done by DFT calculation? [duplicate]
If there was a deviation between the experimentally calculated values and theoretical determination done by DFT calculation, then what is the reason?
6
votes
1answer
126 views
About LaCrO3 space group stability
I found two space groups of $\ce{LaCrO3}$ material Pnma and Pm-3m. If someone is familiar with this material, please help to understand which phase is more stable. what are the factors that determine ...
11
votes
2answers
445 views
Why the band structure of a slab is not smooth?
I am trying to calculate the band structure of a TiO2-Rutile slab, but the result I got is not very smooth, and the result shows it is an indirect gap material, but the bulk phase of TiO2-Rutile is a ...
4
votes
0answers
29 views
Do the VBM and CBM have to be on the high symmetry point? [duplicate]
I am trying to generate the band structure of a slab, a lot of tutorials tell me that I need to generate the high symmetry K point path, but I am wondering that if the VBM and CBM have to be on the ...
4
votes
0answers
37 views
How to compare the band structure of a slab and a bulk phase primitive cell
I am trying to simulate the band structure of a slab, and compare it to the original band structure of the bulk phase. but I got confused when seeing the different K spaces between the slab model and ...
7
votes
1answer
47 views
How to numerically calculate quantum state distance using quantum metric?
In Ran Cheng's review of the quantum geometric tensor, eq. (11) gives the tensor as:
$$
Q_{\mu\nu}=\sum_{n\neq 0}\frac{\langle\phi_0|\partial_\mu H|\phi_n\rangle\langle\phi_n|\partial_\nu H|\phi_0\...
12
votes
3answers
187 views
How does a beginner condensed matter theorist working on real materials, get up to speed?
I asked this on Physics.SE and got recommended here.
More precisely, as a condensed matter theory PhD student, I am often overwhelmed by the wide variety of chemical formulas that experimentalists ...
9
votes
1answer
190 views
What software can I use for gas adsorption calculations?
We are from a new research group working on matter modelling. Currently our work has focused mainly on classical Molecular Dynamics (MD), Lattice Dynamics (LD) and ab-initio methods. For these, we ...
9
votes
1answer
452 views
Kramer's Degeneracy and Antiferromagnetism
How can one understand the concept of Kramer's Degeneracy for an antiferromagnetic system where spin-up and spin-down bands overlap due to net zero magnetic moment?
9
votes
1answer
65 views
How to identify localized surface states in the band structure
After calculating the band diagram of a structure, is there a way to identify localized surface states?
I am working with Si nanowires with different cross sections. I want to determine the band gap ...
9
votes
1answer
110 views
Evaluating Seebeck coefficient using DFT
I am working with semiconductor materials using the SIESTA DFT package. I have tried the BoltzTraP2 software interface with SIESTA, however the results (Seebeck coefficient of MgO and Si) did not ...
10
votes
1answer
72 views
What is signified by the properties of the electronic band structure?
When considering the band structure of two materials or two structures along a specific k path, what exactly is meant by the gradient and the distance between band lines?
Does this show any ...
6
votes
0answers
40 views
Constructing the symmetry operator from k.p Hamiltonian [closed]
I have a question regarding to how to construct an operator from k.p Hamiltonian. Maybe there are some problems in my understanding, I hope you can point me out and correct my description if I made ...
6
votes
1answer
55 views
Imaginary time dependent operators: (anti)commutation relations
If I know trivial (anti)commutation relation for some operators (let's say Fermi operators), I can only use it if they are in the same moment of time. If I have their time dependence and they don't ...
6
votes
1answer
77 views
How to formulate the second quantization of Dzyaloshinskii-Moriya interaction?
The Dzyaloshinskii-Moriya interaction (DMI) existing in the interface of the ferromagnetic insulator and the metal with strong spin-orbit coupling (SOC) is shown below.
Mathematically, it can be ...
4
votes
1answer
61 views
Hubbard model SU(2) symmetry: manifest invariance
Could someone explain, is it possible to make Hubbard Hamiltonian manifestly SU(2) invariant? I know about the interaction term, but how would kinetic (hopping effect) term have to look like?
Here I'm ...
6
votes
1answer
45 views
Confusions in interpreting Dirac strings (wormholes) in Haldane's Hilbert space picture ft. two tori joined by strings at gapless points
I had a question about Haldane's wormhole interpretation (picture below). I believe he first proposed it in his paper Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-...
6
votes
1answer
77 views
Help with definitions in k-space twisted bilayer graphene model
I am trying to numerically do calculations using Eq. 8 of MacDonald's simple model for twisted Bilayer graphene. I only want to calculate the Berry phase. However, I don't think I have my definitions ...
6
votes
0answers
32 views
Example of 2D k-space models allowing interband transitions after a closed-loop trajectory?
I have been mainly exposed to 2D momentum-space condensed matter models in the context of Berry-related topology. I now want to study models where, if I take a closed loop in momentum space, I will ...
6
votes
2answers
324 views
POSCAR data file for a 2D system
I would like to understand how to calculate the band structure of the Graphene monolayer system using DFT. I am using VASP for material simulation. My question is how to write the crystal structure ...
7
votes
0answers
38 views
The quantum spin Hall phase with Z2 = 0? [closed]
I used first principle calculations to study the thin film model. An obvious crossing was shown to appear at the gamma point when the edge state was calculated, which was originally predicted to be ...
11
votes
1answer
172 views
How to use wavefunctions/density to determine which orbitals lead to edge states?
I have a large matrix for a 1D zigzag edge model of an otherwise $3\times 3$ tight-binding Hamiltonian (3 basis functions, each corresponding to an atomic orbital), involving the variable $k_x$. The ...
9
votes
1answer
213 views
Help with translating Hamiltonian into matrix
Eq. 19 in this paper gives the following Hamiltonian:
$\sigma_a, \tau_a, \eta_a$ are respectively the spin, sublattice pseudospin and valley pseudospin respectively.
Normally, I would have chosen a ...
5
votes
0answers
53 views
Z2 topological index: Is this unconventional formula summed over just filled bands, or all bands?
The $\mathbb{Z}_2$ topological index is usually defined in terms of the Pfaffian of the overlap matrix, as defined by eq. 4 of Kane and Mele's paper:
$$
P(k)=\text{Pf}[\langle u_i(k) | \Theta | u_j(k) ...
7
votes
1answer
104 views
Help with Definitions in Numerical Calculation of Multiband Berry Phase
In the third chapter of Vanderbilt's book, they discuss the so-called multiband parallel transport and provide a scheme for numerical calculations that is similar to the single band case (where the ...
13
votes
1answer
157 views
How to numerically solve real-space 1D time-independent Schrodinger equation using 2D momentum-space Hamiltonian?
Consider the usual simple 2-level graphene Hamiltonian with mass in momentum-space where:
$$
H(k,V)=-t \sum_{\delta} [\cos(k\cdot\delta)\sigma_x-\sin(k\cdot\delta)\sigma_y+V\sigma_z],
$$
where $t$ is ...
8
votes
1answer
58 views
Help with understanding topologically-protected edge states in domain wall systems
Let's say that I have a simple domain wall system for the following Hamiltonian with added on-site potential $M(x)$:
$$\tag{1}
H(k,M)=-t \sum_{\delta} [\cos(k\cdot\delta)\sigma_x-\sin(k\cdot\delta)\...
10
votes
0answers
76 views
Wavefunction magnitudes being degenerate everywhere on parameter space even though energy degeneracies occur at isolated points?
Cross-posted here.
Consider the usual simple 2-level gapless graphene Hamiltonian in momentum-space where the energy dispersion is degenerate/gapless at a Dirac point:
\begin{equation}\tag{1}
{\small
...
8
votes
0answers
78 views
What are some types of topologically-relevant band degeneracies in contemporary 2D condensed matter research?
Cross-posted on Physics.SE.
In the study of 2D condensed matter systems, I have seen several kinds of band degeneracies. I call 'bands' the eigenvalues to the time-independent Schrodinger equation, ...
17
votes
3answers
2k views
What does “strongly correlated” mean?
For quantum many body problem, there is a common terminology “strong correlated systems” that appears in different context. However, it seems that the definition of it is ambiguous and sometimes ...
10
votes
2answers
397 views
How can we say that the KS equation is describing a noninteracting many-electron system?
Based on HK's two theorems, the density functional theory was built. Because one can't find the universal energy functional $F_{HK}[n(r)]$, Kohn and Sham further proposed the Kohn-Sham ansatz: mapping ...
10
votes
1answer
130 views
How can I calculate the J value in an antiferromagnetic material?
I am new to DFT, especially in doing DFT for magnetic materials. I recently came across this paper which indicated the calculation of the J value in the case of antiferromagentic materials as per the ...
8
votes
0answers
92 views
Example of a standard/archetypal/simple 4-band gapped condensed matter model with analytic results?
I am looking to study Berry phase-like phenomena in a gapped 4-band material model. In particular, I want to numerically and analytically calculate the Abelian Berry curvature integral of each band ...
6
votes
1answer
60 views
Example of a standard/archetypal/simple 4-band un-gapped condensed matter model with analytic results?
I am looking to study Berry phase-like phenomena in an un-gapped material model. However, I am having trouble finding a widely-used 4-band model with analytic expressions for wavefunctions and ...
10
votes
1answer
303 views
What's the past and future of 2D materials since graphene?
Since the discovery of graphene in 2004, two-dimensional (2D) materials have been a hot topic in the community of condensed matter physics, which can be considered as the candidate for next-generation ...
5
votes
0answers
124 views
Why does numerical computation of Berry curvature give me a correct Berry phase when it is supposed to diverge?
I implemented the standard numerical algorithm for calculating the Berry curvature in MATLAB. For a given 2D system, I can visualize the Berry curvature over parameter space. If I sum the Berry ...
5
votes
1answer
96 views
Thermo-calc: Calculate precipitation driving force by parallel tangent construction
I want to calculate the difference in Gibbs free energies between a
Zr-Cu-Al liquid (composition - Zr 65 Cu 27.5 Al 7.5 at%) and the CuZr2
solid phase as a function of temperature (300 - 1000 K). In ...
7
votes
0answers
121 views
How to fix gauge in Quantum ESPRESSO?
I am trying to use Quantum ESPRESSO to manually calculate the Berry phase using the Berry connection, due to evolution along a closed loop in k-space. I want to do this manually instead of using ...
6
votes
0answers
58 views
Value of density of state effective mass and transport effective mass to calculate conductivity [closed]
How can density of state effective mass and transport effective mass can be defined to calculate conductivity for a cubic system with parabolic but anisotropic dispersion relation? What will be the ...
12
votes
1answer
599 views
When do we abandon ab initio methods?
This question is related to (and was originally asked in) another post about "quantum protectorates" I made here.
Ab initio methods are nice because they directly solve a sort of "...
5
votes
0answers
42 views
What's the difference between dynamic and static strain aging? [closed]
I do understand how static strain aging occurs and why the yield point comes back if ample time is allotted after a loading and unloading cycles primarily due to diffusion of substitutional and ...
5
votes
0answers
45 views
A doubt about extended dislocation [closed]
I wonder why this phenomenon occurs:
"Unlike unextended screw dislocations, the extended screw dislocations
define a specific slip plane, the {111} plane of the fault and it
will be constrained ...
14
votes
1answer
120 views
What are the physical consequences of adding a constant to the diagonal of the effective Hamiltonian of monolayer materials?
Effective Hamiltonians modeling many-layered materials are often tuned using some sort of bias voltage. For instance, in a $4\times 4$ Hamiltonian matrix to describe biased bilayer graphene using some ...
3
votes
0answers
41 views
Doubt in Raoultian and Henrian Standard State [closed]
$Si(liq)=Si_\text{(1 wt% Fe)}$
Can you describe what is going on here?All that they ask for is change in Gibbs free energy for the process.I am completely unable to figure why this particular model is ...
6
votes
1answer
69 views
Where is this extra plane coming from?
Why are there solid lines drawn connecting the solid circles after twinning has taken place? Ideally, that explains a real plane, isn't it? But why are we going to get a plane out of nothing if we ...
16
votes
2answers
439 views
Software for solving quantum systems in 1D and 2D
I'm looking to solve quantum system in 1D and 2D consisting of a large number of sites.
What are the pros and cons of each package, and which package is more suitable for what type of calculations?
...
12
votes
0answers
103 views
First principles calculations beyond s-wave BCS superconductors [closed]
Conventional superconductors are often modelled using Bardeen-Cooper-Schrieffer (BCS) theory with an s-wave order parameter, but not all superconductors describable with BCS theory have an s-wave ...
8
votes
1answer
69 views
How to predict new Half Metallic materials with higher degree of spin polarization?
Using DFT calculations, how one can predict the new half metallic materials with higher degree of spin polarization. I want to know the steps which have to be followed in prediction of new materials. ...
9
votes
2answers
817 views
How to choose pseudopotential for DFT calculations in Quantum ESPRESSO?
I am a beginner and newly started running DFT calculations to find out the electronic band structure of certain materials in Quantum ESPRESSO. But we have to select the pseudopotential for running the ...